Hello Aspirants. Welcome to Online Quantitative Aptitude section in AffairsCloud.com. Here we are creating question sample in **Ratio & Proportion** , which is common for all the competitive exams. We have included Some questions that are repeatedly asked in exams !!

Questions Penned by Yogit

**In a school the number of boys and girls are in the ratio of 4:7. If the number of boys are increased by 25% and the number of girls are increased by 15%. What will be the new ratio of number of boys to that of girls?**

a) 100:131

b) 100:151

c) 100:161

d) 100:181

e) None of these

Answer –**c) 100:161**

**Explanation :**

Boys = 4x and girls = 7x

Ratio = 4x*125/100 : 7x*115/100 = 100:161

**When 40% percent of a number is added to another number the second number increases to its 20%. What is the ratio between the first and second number?**

a) 2:1

b) 1:2

c) 2:3

d) 3:4

e) None of these

Answer –**b) 1:2**

**Explanation :**

(40/100)*a + b = (120/100)*b

a:b = 1:2

**An amount of money is to be distributed among P, Q and R in the ratio of 5:4:7 respectively. If the total share of P and R is 3 times the share of Q, what is definitely Q’s share?**

a) 2000

b) 4000

c) 6000

d) data inadequate

e) None of these

Answer –**d) data inadequate**

**Explanation :**

Total sum not given

**Two candles of same height are lighted at the same time. The first is consumed in 6 hours and second in 4 hours. Assuming that each candles burns at a constant rate, in how many hours after being lighted, the ratio between the first and second candles becomes 2:1?**

a) 1 hour

b) 2 hour

c) 3 hour

d) 4 hour

e) None of these

Answer –**c) 3 hour**

**Explanation :**

Let height of both candles is ‘h’ and let after t times ratio between the height be 2:1

h – t*h/6 : h – t*h/4 = 2:1

t = 3

**An employer reduces the number of his employees in the ratio of 7:4 and increases their wages in the ratio 3:5. State whether his bill of total wages increases or decreases and in what ratio.**

a) increases 20:21

b) decreases 21:20

c) increases 21:22

d) decreases 22:21

e) None of these

Answer –**b) decreases 21:20**

**Explanation :**

Let initial employees be 7x and then 4x similarly initial wages be 3y and then 5y

so total wage = 21xy initially and then 20xy

so wages decreases and ratio = 21:20

**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

e) None of these

Answer –**b) 32**

**Explanation :**

milk = 4x and water = 3x

milk = 4x – 14*4/7 and water = 3x – 14*3/7 + 14

4x – 8: 3x + 8 = 3:4

X = 8, so milk = 8*4 = 32 litres

**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

e) None of these

Answer –**b) 10.5**

**Explanation :**

(3x – 3)/(4x – 3) = ½

x = 1.5

sum of the numbers = 7*1.5 = 10.5

**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

e) None of these

Answer –**c) 42**

**Explanation :**

a: b = 2:3 and b:c = 4:5

a:b:c = 8:12:15

Difference between first and third number = (7/35)*210 = 42

**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

e) None of these

Answer –**d) 280**

**Explanation :**

Value is given in the ratio 8:4:2.

(8x/0.25) + (4x/0.5) + (2x/1) = 840.

X = 20. Total amount = 14*20 = 280

**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

e) None of these

Answer –**b) 4000, 5000**

**Explanation :**

4x – 2y = 2000 and 5x – 3y = 2000.

X = 1000, so income = 4000 and 5000

**Note:** Dear Readers if you have any doubt in any chapter in Quants you can ask here. We will clear your doubts

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