A family saves 30% of the total income and the savings amount to ₹600 less than half of the expenditure. If the total expenditure is spent on health, food, and education in the ratio of 3 : 5 : 6, then what amount of expenditure is spent on education?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. ₹3,600.
Let total income = 100x
Savings = 30x and Expenditure = 70x
30x = (70x/2) − 600
⇒ 30x = 35x − 600
⇒ 5x = 600
⇒ x = 120
Total expenditure = 70x = 70 × 120 = 8400
Health : Food : Education = 3 : 5 : 6
Education = (6/14) × 8400 = 3600