Percentage
- A man gives 50% of his money to his son and 30% to his daughter. 80% of the rest is donated to a trust. If he is left with Rs. 16,000 now, how much money did he have in the beginning?
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Amount with man in the beginning = Rs. x (let).
Amount given to son and daughter = 80%.
Remaining amount= 20% of x = Rs. x 5
Remaining amount after donations to trust= x × 20 = Rs. x 5 100 25 ∴ x = 16000 25
⇒ x = 16000 × 25 = Rs. 400000Correct Option: D
Amount with man in the beginning = Rs. x (let).
Amount given to son and daughter = 80%.
Remaining amount= 20% of x = Rs. x 5
Remaining amount after donations to trust= x × 20 = Rs. x 5 100 25 ∴ x = 16000 25
⇒ x = 16000 × 25 = Rs. 400000
- A businessman’s earning increases by 25% in one year but decreases by 4% in the next year. Going by this pattern, after 5 years, his total earnings would be Rs.72000. What is his present earning ?
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Let the business man’s present earning be Rs. x.
According to the question,x × 125 × 96 × 125 × 96 × 125 = 72000 100 100 100 100 100 ⇒ x × 5 × 24 × 5 × 24 × 5 = 72000 4 25 4 25 4 ⇒ x × 9 = 72000 5 ⇒ x = 72000 × 5 = Rs. 40000 9 Correct Option: C
Let the business man’s present earning be Rs. x.
According to the question,x × 125 × 96 × 125 × 96 × 125 = 72000 100 100 100 100 100 ⇒ x × 5 × 24 × 5 × 24 × 5 = 72000 4 25 4 25 4 ⇒ x × 9 = 72000 5 ⇒ x = 72000 × 5 = Rs. 40000 9
- The red blood cells in a blood sample grows by 10% per hour in first two hours, decreases by 10% in next one hour, remains constant in next one hour and again increases by 5% per hour in next two hours. If the original
count of the red blood cells in the sample is 40000, find the approximate red blood cell count at the end of 6 hours.
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Number of blood cells in first 6 hours
= 40000 
1 + 10 
2 1 - 10 1 + 5 2 9 9 9 = 40000 × 11 × 1 × 9 × 21 × 21 = 480249 ≈ 48025 10 10 10 20 20 Correct Option: C
Number of blood cells in first 6 hours
= 40000 1 + 10 2 1 - 10 1 + 5 2 9 9 9 = 40000 × 11 × 1 × 9 × 21 × 21 = 480249 ≈ 48025 10 10 10 20 20
- A factory’s yearly budget for the purchase of employees’ protection shoes increased by 60% this year over last year. If the price of the shoes increased by 20% this year, then the number of shoes it can purchase this year is what percent greater than the number of shoes it purchased last year ?
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Let 100 pairs of shoes be bought for Rs. 100.
New budget = Rs. 160
New price = Rs. 1.20 pair of shoes
∴ Number of shoes bough= 160 = 1600 1.2 12 = 400 = 133 1 3 3
∴ Percentage increase= 33 1 3 Correct Option: B
Let 100 pairs of shoes be bought for Rs. 100.
New budget = Rs. 160
New price = Rs. 1.20 pair of shoes
∴ Number of shoes bough= 160 = 1600 1.2 12 = 400 = 133 1 3 3
∴ Percentage increase= 33 1 3
- A Set A consists of integers 27, 28, 30, 32, and 33. If integer k is included in the average of set A will increase by 30%. What is the value of integer K ?
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Average of set A
= 27 + 28 + 30 + 32 + 33 5 = 150 = 30 5
Case II,New average = 30 × 130 = 39 100
∴ 150 + k = 39 × 6 = 234
⇒ k = 234 – 150 = 84Correct Option: C
Average of set A
= 27 + 28 + 30 + 32 + 33 5 = 150 = 30 5
Case II,New average = 30 × 130 = 39 100
∴ 150 + k = 39 × 6 = 234
⇒ k = 234 – 150 = 84
