Question Details

Directions: Pie chart shows income distribution of four earning member of a family out oftotal family income in the year 2016. Read the data carefully and answer the questions given below.


If income of B and D increased by 20% and 40% in the year 2017 over the previous year, then find the ratio of total income of B & D together in 2016 to that of in 2017?

Options

A

3 : 4

B

45 : 56

C

45 : 53

D

47 : 56

E

6 : 7

Show Answer

Correct Answer :

Option B

45 : 56

45 : 56

Solution :

Given:

  • B's income in 2016 = 35% of the total family income.
  • D's income in 2016 = 10% of the total family income.
  • In 2017, B's income increased by 20%.
  • In 2017, D's income increased by 40%.

Step 1: Let the total family income in 2016 be Rs. 100.

Income of B in 2016 = 35

Income of D in 2016 = 10

Total income of B and D in 2016 = 35 + 10 = 45

Step 2: Find the total income of B and D in 2017

B's income in 2017 = 35 × 1.20 = 42

D's income in 2017 = 10 × 1.40 = 14

Total income of B and D in 2017 = 42 + 14 = 56

Step 3: Find the required ratio

Required Ratio = 45 : 56

Answer: 45 : 56

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