# Percentages Quiz Set 014

### Question 1

A bag contains 780 red, 2160 green and 3060 blue marbles. What percentage of the total is the most visible color in the bag?

A

51 %.

B

61 %.

C

41 %.

D

71 %.

Soln.
Ans: a

By inspection, blue is the most visible color. The percentage of blue is \$3060/{780 + 2160 + 3060}\$ × 100 = 51%.

### Question 2

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}\$%

### Question 3

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?

A

\${6/43}\$.

B

\$1{1/6}\$.

C

\$2{2/45}\$.

D

3.

Soln.
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}\$.

### Question 4

Mr. X who spends 85% of his salary is able to save Rs. 255. What is his salary?

A

Rs. 1700.

B

Rs. 1800.

C

Rs. 1600.

D

Rs. 1900.

Soln.
Ans: a

Let the salary be x. His saving% is 100 - 85 = 15, so 15% of x = 255, which gives x = \$255/15\$ × 100 = Rs. 1700.

### Question 5

A shopkeeper sells 83% items of his stock and still has 34 items left with him. How many items did he have at the beginning?

A

200 items.

B

300 items.

C

500 items.

D

400 items.

Soln.
Ans: a

Let the items be x. His % stock left is 100 - 83 = 17, so 17% of x = 34, which gives x = \$34/17\$ × 100 = 200 items.