Out of the total income, a family saves 15% and the rest of the amount is spent on three types of expenditure – health, education, and food in the ratio of 1 : 2 : 2. The income is Rs. 300 less than thrice the expenditure incurred on education. What is the difference between the savings and the expenditure incurred on health?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Rs. 300.
Let the total income = 100x
Savings = 15x and Amount spent (remaining) = 100x - 15x = 85x
Health : Education : Food = 1 : 2 : 2
Expenditure on Health = (1/5) × 85x = 17x and Education = (2/5) × 85x = 34x
100x = 3(34x) - 300
⇒ 100x = 102x - 300
⇒ x = 150
Savings = 15x = 15 × 150 = 2250
Expenditure on Health = 17x = 17 × 150 = 2550
Difference = 2550 - 2250 = Rs. 300