Ratio and Proportion Questions Quiz 4 For IBPS Clerk Pre, SBI Clerk Pre and IBPS RRB

Direction : Read the following questions carefully and choose the right answer.
Important for :
1
Anmol had 10 paise, 25 paise and 50 paise coins in the ratio of 10 : 8 :  9 respectively. After giving Rs. 20 his mother he has Rs. 40. How many 50 paise coins did he have?
» Explain it
A
Total money = 20 + 40 = 60

In this question the total money is given so we need to multiply the value of the coins in the ratio.

10 × 0.10 x + 8 × 0.25x + 9 × 0.50x = 60

x + 2x + 4.5x = 60

7.5 x = 60

x = 8

Number of 50 paise coins = 9 × 8 = 72

Hence, option A is correct.

2
Three numbers A, B and C are in the ratio of 12 : 15 : 25. If sum of these numbers is 312, ratio between the difference of B and A and the difference of C and B is –
» Explain it
C
Let the number A, B and C be 12a , 15a and 25a respectively

Then from the question 12a + 15a + 25a  =   312

 ⇒ a = 312 = 6 52

 ⇒ required ratio = 15 × 6 – 12 × 6 25 × 6 – 15 × 6

 = 3 = 3 : 10 10

Hence, option C is correct.
3
The ratio of Nicotine to Heroine in four types of drugs of equal quantity is 2 : 3, 3 : 7, 4: 11 and 11 :9 respectively. The four drugs are mixed together. What is the ratio of Nicotine to Heroine after mixing?
» Explain it
C
Let the quantity of each drugs be ‘a’

Then quantity of nicotine after mixing is

 ( 2 + 3 + 4 + 11 ) a 5 10 15 20

 = ( 2 × 12 + 3 × 6 + 4 × 4 + 11 × 3 ) a 60

 = ( 91 ) a 60

and quantity of heroine after mixing is

 ( 3 + 7 + 11 + 9 ) a 5 10 15 20

 = ( 3 × 12 + 7 × 6 +11× 4 + 9 × 3 ) a 60

 = ( 149 ) a 60

⇒ required ratio of nicotine to heroine after mixing

=
 ( 91 ) a 60
= 91 : 149
 ( 149 ) a 60

Hence, option (C) is correct.
4
Out of three positive numbers, the ratio of the first and the second numbers is 3 : 4 that of the second and the third numbers is 5 : 6 if the product of the second and the third numbers is 4320. What is the sum of three numbers?
» Explain it
A
Ratio of 1st and 2nd numbers = 3 : 4

Ratio of 2nd and 3rd numbers = 5 : 6

Let the 2nd number = 5x, third number = 6x

Product of 2nd and 3rd numbers = 4320

5x × 6x = 4320

x2 = 144

x = 12

2nd number = 60, 3rd number = 72,

 1st number = 60 × 3 = 45 4

Sum of three numbers = 60 + 72 + 45 = 177

Hence, option A is correct.
5
The cost price of 2 shirts and 3 jeans is Rs. 2200 and the cost price of 2 jeans and 4 shirts is Rs. 2400. Find the ratio between the cost price of the jeans and the shirt.
» Explain it
B
Let the cost price of one shirt = x Rs., the cost price of one jeans = y Rs.

According to the question,

2x + 3y = 2200 ....1

2y + 4x = 2400

2x + y = 1200 ....2

After solving these 2 equation,

x = 350 Rs. , y = 500 Rs.

Ratio = 500 : 350 = 10 : 7

Hence, option B is correct.
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