# Ratio and Proportion Aptitude Test Paper 1

1) A: B: C is in the ratio of 3: 2: 5. How much money will C get out of Rs 1260?

1. 252
2. 125
3. 503
4. None of these

Explanation:

C's share = [C's ratio/ sum of ratios] * total amount
C's share = (5/10) * 1260
C's share = 630

2) If a: b is 3: 4 and b: c is 2: 5. Find a: b: c.

1. 3: 2: 5
2. 3: 6: 5
3. 3: 4:10
4. 2: 3: 4

Explanation:

The ratio of a: b is 3: 4
The ratio of b: c is 2: 5

Note: To find the ratio in such questions, multiply a to b, then b to b, and then b to c.

a: b: c = 3*2: 4*2: 4*5
a: b: c = 6: 8: 20
So, a: b: c = 3: 4: 10

3) A: B is 1: 2; B: C is 3: 2 and C: D is 1:3. Find A: B: C: D.

1. 3: 6: 4: 12
2. 2: 3: 5: 7
3. 3: 5: 7: 6
4. 2: 1: 6: 13

Explanation:

ATQ,
A: B = 1: 2........... (i)
B: C = 3: 2...........(ii)
C: D = 1: 3.......... (iii)
Now,
Find A: B: C: D
Step 1, A: B: C: D
1: 2 (A: B value by equation i)

Note: To understand the shortcut, remember you need to make the right-hand side missing numbers the same as that of last given number, and for the left-hand side the same is done.

i.e., C: D will contain 2: 2 because 2 is the last number on the right side.

Or, A: B: C: D
1: 2: 2: 2
3: 3: 2: 2 (B: C value by equation ii)
1: 1: 1: 3 (C: D value by equation iii)

Now, multiply vertically and get A: B: C: D.

So, A: B: C: D = (1*3*1): (2*3*1): (2*2*1): (2*2*3)
Or, A: B: C: D = 3: 6: 4: 12

4) 5600 is to be divided into A, B, C, and D in such a way that the ratio of share of A: B is 1: 2, B: C is 3: 1, and C: D is 2: 3. Find the sum of (A and C) and (B and C).

1. Rs 2400, Rs 3000
2. Rs 2000, Rs 3000
3. Rs 2400, Rs 3200
4. Rs 2000, Rs 3200

Explanation:

ATQ,
A: B = 1: 2........... (i)
B: C = 3: 1........... (ii)
C: D = 2: 3...........(iii)
Now,
Find A: B: C: D
Step 1: A: B: C: D
1: 2 (A: B value by equation i)

Note: To understand the shortcut, remember you need to make the right-hand side missing numbers the same as that of last given number, and for the right-hand side the same is done.

i.e., C: D will contain 2: 2 because 2 is the last number on the right side.

Or, A: B: C: D
1: 2: 2: 2
3: 3: 1: 1 (B: C value by equation ii)
2: 2: 2: 3 (C: D value by equation iii)

Now, multiply vertically and to get A: B: C: D.

So, A: B: C: D = (1*3*2): (2*3*2): (2*1*2): (2*1*3)
= 6: 12: 4: 6
= 3: 6: 2: 3

Now, the share of A and C = [(A+C)/ (A+B+C+D)] * total amount
Or, the share of A and C = [(3+2)/ (3+6+2+3)] * 5600
Or the share of A and C = (5/14)*5600 = 2000
Similarly, the share of B and C = (8/14)*5600 = 3200

Solution 2:

Find A: B: C: D
1: 2: 2: 2
3: 3: 1: 1
2: 2: 2: 3

Now, multiply vertically and get A: B: C: D.

So, A: B: C: D = (1*3*2): (2*3*2): (2*1*2): (2*1*3)
Or, A: B: C: D = 6: 12: 4: 6
Or, A: B: C: D = 3: 6: 2: 3

Sum of the ratios = 3+6+2+3 = 14, but ATQ, it is 5600 Rs.
i.e., 14 * 400 = 5600
So, multiply each and every ratio by 400 and get the share of each:
3*400: 6*400: 2*400: 3*400
So, the share of A = 1200
The share of B = 2400
The share of C = 800
The share of D = 1200

Now, the share of (A+C) = 1200+800 = 2000
The share of (B+C) = 2400+ 800 = 3200

5) The ratio of the total amount distributed in all the males and females as salary is 6: 5. The ratio of the salary of each male and female is 2: 3. Find the ratio of the no. of males and females.

1. 5:9
2. 5:7
3. 7:5
4. 9:5

Explanation:

The total salary of males: the total salary of females = 6:5
The salary of each male: salary of each female = 2:3

To find the number of men and women, divide the total salary of males and females by salary of each male and female.
i.e., 6/2: 5/3
Or, 18: 10 = 9: 5
So, the ratio of the number of males and females = 9:5

Ratio and Proportion Aptitude Test Paper 2
Ratio and Proportion Aptitude Test Paper 3
Ratio and Proportion Aptitude Test Paper 4
Ratio and Proportion Concepts

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