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Which Union Ministry is associated with the pilot phase of the Open Network for Digital Commerce (ONDC)?
The Ministry of Commerce and Industry launched the pilot phase of the Open Network for Digital Commerce (ONDC).
It is a firstofitskind initiative globally to pave way for democratising digital commerce to enhance the penetration of digital commerce in the country. The initiative aims to promote an open platform for exchange of goods and services through electronic networks. ONDC would standardise operations, promote inclusion of local suppliers and increase efficiencies in logistics.
India’s first ‘Tribal health observatory (TriHOb)’ has been announced by which state/UT?
The Odisha State ST and SC development department signed an MoU with the Regional Medical Research Centre (RMRC), Bhubaneswar, to set up a tribal health observatory (TriHOb).
This is said to be the first in the country, for ensuring equity in tribal health in Odisha. TriHOb will establish a repository on the health of tribal population of Odisha. Odisha Tribal Family Health Survey was also launched.
Which Indian Bank launched the ‘Openforall’ Digital ecosystem for MSMEs?
ICICI Bank has launched ‘Openforall’ Digital ecosystem for MSMEs. The digital service for Micro, Small and Medium Enterprises (MSMEs) can be used by customers of other banks.
One of the new services it provides is sanction of instant and paperless overdraft facility up to Rs 25 lakh through ‘InstaOD Plus’. The feature enables customers of any bank to avail of an overdraft instantly.
India signed a pact on ‘Green Hydrogen Task Force’ and agreed to work on AIstartups with which country?
India and Germany recently inked a joint declaration of intent on IndoGerman Green Hydrogen Task Force
India and Germany also agreed to work together with focus on Artificial Intelligence (AI) startups as well as AI research and its application in sustainability and health care. India’s Science and Technology and Earth Sciences Minister Jitendra Singh visited Germany as part of his official tour.
What is the new Total Fertility Rate (TFR) in India as per the National Family Health Survey (NFHS5)?
Union Health Minister Mansukh Mandaviya released the National Report of the 5^{th} round of National Family Health Survey (NFHS5) at the ‘Swasthya Chintan Shivir’ held at Vadodara.
The Total Fertility Rate (TFR) which is measured as the average number of children per woman has come down from 2.2 to 2.0 at the national level between NFHS4 and 5. There are only five states in India, which are above the replacement level of fertility of 2.1. This includes Bihar (2.98), Meghalaya, Uttar Pradesh, Jharkhand, and Manipur.
A commemorative coin to mark the birth centenary of Jawaharlal Darda was announced recently. He was a businessman and Minister in which state?
According to a notification issued by the Ministry of Finance, the government will soon issue a commemorative coin of Rs 100 denomination to mark the birth centenary of Jawaharlal Darda.
Born in 1923, he was a former Congress leader and founder of the Lokmat group of newspapers. The successful businessman and also served as a Minister in Maharashtra for several terms. He passed away in 1997.
The Indian Coast Guard commissioned its second Air Squadron ‘845 Squadron (CG)’, at which place?
The Indian Coast Guard commissioned its second Air Squadron ‘845 Squadron (CG)’ at the Coast Guard Air Enclave at Nedumbassery in Kochi.
The new Air Squadron is equipped with the indigenously developed Advanced Mark III (ALH Mark III) helicopters. As of now, four helicopters have been positioned in Kochi to cover the coast of Karnataka, Kerala and Lakshadweep.
Which is the venue of the ‘Semicon India Conference2022’?
The Prime Minister Narendra Modi inaugurated Semicon India Conference2022 in Bengaluru. The consumption of semiconductors is expected to cross USD 110 billion by 2030 and India has the world’s fastest growing startup ecosystem.
The Government of India recently launched ‘Production Linked Incentives’ (PLI) schemes that offer incentives of over 26 Billion Dollars in 14 key sectors.
Which organisation releases the State of the World’s Forests (SOFO) Report?
State of the World’s Forests (SOFO) Report is a flagship publication of Food and Agricultural Organisation (FAO).
