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Tricky Questions Percentage

Percentage - Aptitude

16.If 50% of (x - y) = 30% of (x + y), then what percent of x is y?

x

Option: A

Explanation

50% of (x - y) = 30% of (x + y)

convert percentage into fractions

(50/100) * (x - y) = (30/100) * (x + y)

5(x - y) = 3(x + y)

5x - 5y = 3x + 3y

2x = 8y

x = 4y

((y/x) * 100)%, substitute the value of x in here

((y/4y) * 100)% = ((1/4) * 100)% = 25%

Ans = 25%

✉ Answer

17.Mr.Paul gave 40% of the money he had, to his wife. He also gave 20% of the remaining amount to each of his three sons. Half of the amount now left was spent on miscellaneous items and the remaining amount of Rs.12,000 was deposited in the bank. How much money did Mr.Paul have initially?

x

Option: A

Explanation

Consider the initial amount with Mr.Paul be Rs.x

Mr.Paul gave 40% of the money he had, to his wife.

i.e) remaining (100 - 40)% of x

He also gave 20% of the remaining amount to each of his three sons

i.e) remaining (100 - (3 * 20))% of x

Half of the amount now left was spent on miscellaneous items and the remaining amount of Rs.12,000

i.e) 1/2[(100 - 60)% of x (100 - 40)% of x] = Rs.12000

Convert percentage into fractions

(1/2) * (40/100) * (60/100) * x = 12000

x = (12000 * 2 * 100 * 100)/(60 * 40) = 100000

Ans = Rs.100000

✉ Answer

18.10% of the inhabitants of a village having died of cholera, a panic set in, during which 25% of the remaining inhabitants left the village. The population is then reduced to 4050. Find the number of original inhabitants.

x

Option: C

Explanation

consider the total number of inhabitants be x

10% of the inhabitants of a village having died of cholera

25% of the remaining inhabitants left the village

i.e) (100 - 25)% of (100 - 10)% of x = 4050

convert percentage into fractions

(75/100) * (90/100) * x = 4050

x = (4050 * 100 * 100)/(75 * 90) = 6000

Ans = 6000 inhabitants

✉ Answer

19.A salesman's commission is 5% on all sales upto Rs.10,000 and 4% on all sales exceeding this. He remits Rs.31,100 to his parent company after deducting his commission. Find the total sales.