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Question 1
A clerk multiplied a number by 5/1 instead of 1/5. What is the percentage of error?
Question 2
The number of online customers increased from 1850 to 3975. What is the percentage increase?
Question 3
If 11% of A + B = 18% of A - B, then what percent of B is A?
$4{1/7}$ %.
6 %.
$2{4/9}$ %.
$5{5/9}$ %.
Ans: a
We have been given 11% of A + B = 18% of A - B, so ${A + B}/{A - B}$ = $18/11$. By componendo and dividendo, ${(A + B) + (A - B)}/{(A + B) - (A - B)}$ = ${18 + 11}/{18 - 11}$, which gives $A/B$ = $29/7$ = ${29/7}$, which is same as: $4{1/7}$%
Question 4
Price of sugar is increased by 20%. By what percentage should consumption be reduced so that the expenditure remains same?
$16{2/3}$ %.
$26{1/2}$ %.
$15{2/3}$ %.
$11{4/5}$ %.
Ans: a
Let price be Rs. 100/kg and the consumption be 1 kg. The current expenditure is 100 × 1 = Rs. 100. The new price of sugar is 100 + 20 = Rs. 120/kg. Let the new consumption be c kg. Now, if expenditure is to be same we should have 100 = 120 × c, which gives c = 100/120, so the decrease is 1 - $100/120$ = ${120 - 100}/120$ × 100% = ${50/3}$, which is same as: $16{2/3}$%.
Question 5
If 17% of X + 8% of Y equals 2/3 of the sum of 4% of X and 15% of Y, then the ratio of X to Y is?
${6/43}$.
$1{1/6}$.
$2{2/45}$.
3.
Ans: a
We can drop the % from both sides and write the given equation as 17X + 8Y = $2/3$ × (4X + 15Y), which is same as 3 × (17X + 8Y) = 2 × (4X + 15Y). Let r = X/Y. Dividing both sides by Y and putting r = X/Y, we get, 3 × (17r + 8) = 2 × (4r + 15), solving for r we get r = ${6/43}$.
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This Blog Post/Article "Percentages Quiz Set 017" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2020-02-07. Published on: 2016-05-12