As per the 2022 edition of the report, released during the World Forestry Congress, the world has lost 420 million hectares (mha), approximately 10.34 per cent of its total forest area in the last 30 years. It also warned that 15 per cent of 250 emerging infectious diseases have been linked to forests.
Which Indian state/UT recently passed a ‘Startup Policy’, to support 15,000 startups by 2030?
The Delhi Cabinet had passed an ambitious Delhi Startup Policy which aims to turn the capital into an international startup hub.
The vision is to enable Delhi to emerge as a “Global Innovation Hub and the most preferred destination for Startups by 2030”. The government intends to encourage, facilitate and support 15,000 startups by 2030. A Startup Policy Monitoring Committee will be formed to oversee the Policy. It will be headed by the Finance Minister of the Delhi Government.
Which Company launched M15 Petrol, with 15 per cent blend of methanol with petrol?
Indian Oil Corporation (IOC) launched M15 petrol on a pilot basis in Assam’s Tinsukia district. It has a 15 per cent blend of methanol with petrol.
Methanol is being manufactured by Assam Petrochemical Ltd near the Digboi refinery. The government had earlier extended the timeline for the disbursement of loans and completion of projects related to ethanol. The Government also provides financial assistance in the form of interest subvention.
Which startup recently became the 100th unicorn of India?
Open, a neobanking fintech portal recently raised capital to push up its value over a billlion dollars and became India’s 100th unicorn.
Open, a fiveyearold Bengalurubased neobank, raised USD 50 mn recently. Earlier, Google, Temasek, Visa, and Japan’s SoftBank invested USD 100 million in the startup. 14 Indian Startups entered the Unicorn Club In 2022 while 42 startups and 2 listed companies touched the billiondollar valuation in 2021.
Which Indian state is the first to set up a Gene Bank Project?
Maharashtra has announced to set up a ‘Gene bank project’, to conserve native and endangered animals, crops, marine and biological species. It will be implemented by the Maharashtra State Biodiversity Board (MSBB) and Rs 172.39 crore has been allocated for the next five years.
The project will work on seven themes — marine, crop, veterinary, freshwater, grassland biodiversity, protection and management of forest right areas, and regeneration of forests. The project will focus on mitigating the impact on the food chain due to climate change.
What is the rank of India in the ‘RSF 2022 World Press Freedom Index’?
According to the RSF 2022 World Press Freedom Index, India’s ranking has fallen down to 150th position from last year’s 142nd place.
This year, Norway (1st) Denmark (2nd) and Sweden (3rd) were ranked at the top positions, while North Korea remained at the bottom of the list of 180 countries and territories. Reporters sans frontieres (RSF) or Reporters without Borders, a global media watchdog releases the report every year.
Which state has announced incentives for farmers opting for Direct Seeding of Rice (DSR)?
The Punjab government recently announced Rs 1,500 incentive per acre for farmers opting for Direct Seeding of Rice (DSR).
Last year, 18% of the total rice area in the state was under DSR while the government target was 10 lakh hectares. According to the studies by Punjab Agriculture University (PAU), DSR technique can help save 15% to 20% water and sometimes to 23%. It can also solve labour shortage problem as paddy seeds are sown directly with machine, without paddy nursery and transplantation.
Which institution releases the ‘Report on Currency and Finance (RCF)’?
The Reserve Bank of India (RBI) released the ‘Report on Currency and Finance (RCF)’ for the year 202122.
As per the report, price stability is a necessary precondition for strong and sustainable growth. It also proposed a sevenpoint blueprint for reforms. The Indian economy may take 12 years to overcome the losses emanating from the COVID19 pandemic, which account to Rs 52 Lakh Crores.
After the May 2022 Meeting of the Monetary Policy Committee, what is the revised Repo Rate?
The Reserve Bank hiked the repo rate by 40 basis points (bps) to 4.40 per cent, after an unscheduled meeting of the Monetary Policy Committee (MPC) in May 2022. Next meeting of the MPC is scheduled during June 68.
All six members unanimously voted for a rate hike while maintaining the accommodative stance. The decision aimed to contain inflation, which remained above 6 per cent for the last three months. Cash reserve ratio was hiked by 50 bps to 4.5% effective May 21.
