# Ratios and Proportions – Quiz 1

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# Ratios and Proportions – Quiz 1

### Introduction

Ratios and Proportions is one of important topic in Quantitative Aptitude Section. In Ratios and Proportions – Quiz 1 article candidates can find questions with answers. By solving this question candidates can improve and maintain, speed, and accuracy in the exams. Ratios and Proportions - Quiz 1 questions are very useful for different exams such as IBPS PO, Clerk, SSC CGL, SBI PO, NIACL Assistant, NICL AO, IBPS SO, RRB, Railways, Civil Services etc.

### Q1

A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?
A. Rs. 460 B. Rs. 484 C. Rs. 550 D. Rs. 664

B
$\frac{4}{15} A = \frac{2}{5} B$
$\Rightarrow A = (\frac{2}{5} \times \frac{15}{4}) B$
$\Rightarrow A = \frac{3}{2} B$
$\Rightarrow \frac{A}{B}= \frac{3}{2}$
$\Rightarrow A : B = 3 : 2$
i.e, B's share = Rs. $(1210 \times \frac{2}{5}) = Rs. 484.$

### Q2

A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?
A. Rs. 500 B. Rs. 1500 C. Rs. 2000 D. None of these

C
Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.
Then, 4x - 3x = 1000
$\Rightarrow$ x = 1000.
i.e, B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.

### Q3

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
A. 2 : 5 B. 3 : 5 C. 4 : 5 D. 6 : 7

C
Let the third number be x.
Then, first number = 120% of x = $\frac{120x}{100}$ = $\frac{6x}{5}$
Second number = 150% of x = $\frac{150x}{100}$ = $\frac{3x}{2}$
i.e, Ratio of first two numbers = $\frac{6x}{5} : \frac{3x}{2}$ = 12x : 15x = 4 : 5.

### Q4

Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?
A. Rs. 17,000 B. Rs. 20,000 C. Rs. 25,500 D. Rs. 38,000

D
Let the original salaries of Ravi and Sumit be Rs. 2x and Rs. 3x respectively.
Then, $\frac{2x + 4000}{3x + 4000} = \frac{40}{57}$
$\Rightarrow$ 57(2x + 4000) = 40(3x + 4000)
$\Rightarrow$ 6x = 68,000
$\Rightarrow$ 3x = 34,000
Sumit's present salary = (3x + 4000) = Rs.(34000 + 4000) = Rs. 38,000.

### Q5

If 0.75 : x :: 5 : 8, then x is equal to:
A. 1.12 B. 1.2 C. 1.25 D. 1.30

B
(x x 5) = (0.75 x 8) $\Rightarrow x = \frac{6}{5} = 1.20$