# Ratios and Proportions Quiz 10

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# Ratios and Proportions Quiz 10

### Introduction

Ratios and Proportions is one of important topic in Quantitative Aptitude Section. In Ratios and Proportions Quiz 10 article candidates can find questions with an answer. By solving this questions candidates can improve and maintain, speed, and accuracy in the exams. Ratios and Proportions Quiz 10 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

The income of Neha and Hitesh are in the ratio of 4:5 and their expenditure is in the ratio of 2:3. If each of them saves 2000, then find their income.
A. 4000, 6000 B. 4000, 5000 C. 5000, 4000 D. 5000, 6000

B
4x – 2y = 2000 and 5x – 3y = 2000.
X = 1000, so income = 4000 and 5000

### Q2

A bag contains 25p coins, 50p coins and 1 rupee coins whose values are in the ratio of 8:4:2. The total values of coins are 840. Then find the total amount in rupees.
A. 220 B. 240 C. 260 D. 280

D
Value is given in the ratio 8:4:2.
$(\frac {8x}{0.25}) + (\frac {4x}{0.5}) + (\frac{2x}{1})$ = 840
X = 20. Total amount = 14*20 = 280

### Q3

The sum of three numbers is 210. If the ratio between the first and second number be 2:3 and that between the second and third be 4:5, then the difference between the first and third number?
A. 21 B. 35 C. 42 D. 56

C
a: b = 2:3 and b:c = 4:5
a:b:c = 8:12:15
Difference between first and third number = $\frac {7}{35} \times$ 210 = 42

### Q4

The ratio of two numbers is 3:4. If 3 is subtracted from both the numbers, the ratio becomes 1:2. Find the sum of the two numbers?
A. 9 B. 10.5 C. 11.5 D. 12

B
(3x – 3)/(4x – 3) = $\frac {1}{2}$
x = 1.5
sum of the numbers = 7 × 1.5 = 10.5

### Q5

A vessel contains milk and water in the ratio of 4:3. If 14 litres of the mixture is drawn and filled with water, the ratio changes to 3:4. How much milk was there in the vessel initially?
A. 24 B. 32 C. 40 D. 48

B
Milk = 4x and water = 3x
Milk = 4x – 14 × $\frac {4}{7}$ and water = 3x – 14 × $\frac {3}{7}$ + 14
4x – 8: 3x + 8 = 3:4
X = 8, so milk = 8 × 4 = 32 litres

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