Which institution launched the ‘Mandate document’ for National Curriculum Framework (NCF)?
Union Education Minister Dharmendra Pradhan released the ‘Mandate document’ for National Curriculum Framework (NCF).
The National Education Policy 2020 recommended the development of NCF in four areas — school education, early childhood care and education, teacher education and adult education. The development of the NCF is guided by the National Steering Committee (NSC), chaired by Dr K Kasturirangan, and supported by the Mandate Group, along with NCERT.
India’s first greenfield grainbased ethanol plant has been inaugurated in which state/UT?
Bihar Chief Minister Nitish Kumar inaugurated the country’s first greenfield grainbased ethanol plant in Purnea.
The 105crore plant by Eastern India Biofuels is the first one developed since the Centre gave approval to Bihar’s ethanol production and promotion policy2021. The state government has proposed opening at least 17 ethanol plants over the next two years.
QuestionId: 649197
Who is the head of the Delimitation Commission, which redrew the electoral map of Jammu and Kashmir?
The Delimitation Commission, which redrew the electoral map of Jammu and Kashmir, was headed by Justice Ranjana Prakash Desai, a retired judge of the Supreme Court. Chief Election Commissioner Sushil Chandra and state election commissioner K K Sharma are its exofficio members.
The Delimitation Commission released its final report, with 47 seats assigned for Kashmir and 43 for Jammu. There will be five parliamentary constituencies, each with an equal number of 18 Assembly seats while 9 seats were reserved for the Scheduled Tribes (ST).
Additional seats in the assembly for Kashmiri migrants and displaced persons from Pakistan occupied Kashmir were recommended.
The Madras High Court has invoked the “parens patriae jurisdiction” to declare which entity as a ‘living being’?
The Madras High Court has invoked the “parens patriae jurisdiction” to declare Mother Nature as a Living Being with all corresponding rights, duties and liabilities of a living person.
The order was spelt while responding to the petition from an official who sought to quash the proceedings against him for allegedly granting land deed for government land classified as ‘Forest Land’. The court said indiscriminate destruction of nature will endanger the existence of flora and fauna.
India’s first Flow Chemistry Technology Hub (FCT Hub) has been set up in which city?
India’s first Flow Chemistry Technology Hub (FCT Hub) has been set up at Dr Reddy’s Institute of Life Sciences (DRILS) at Hyderabad.
The Government of Telangana supported the establishment of this Centre of Excellence in partnership with Dr Reddy’s Laboratories and Laurus Labs. The hub has stateoftheart flow chemistry equipment to provide handson training ensure greater incorporation of flow chemistry techniques during R&D.
‘National Behaviour Change Communication Framework for Garbage Free Cities’ has been launched under which scheme?
Swachh Bharat MissionUrban 2.0, under the aegis of the Ministry of Housing and Urban Affairs, has launched the ‘National Behaviour Change Communication Framework for Garbage Free Cities’.
It aims to serve as a guiding document and blueprint for States and Cities to undertake large scale multimedia campaigns along with interpersonal communication campaigns. SBM Urban 2.0 is implemented by Ministry of Housing and Urban Affairs (MoHUA).
‘Jivhala’ is a special loan scheme launched by which state government?
The Maharashtra Department of Prisons has launched first kind of credit scheme for prisoners in jails across the state.
The loan scheme titled Jivhala is offered by the Maharashtra State Cooperative Bank for inmates who are undergoing a prison sentence of more than three years. The pilot was introduced at Yerawada Central Jail in Pune, and will be extended to nearly 60 prisons. Inmates can use the loans for education of their children, medical treatment of family members, legal fees, or other expenses.
Cynthia Rosenzweig, who was seen in the news, is the recipient of which prestigious award?
Cynthia Rosenzweig, a senior research scientist at NASA’s Goddard Institute for Space Studies (GISS), received the 2022 World Food Prize from the World Food Prize Foundation.
