Question for Practice Questions Level 1: Percentage - 2
Try yourself:Ramakant spends 50% of his income on clothes and 40% on food. The amount spent on food is Rs. 38,400. What is the total discounted amount on clothes if he gets 40% discount on market price?
Explanation
Ramakant spends 40% of the total income (let's say 'x') on food.
40% of x = Rs. 38,400
x = Rs. 96,000
He spends 50% on clothes.
Amount spent on clothes = 96,000/2 = Rs. 48,000
48,000 is the 60% of the marked price of clothes.
So, market price of clothes
That is, Ramakant gets a discount of Rs. (40% of 80,000) on clothes.
Total discounted money = Rs. 32,000
Question for Practice Questions Level 1: Percentage - 2
Try yourself:In an examination, A attempted 80% of questions with 50% accuracy and B attempted 60% of questions with 80% accuracy. A wrong answer attracts negative marking of 25%. There are no negative marks for unattempted questions. What is the difference between marks obtained by A and B?
Explanation
Since we don`t know the maximum marks, we cannot find the answer.
Question for Practice Questions Level 1: Percentage - 2
Try yourself:The ratio of males to females in a village is 3 : 2. 20% of the males and 25% of the females are graduates. What percentage of the total population of the village is not graduate?
Question for Practice Questions Level 1: Percentage - 2
Try yourself:The value of a machine depreciates at a rate of 16% per annum. If the price of a new machine is Rs. 62,500, then its value after 3 years will be
Explanation
Value of machine after 3 years
Question for Practice Questions Level 1: Percentage - 2
Try yourself:The salary of a person is Rs. 15,000. But in the next month, he gets a bonus of Rs. 1000. He decides to save the bonus and in the process saves 10% more than the amount he saved the previous month. If there is no change in his expenses from the previous month, what are his monthly expenses?
Explanation
The bonus amount of Rs. 1000 increases his savings by 10%.
Since 1000 is 10% of 10,000, the previous month's savings were Rs. 10,000.
Now, as his previous month savings were Rs. 10,000,
Expenses = 15,000 – 10,000 = Rs. 5000
Question for Practice Questions Level 1: Percentage - 2
Try yourself:If a student scores 30% marks in a paper, he fails by 6 marks; but if he scores 40% marks, he passes by 2 marks. What are the passing marks?
Explanation
The given information is shown on two different scales as given below:
Difference of percentages of total marks = (6 + 2)
10% (40 - 30) of maximum marks = 8
Maximum marks = 80
Passing marks = 30% of 80 + 6 or 40% of 80 - 2 = 30
Question for Practice Questions Level 1: Percentage - 2
Try yourself:In every box of 120 bulbs, 5% are defective. If a company needs 2,000 non-defective bulbs, what is the minimum number of boxes that it has to purchase?
Explanation
Each box contains 114 non-defective bulbs.
∴ 2000/114 = 17.54
So, the company has to purchase a minimum of 18 boxes to meet its requirement of bulbs.
Question for Practice Questions Level 1: Percentage - 2
Try yourself:Mr. Miranda saves 40% of his salary every month. But in April, his expenses increase by 10% of his original expenses and he saves $120 less than the amount he saves normally. What is his salary?
Explanation
Let 'x' be the salary and 0.6x be the expenses.
In April, the expenses increase by 10% and become 0.66x.
So, the savings decrease by 0.06x, and it is equal to 120.
Therefore, 0.06x = 120
⇒ x = $2000
Question for Practice Questions Level 1: Percentage - 2
Try yourself:Instead of finding 28% of a number, Saloni incorrectly found 82% of the number. She got an answer, which is 540 more than the actual answer. What is the actual answer?
Explanation
Let the number be k.
Original answer should be 0.28k.
Her answer is 0.82k.
Difference = 0.54k
It is given as 540.
k = 1000
Actual answer = 0.28k = 280
Question for Practice Questions Level 1: Percentage - 2
Try yourself:A man loses 12.5% of his money, and after spending 70% of the remainder, he is left with Rs. 210. He initially had
Explanation
Let the total money be Rs. x.
