Percentages Quiz Set 003

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Question 1

One number is 120 more than the other, and it is 65% of the sum of them. What is the number?

 A

260.

 B

360.

 C

160.

 D

460.

Soln.
Ans: a

Let the numbers be x and x - 120. We have been given x = $65/100$ × (x + x - 120), which gives 100x = 65 × (2x - 120), solving, we get x = 260.


Question 2

A number is first increased by 40%, and thereafter it is reduced by 40% again. What is the overall reduction?

 A

16 %.

 B

18 %.

 C

14 %.

 D

20 %.

Soln.
Ans: a

Let us derive the shortcut formula first, so that you can remember it and use it when the need arises. Suppose the number is 100, and let the increase be x%. The number becomes 100 + x. When it is reduced by x%, we get 100 + x - $((100 + x) × x)/100$ = 100 + x - $(x + x^2/100)$ = 100 - $x^2/100$, hence a reduction of $x^2/100$ = 16%


Question 3

A shopkeeper sells 75% items of his stock and still has 200 items left with him. How many items did he have at the beginning?

 A

800 items.

 B

900 items.

 C

700 items.

 D

1000 items.

Soln.
Ans: a

Let the items be x. His % stock left is 100 - 75 = 25, so 25% of x = 200, which gives x = $200/25$ × 100 = 800 items.


Question 4

The service tax is 5%. A person receives a telephone bill amounting to Rs. 525. How much was the bill excluding tax?

 A

Rs. 500.

 B

Rs. 510.

 C

Rs. 490.

 D

Rs. 520.

Soln.
Ans: a

Let the calls be for Rs. x. The total bill is x + 5% of x = ${21x}/20 = 525$, which gives x = Rs. 500.


Question 5

The sum of two numbers is 1712. One of them is 114% of the other. The smaller number is?

 A

800.

 B

810.

 C

790.

 D

820.

Soln.
Ans: a

Let the numbers be x and ${114x}/100$. The sum is x + ${114x}/100$ which is same as ${214x}/100 = 1712$. Solving we get the smaller number x = 800.


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This Blog Post/Article "Percentages Quiz Set 003" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-10-26.

Posted by Parveen(Hoven),
Aptitude Trainer


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