World Food Prize is a prestigious award conceived as the ‘Nobel Prize for Food and Agriculture’. Rosenzweig was selected for the award for her research to understand the relationship between climate and food systems and forecast how they will change in the future.
Rakhigarhi, which was seen in the news recently, is a Harappan site located in which state?
As per the Archaeological Survey of India, the latest round of excavations at the Rakhigarhi in Haryana’s Hisar has revealed street system on raised platforms, houses with extensive layouts, and a drainage system.
It is a 5,000yearold Harappan site and was one of the five iconic sites announced in the 2020 Budget Speech. The site is also considered the biggest Harappanera site.
Which is the first Asian country to join NATO’s cyber defence group?
South Korea’s National Intelligence Service became the first in Asia to join NATO’s cyber defence group. South Korea has been under Cyberthreats from China and North Korea.
NIS was accepted as a contributing participant for NATO’s Cooperative Cyber Defence Centre of Excellence (CCDCOE). It was a cyber defence hub founded in Estonia, in 2008 and is focused on cybersecurity research, training, and exercises.
Frank Wilczek, the Nobel Prizewinning theoretical physicist and author was honoured with this year’s prestigious Templeton Prize.
The Award was established in 1972 by the late philanthropist Sir John Templeton and it is considered as one of the most lucrative individual awards. It is awarded to individuals whose life’s work symbolises a fusion of science and spirituality. Previous winners include Jane Goodall, Mother Teresa, the Dalai Lama and Archbishop Desmond Tutu.
Which country has reported a rare viral infection ‘Monkeypox’?
A person in the United Kingdom (UK) has been diagnosed with the rare viral infection Monkeypox. The patient recently came back from Nigeria and has been receiving treatment at the hospital.
Monkeypox occurs predominately in central and west Africa. Most of its infections last till two to four weeks and result in swelling of the lymph nodes as well as causes rashes on the body.
The Sawa Lake, a biodiverse wetland seen in the news, is located in which country?
The Sawa Lake, a biodiverse wetland situated near the city of Samawa, Iraq has disappeared mainly due to human activity and climate change.
The fivesquarekilometre lake has been drying up since 2014 and he causes have been climate change and rising temperatures. Over 1000 wells illegally dug for agriculture in the region and cement and salt factories constructed nearby the lake have drained significant amounts of water.
A water tank is 2/5 th full. Pipe A can fill a tank in 10 minutes and pipe B can empty in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
Since pipe B is faster than pipe A and thus, the tank will be emptied.
Part of the tank to be emptied = 2/5
Part emptied by (A+B) in 1 minute= (1/6  1/10) = 1/15.
Therefore,
⇒ 1/15 : 2/5 :: 1: x
⇒ 2/5 * 15 = 6 minutes
A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in?
From the given data, we can get
A's one day work = 1/24,
B's one day work = 1/9 and
Cs one day work = 1/12.
Since, B and C start the work and left after 3 days;
the work done by B and C is = 3 *((1/9) +(1/12)) = 7/12.
Therefore, remaining work = 1 7/12 =5/12.
Time taken by A to complete the remaining work = 24 * 5/12 =10 days.
If a pipe A can fill a tank 3 times faster than pipe B. If both the pipes can fill the tank in 32 minutes, then the slower pipe alone will be able to fill the tank in?
Let, the time is taken by pipe A = x
Then, time is taken by pipe B = x/3
By substituting these values, we get: 1/x + 3/x = 1/32 x = 128 minutes
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs.3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
Work done by A in one day = 1/6.
Work done by B in one day = 1/8
Work done by C in one day = 1/3  (1/6+1/8) = 1/3 7/24 = (87)/24 = 1/24.
A's wage : B's wage : C's wage = 1/6 : 1/8 : 1/24 = 4: 3: 1
Therefore, C's share = (1/8) * 3200 = Rs 400.
9 kids can finish a bit of work in 360 days. 18 men can finish the same work of piece in 72 days and 12 ladies can finish it in 162 days. In how long can 4 men, 12 ladies and 10 kids together finish the bit of work?
