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Two yrs back the ratio between the ages of Mahesh and Sunil was 3:2. If Sunil is younger to Mahesh by 8 yrs, what is the present age of Mahesh?
Let the present age of Mahesh and Sunil are x and y yrs.
Then
x  2 /y  2 = 3 /2
⇒ 2x  4 = 3y  6
⇒ 2x = 3y  2 .....(i)
Now y = x  8 .....(ii)
from (i) & (ii)
2x = 3 (x  8)  2
2x = 3x  24  2
x = 26 yrs.
A man buys milk at a certain price per litre and after mixing it with water sells it again at the same price. How many ml of water does he mix in every litre of milk if he makes a profit of 25%?
Let C. P. of the milk be Rs 100 per litre
∴ S. P. after 25% profit = Rs 125 per litre
Now again S. P. of 1 litre milk with water = Rs 100
∵ In Rs 100 he sells = 1 litre
∴ In Rs 125 he will sell = 1 x 125 /100 = 1.25 litre
Then quantity of water = 1.25  1 = 0.25 litre
= 0.25 x 1000 = 250 ml
The area of the quadrant of a circle whose circumference is 22 cm is
If the price of rice is reduced by 20%,one can buy 2 kg more for Rs 100. The reduced price of rice is
If on m% reduction in price of rice, one can buy y kg more rice for Rs. x, then
Reduced price of rice = m /100 X x/ y
= 20 100 x 100 2
= Rs 10 per kg
A boy contains 10paise coins and 25paise coins in the ratio 17 : 6. If the total money in the bag is Rs. 112, then the number of 10paise coins is
17k x 0.10 + 6k x 0.25 = 112
⇒ 1.7k + 1.5k = 112
⇒ 3.2k = 112
⇒ k = 35
∴ No of 10paise coins = 17 x 35 = 595
It is required to make from metal sheet a closed cylindrical tank whose depth is 1 m and radius of whose base is 70 cm. The area of the sheet required in square meters of metal sheet is
h = 1m = 100 cm
r = 70 cm
∴ Total surface area of the close cylindrical tank = 2πr (h + r)
= 2 x 22 7x 70(100 + 70)
= 74800 cm^{2} = 74800 100 x 100 m^{2}
= 7.48 m^{2}
In the following questions two equations numbered I and II are given. You have to solve both the equations and
In the following questions two equations numbered I and II are given. You have to solve both the equations and
In which year was the trade deficit highest?
Trade deficit = (Import  Export) is highest in the year 198889 = (19  12) = 7 billion dollars
In how many years was the trade deficit less than the trade deficit in the succeeding year?
From the graph, it is clear that trade deficit is less than that in the succeeding years in 198788, 198990, 199192, and 199394 i.e., four years
The operating profit in 199192 increased over that in 199091 by :
Required percentage increase in operating profit = 160  130/ 130 x 100 = 23%
The interest burden in 199192 was higher than that in 199091 by :
Interest in 199091 = 30% of 130 = Rs 39 lakh
Interest in 199192 = 40% of 160 = Rs 64 lakh
∴ Difference = (64  39) = Rs 25 lakh
The following table gives the frequency distribution of the final grades of 100 students in Mathematics and Physics. Analyse the data presented to answer the following questions.
How many students received grades 80 and above in Mathematics?
The following table gives the frequency distribution of the final grades of 100 students in Mathematics and Physics. Analyse the data presented to answer the following questions.
How many students would qualify for admission to a prime Engineering College that stipulates above 80% in Mathematics and Physics?
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