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# Maths Questions for Entrance Exams – Ratio and Proportion with Solutions

Maths Questions for Entrance Exams – Ratio and Proportion with Solutions are created here for the candidates who are going to appear in competitive entrance exams like CPO, Railways, Bank, Defense services, etc. Maths Questions for Entrance Exams – Ratio and Proportion with Solutions will give you an idea about the questions asked in the Competitive Entrance Exams and the ways of solving them. The regular practice of Maths Questions for Competitive Entrance Exams is needed in qualifying competitive entrance exams because it enables you to solve the questions in the time slot. Therefore you are required to study the whole blog post completely for success.

## Maths Questions for Entrance Exams – Ratio and Proportion with Solutions

Ratio between two quanties is given a : b and total quantity is x

Then portion of

First quantity = [a/(a +b)]×x

Second quantity = [b/(a +b)]×x

Percentage of both quantities

% of First quantity = [a/(a +b)]×100

% of Second quantity = [b/(a +b)]×100

If a,b,c and d are in proportion then

a : b = c :d

If a,b,c and d are in inverse proportion then

a/d = c/b

### Maths Questions for Entrance Exams – Ratio and Proportion with Solutions

Q1.Rs 500 is distributed between A and B in the ratio of 2 : 3,find how much money A got.

a.Rs 100      b.Rs 200     c.Rs 400      d.300

Ans. A got the money

= [2/(2+3)]×500

= (2/5) ×500 = Rs 200

Q2.Anupama takes 125 minutes in walking a distance of 100 metre. What distance would she cover in 315 minutes?

a.152 km      b.252 km     c.352 km      d.150 km

Ans.Let the distance covered by Anupama is x in 315 minutes

She takes 125 minutes to cover the distance of 100m

∴125 : 100 = 315 😡

125/100 = 315/x

By the cross-multiplication,we get

125x = 31500

x = 31500/125 =252 km

Q3.A car is travelling at the average speed of 50 km/hr. How much distance would it travel in 12 minutes?

a.15 km      b.25 km     c.12 km      d.10 km

Ans. Let the distance covered by the car is x km in 12 minutes

The car is traveling at the average speed of 50 km/hr

1 hour = 60 minutes

∴ 50 : 60 = x : 12

50/60 = x/12

60x = 600

x = 600/60 = 10 km

Q4.The second class railway fare for 240 km of Journey is Rs 15.00. What would be the fare for a Journey of 139.2 km?

a.Rs 9.7    b.Rs 9.8 c.Rs 8.7      d.Rs 7.8

Ans. Let x rupees would be the fare for a journey of 139.2 km

The second class railway fare for 240 km of Journey is Rs 15.00

240 : 15 = 139.2 😡

240/15 = 139.2/x

240x = 139.2×15

x = 139.2×15/240 = Rs 8.7

Q5.The cost of 97 metre of cloth is Rs 242.50 What length of this can be purchased for Rs 302.50?

a.120 m    b.121 m    c.122 m     d.125 m

Ans. Let x m cloth can be purchased for Rs 302.50

The cost of 97 metre of cloth is Rs 242.50

x : 302.50 = 97 : 242.50

x/302.50 = 97/242.50

242.50 x = 302.50×97

x = 302.50×97/242.50 =29342.5/242.5 = 121 m

Q6.11 men can dig 6 ¾ metre long trench in one day. How many men should be employed for digging 27 metre long trench of the same type in one day?

a.42 men    b.32 men    c.44 men     d.45 men

Ans.Let x men should be employed for digging 27 metre long trench in one day

Given that 11 men can dig 6 ¾ metre long trench in one day

6 ¾ m : 11 = 27 : x

27/4 : 11 = 27 : x

27/44 =27 /x

27x = 27×44

x = 27 ×44/27 = 44 men

Q7.If 36 men can do a piece of work in 25 days, in how many days will 15 men do it?

a.40 days    b.30 days    c.45 days     d.50 days

Ans. Let the no. of days in which 15 men do the work are x days

Given that 36 men can do a piece of work in 25 days

In this case if no. of men increase then no. of days in doing the work decreases therefore men and no.of days are inversely proportional to each other.

∴36 : x= 15 : 25

36/x =15/25

15x = 25×36

x = 25×36/15 =60 days

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## NCERT Solutions of  Science and Maths for Class 9,10,11 and 12

### NCERT Solutions of class 9 maths

 Chapter 1- Number System Chapter 9-Areas of parallelogram and triangles Chapter 2-Polynomial Chapter 10-Circles Chapter 3- Coordinate Geometry Chapter 11-Construction Chapter 4- Linear equations in two variables Chapter 12-Heron’s Formula Chapter 5- Introduction to Euclid’s Geometry Chapter 13-Surface Areas and Volumes Chapter 6-Lines and Angles Chapter 14-Statistics Chapter 7-Triangles Chapter 15-Probability Chapter 8- Quadrilateral

### NCERT Solutions of class 10 maths

CBSE Class 10-Question paper of maths 2021 with solutions

CBSE Class 10-Half yearly question paper of maths 2020 with solutions

CBSE Class 10 -Question paper of maths 2020 with solutions

CBSE Class 10-Question paper of maths 2019 with solutions

### NCERT solutions of class 11 maths

 Chapter 1-Sets Chapter 9-Sequences and Series Chapter 2- Relations and functions Chapter 10- Straight Lines Chapter 3- Trigonometry Chapter 11-Conic Sections Chapter 4-Principle of mathematical induction Chapter 12-Introduction to three Dimensional Geometry Chapter 5-Complex numbers Chapter 13- Limits and Derivatives Chapter 6- Linear Inequalities Chapter 14-Mathematical Reasoning Chapter 7- Permutations and Combinations Chapter 15- Statistics Chapter 8- Binomial Theorem Chapter 16- Probability

CBSE Class 11-Question paper of maths 2015

CBSE Class 11 – Second unit test of maths 2021 with solutions

### NCERT solutions of class 12 maths

 Chapter 1-Relations and Functions Chapter 9-Differential Equations Chapter 2-Inverse Trigonometric Functions Chapter 10-Vector Algebra Chapter 3-Matrices Chapter 11 – Three Dimensional Geometry Chapter 4-Determinants Chapter 12-Linear Programming Chapter 5- Continuity and Differentiability Chapter 13-Probability Chapter 6- Application of Derivation CBSE Class 12- Question paper of maths 2021 with solutions Chapter 7- Integrals Chapter 8-Application of Integrals