9×360 children = 18×72 men = 12×162 women
⇒ 45 children = 18 men
= 27 women
⇒ 5 children = 2 men = 3 women
Now, 4 men + 12 women + 10 children
= 4 men + 8 men + 4 men
= 16 men
∵ 18 men can complete the work in 72 days.
∴ 16 men can complete the work in =18×72/16 = 81 days
A works twice as fast as B. If two can together complete a bit of work in 12 days, then B alone can do it in:
Let B's 1 day work =x.
Then , A's 1 day's work=2x
X+2x=1/12
⇒ 3x=1/12
⇒ x=1/36.
B's 1 day work=1/36.
Hence B alone can finish the work in 36 days.
A boat sails 6 km/hr in still water, however it takes thrice as much time in going the same at distance against the current when compared to the direction of the current. Find the speed of the current?
Given condition:
Speed of the boat in still water = 6 km/hr.
Speed of boat in downstream = 3 * speed of boat in upstream.
Let the speed of the current be 'x' km/hr.
Therefore, speed of the boat in upstream (i.e against the current) = (6x) km/hr.
Speed of the boat in downstream (i.e in the direction of current) = (6+x) km/hr
Now, substituting values in given condition, we get
⇒ (6+x) = 3 * (6x)
⇒ 6+x = 183x
⇒ 4x=12
⇒ x=3 km/hr
Thus, speed of the current = 3 km/hr.
Tina goes to school from her house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If she takes 5 hours in total, then what is the distance between her house and school?
Let the distance between Tina's house and school be 'x' km.
Therefore, time to cover the distance from her house to school = (Distance/ speed) = (x/3) hours.
Similarly, time to cover the distance from her school to house = (x/2) hours.
It is given that total time taken for whole journey= 5 hours.
Thus, (x/3 + x/2)= 5
⇒ ((2x+3x)/6)= 5
⇒ (5x/6) = 5
⇒ 5x=30 or x=6
Thus, distance between her house and school is 6 km
Amit can row 8 km/hr in still water. If the river is flowing at 4 km/hr, it takes 1.5 hours to row to a place and back. How far is the place?
It is given that: Speed in still water = 8 km/hr
Speed of the stream = 4 km/hr
Speed of upstream = (84) = 4 km/hr
Speed of downstream = (8+4) = 12 km/hr
Total time = 1.5 hrs
Let x is the distance.
Then substituting the values, we get
x/12 + x/4 = 3/2
x = 4.5 km
A man covers a distance via auto driving at 70 km/hr and returns back to the beginning point riding on a bike at 55km/hr. What is his average speed for the entire trip?
Average speed = 2xy/(x + y) km/hr
= (2 x 70 x 55)/ (70 + 55) km/hr
= (2 x 70 x 55)/125 km/hr
= 308/5 km/hr
= 61.6 km/hr
The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is :
Let the speed of two trains be 7x Kmph and 8x kmph (speed of second train)
Then, 8x = 400 kms/4hrs = 100kmph
Therefore, speed of first train = 7x = (8/7) * 100
Speed of first train = 87.5 kmph
A truck covers a distance of 550 meters in 1 minute whereas a bus covers a distance of 33 kms in 45 minutes. The ratio of their speeds is:
Ratio of speeds = (550 m/60s * 18/5) : (60 * 33/45) = 33: 44 = 3: 4
How long will a boy take to run round a square field of side 35 metres, if he runs at the rate of 9 km/hr ?
Speed = 9km/hr = ( 9 * 5/18)m/sec = 5/2 m/sec
Total Distance = Perimeter of Square
4 * side of the square = 35 *4 = 140 m
Therefore, time taken = Distance /Speed = 140/(5/2) = 140* 2/5 = 28 *2 = 56sec
Two, trains, one from Mumbai to New Delhi and the other from New Delhi to Mumbai, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. What is the ratio of their speed?
Standard Formula: If two objects A and B begin their journey at the same time from two points P and Q towards each other and after crossing each other they take a and b hours in reaching Q and P respectively, then
A's Speed Vb
B's Speed Va
By looking at the above problem, we can say that, a=9 hours, b=16 hours.