Money lost
Thus, total money = Rs. 800
Question for Practice Questions Level 1: Percentage - 2
Try yourself:A reduction of 20% in the price of candies enables a child to buy 5 candies more for $10. What is the reduced price per candy now and what was the price earlier?
Explanation
Let the original price of a candy be p dollars.
Let the number of candies originally be bought be n.
np = 10 ... (i)
New price of a candy = 0.80p
0.80p(n + 5) = 10
Or 0.80pn + 4p = 10 ... (ii)
Putting the value of pn from (i) into (ii), we get 8 + 4p = 10
Or p = 0.5
0.80p = 0.80 × 0.50 = 0.40
Thus, the original price was 50 cents, and the new price is 40 cents.
Thus, answer option 2 is correct.
Question for Practice Questions Level 1: Percentage - 2
Try yourself:If we express 12(4/15)% as a fraction, then it is equal to
Explanation
12(4/15)% = 184/15%. As a fraction, the value = 184/(15 x 100) = 46/375
Question for Practice Questions Level 1: Percentage - 2
Try yourself:Which of the following is the largest number?
Explanation
It can be clearly seen that 40% of 400 = 160 is the highest number.
Question for Practice Questions Level 1: Percentage - 2
Try yourself:If 25% of x = 30% of y, then find the value of x if y = 5000.
Explanation
25% of x = 30% of 5000 or 0.25x = 1500 = 6000
Question for Practice Questions Level 1: Percentage - 2
Try yourself:20% of a number when subtracted from 108, gives the number itself. Find the number.
Explanation
Check the options. If you check with Option d = 90, you get → 108 – 20% of 90 = 108 – 18 = 90. This matches the given requirement and hence Option (d) is the correct answer.
Question for Practice Questions Level 1: Percentage - 2
Try yourself:Mr. Ram is worried about the balance of his monthly budget. The price of petrol has increased by 50%. By what percent should he reduce the consumption of petrol so that he is able to balance his budget?
Explanation
The following PCG will give the answer:
Hence, the percentage reduction required is 33.33% (50/150).
Question for Practice Questions Level 1: Percentage - 2
Try yourself:Ashok sells his goods 50% dearer than Shankar and 20% dearer than Bishnu. How much percentage is Bishnu’s goods dearer than Shankar’s?
Question for Practice Questions Level 1: Percentage - 2
Try yourself:In a physical measurement, by mistake Shyam gave his height as 25% more than normal. In the interview panel, he clarified that his height was 5 feet 5 inches. Find the percentage correction made by the candidate from his stated height to his actual height.
Explanation
If Shyam has inadvertently increased his height by 25% the correction he would need to make to go back to his original height would be to reduce the stated height by 20%.
Question for Practice Questions Level 1: Percentage - 2
Try yourself:A number is mistakenly divided by 2 instead of being multiplied by 2. Find the percentage change in the result due to this mistake.
Explanation
Let the number be 100. Then, 200 should be the correct outcome. But instead the value got is 50. Change in value = 200 – 50 = 150. The percentage change in the value = 150 ¥ 100/200 = 75%. Alternately, you could think of this as the number being ‘x’ and the required result being 2x and the derived result being 0.5x. Hence, the percentage change in the result is 1.5x ¥ 100/2x. Clearly, the value would be 75%. (Note: In this case, the percentage change in the answer does not depend on the value of ‘x’).
Question for Practice Questions Level 1: Percentage - 2
Try yourself:In a mixture of 100 litres of milk and water, 25% of the mixture is milk. How much water should be added to the mixture so that milk becomes 20% of the mixture?
Explanation
From the first statement we get that out of 100 litres of the mixture, 25 litres must be milk. Since, we are adding water to this and keeping the milk constant, it is quite evident that 25 litres of milk should correspond to 20% of the total mixture. Thus, the amount in the total mixture must be 125, which means we need to add 25 litres of water to make 100 litres of the mixture.