Percentages Quiz Set 019 | Maths Aptitude Quiz Questions and Mock Test on Percentages Set 19 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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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?

1600 items.

1700 items.

1500 items.

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.

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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?

1500 items.

1510 items.

1490 items.

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.

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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?

45 %.

55 %.

35 %.

65 %.

Soln.
Ans: a

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

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Question 4

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

$68{8/19}$ %.

$73{5/18}$ %.

61 %.

$64{13/21}$ %.

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: $68{8/19}$%.

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Question 5

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

$2{3/5}$ %.

$4{1/2}$ %.

$1{1/7}$ %.

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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