Therefore, Ratio of speeds of two trains = V16/V9 = 4/3 or 4:3
Two trains of lengths 150 m and 180 m respectively are running in opposite directions on parallel tracks. If their speed is 50 km/hour and 58 km/hour respectively. In how much time will they cross each other?
Standard Formula: Suppose A and B are two objects with lengths L1 and L2 respectively, and their speeds are S1 and S2 respectively and moving in opposite direction, then
Crossing Time(Ct) = Length of the objects/ Relative speed of the object(s)
Thus, Ct= (L1+L2)/(S1 +S2)
By looking at the above problem, we can say that,
L1 = 150 m,
L2 = 180 m,
S1 = 50 km/hr
S2 = 58 km/hr
Relative speed= (S1+S2)= 108 km/hr or (108 * 5/18) m/s = 30 m/s.
Therefore, crossing time Ct= (L1+L2)/ Relative speed
Ct= (150 m+180 m)/ 30 m/s
Ct= 330 m / 30 m/s = 11 seconds
A zoo consists of only Tigers and Lions. The number of tigers in a zoo is three times the number of lions. Which one of the following numbers cannot represent the total number of animals in the zoo?
Let the number of lions = x
We know that the number of tigers in a zoo is three times the number of lions. Hence, the number of tigers = 3x.
Then, x + 3x = 4x = total number of animals.
Thus the total number of animals is a number that must be divisible by 4.
Here, 42 is the only number which is not divisible by 4.
Present ages of Sameer and Anand are in the ratio of 5:4 respectively. Three years hence, the ratio to their ages will become 11:9 respectively. What is Anand's present age in years ?
Let the present ages of Sameer and Anand be 5x years and 4x years respectively.
Then (5x +3)/(4x+3)= 11/9
By solving the equation, we get x=6.
Therefore, Anand's present age= 4x= 24.
A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
Number of liters of water in150 liters of the mixture = 20% of 150 = 20/100 * 150 = 30 liters. P liters of water added to the mixture to make water 25% of the new mixture.
Total amount of water becomes (30 + P) and total volume of mixture is (150 + P).
(30 + P) = 25/100 * (150 + P)
120 + 4P = 150 + P
⇒ P = 10 liters.
In what ratio should two varieties of sugar of Rs.18 per kg and Rs.24 kg be mixed together to get a mixture whose cost is Rs.20 per kg?
By mistake, instead of dividing Rs. 117 among A, B and C in the ratio 1/2,1/3,1/4 it was divided in the ratio of 2:3:4. Who gains the most and by how much?
Original ratio of A, B, and C = 1/2 : 1/3 : 1/4 = 6: 4: 3 Share of A = 6/13 * 117 = Rs. 54 Share of B = 4/13 * 117 = Rs. 36 Share of C = 3/13 * 117 = Rs. 27
The ratio of A, B, and C by mistake = 2 : 3 : 4 Share of A = 2/9 *117 = Rs.26 Share of B = 3/9 *117 = Rs.39 Share of C = 13 * 4 = Rs.52
Therefore, it is clear from the above calculation that C gains maximum i.e. 52  27 = Rs. 25
The wages of Santhosh and Revathi are in the ratio ratio 6:5. If the wages of each is increased by Rs.6000, the new ratio becomes 38:35. What is Revathi' s present salary?
Let the original salary of Santhosh and Revathi be 6x and 5x respectively Then, (6x+6000) / (5x+6000) = 38/35 35(6x+6000) = 38(5x +6000)
210x +210000 = 190x + 228000 210x  190x = 228000  210000 20x= 18000 X = 900
Revathi's present salary = 5x = 5*900 = Rs. 4500
The cost price of 2 shirts and 3 jeans is Rs. 2200 and the cost price of 2 jeans and 4 shirts is Rs. 2400. Find the ratio between the cost price of the jeans and the shirt.
Let the cost price of one shirt be x and cost price of one jean be y.
