Percentages Quiz Set 019

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Question 1

A shopkeeper sells 59% items of his stock and still has 656 items left with him. How many items did he have at the beginning?

 A

1600 items.

 B

1700 items.

 C

1500 items.

 D

1800 items.

Soln.
Ans: a

Let the items be x. His % stock left is 100 - 59 = 41, so 41% of x = 656, which gives x = $656/41$ × 100 = 1600 items.


Question 2

In a sample there are 450 items having a value of 50°C. 50% values are below 50°C, and the number of values above 50°C is $2/3$ of the items having a value of 50°C. What is the size of the sample?

 A

1500 items.

 B

1510 items.

 C

1490 items.

 D

1520 items.

Soln.
Ans: a

The %age ≥ 50°C = (100 - 50) = 50. If x is the size of the sample, 50% of x = 450 + $2/3 × 450$ = ${5 × 450}/3$, which is same as ${50 × x}/100$ = ${5 × 450}/3$. Solving, we get x = 1500.


Question 3

A bag contains 630 red, 1020 green and 1350 blue marbles. What percentage of the total is the most visible color in the bag?

 A

45 %.

 B

55 %.

 C

35 %.

 D

65 %.

Soln.
Ans: a

By inspection, blue is the most visible color. The percentage of blue is $1350/{630 + 1020 + 1350}$ × 100 = 45%.


Question 4

Two numbers are, respectively, 5% and 35% less than a third number. What percent is the second of the first?

 A

$68{8/19}$ %.

 B

$73{5/18}$ %.

 C

61 %.

 D

$64{13/21}$ %.

Soln.
Ans: a

If the third number is 100, first number is (100 - 5) = 95, and the second number is (100 - 35) = 65. The required ratio is $65/95$ × 100 = ${1300/19}$, which is same as: $68{8/19}$%.


Question 5

If 4% of A + B = 9% of A - B, then what percent of B is A?

 A

$2{3/5}$ %.

 B

$4{1/2}$ %.

 C

$1{1/7}$ %.

 D

4 %.

Soln.
Ans: a

We have been given 4% of A + B = 9% of A - B, so ${A + B}/{A - B}$ = $9/4$. By componendo and dividendo, ${(A + B) + (A - B)}/{(A + B) - (A - B)}$ = ${9 + 4}/{9 - 4}$, which gives $A/B$ = $13/5$ = ${13/5}$, which is same as: $2{3/5}$%


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Creative Commons License
This Blog Post/Article "Percentages Quiz Set 019" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.

Posted by Parveen(Hoven),
Aptitude Trainer


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