2x + 3y = 2200 ...(i)
2y + 4x = 2400 or 2x + y = 1200 ...(ii)
By solving the equation (i) and (ii),
x = Rs.350; y = Rs. 500
Therefore the required ratio = 500 : 350 = 10 : 7
wo numbers are in the ratio 7:9. If 12 is subtracted from each of them, the ratio becomes 3:5. The product of the numbers is.
Given, ratio of two numbers = 7: 9 Let two numbers be 7x and 9x
If 12 is subtracted from each number, then new numbers are (7x 12) and (9x  12)
It is given that (7x12)/(9x12) = 3/5
⇒ 5(7x  12) = 3(9x  12)
⇒ 35x  60 = 27x  36
⇒ 8x = 24 or x = 3
Product of the numbers = 7x * 9x = 7(3) * 9(3)
= 21 * 27 = 567
If the length and breadth of a rectangle decrease by 10% each, then by what percent does the area decrease?
Let the length and breadth of the rectangle be x and y units respectively
Original area= xy units^{2}
New area= (0.9x) x (0.9y) =0.81xy units^{2}
Percentage decrease in area= (0 .81xy xy/xy) x 100= 19% (Negative sign indicates decrease in area)
A shopkeeper sells an article at 12.5% loss. If he sells it for Rs. 92.50 more, then he gains 6%. What is the cost price of the article ?
Selling Price (S.P.) = Rs100  Rs12.5 = Rs. 87.5
S.P. after 6% gain = Rs106 Difference = Rs.18.5
Therefore, Cost Price (C.P.) = (92.5/18.5) x 100 = Rs.500
A milkman sells milk at the rate of Rs 50 per liter. The milk sold contains 25% water. Assuming that the cost of the milk is Rs. 40 per liter, what is the profit per liter made by the milkman?
Milk contains 25% water and 75% milk.
Therefore, 1 liter milk contains only 750 ml of milk.
Cost of 750 ml milk = 40 * (750/1000) = 40 * 3/4 = Rs. 30
Since, 750 ml of milk is diluted to one liter and sold at the rate of Rs. 50 per liter.
Selling price of 1 Liter milk = Rs. 50.
Profit per liter = Rs. 50  Rs. 30 = Rs. 20.
Ramesh sold an article for Rs. 6,750 after giving a discount of 10% on the labeled price. He would have earned a profit of 50%, had there been no discount. What was the actual percentage of profit earned?
Let the marked price of the article be Rs. x Discount = 10%
Then, the selling price =  10% of = (9x/10)
Now,= (9x/10)= 6750 Or x = Rs. 7,500
As per the question, if the selling price is Rs. 7,500,
then the profit earned by the Ramesh is 50%.
So, the cost price = Rs. 5,000
Therefore, the actual percentage of profit earned by selling the article for Rs. 6,750 = (Profit/CP) x 100 =(1750/5000)x 100 = 35%
Ramya and Sheela are partners in a business, Ramya invests Rs, 35,000 for 8 months and Sheela invests Rs. 42,000 for 10 months. Out of a profit of Rs. 31,570, What is Ramya's share ?
Since, Ramya invested for 8 months and Sheela invested for 10 months, Ratio of their shares = (35000 * 8 ) : (42000 * 10) = 2 : 3.
Ramya's share Rs. 31570 * (2 / 5) = Rs. 12628.
A number is decreased by 10% and then increased by 10%. The number so obtained is 10 less than the original number. What was the original number ?
Let the original number be x.
If number is decreased by 10% and then increased by 10%, then Final number obtained = 110% of (90% of x)
= (110/100 * 90/100 * x)
= (99/100)x.
By the given data, number so obtained is 10 less than the original number,
Therefore x (99/100)x=10 or x =1000
By selling a pen at a profit of 60% a man got Rs 38 more than one third of its cost price. What is the cost price of pen?
Let the cost price = x
Therefore selling price with 60% profit = 160/100 x =8/5 x
It is given that selling price is 38 more than onethird of cost price
(8/5) * x = x/3 + 38 (8/5  1/3) * x = 38 ((24  5)/15) * x = 38 x = 38 * 15/19 x = 30
Therefore, cost price = Rs 30
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