A family income is Rs. 35,000 in a month. The family spends the income on various expenditures, viz., food, health, education, entertainment, and rent. After incurring all the expenditures, 8% is saved every month. The expenditure on health is 50% more than that of food. While food is three times of the expenditure on entertainment, the expenditure on health is half of the expenditure on education. The expenditure on rent is one-third of the combined expenditure on food, health and education. How much expenditure (in Rs.) is incurred on education?

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 2)

Answer 1

Given:

The monthly income of the family = Rs.35000

Saving after expenditure = 35000 × 8% = 2800

Expenditure = (35000 - 2800) = Rs.32200

Expenditure on food : expenditure on health = 100 : 150 = 2 : 3

Expenditure on food : expenditure on entertainment = 3 : 1

Expenditure on health : expenditure on education = 1 : 2

Expenditure on rent : combined expenditure of (food + health + education) = 1 : 3

Concept used:

A : B = P : Q; B : C = R : S

A : B : C = PR : QR : QS

Calculation:

Exp. on food : exp. on health : exp. on entertainment : exp. on education = 6 : 9 : 2 : 18

Exp. on rent : combined exp. of (food + health + education) = (1 : 3) × 11 = 11 : 33

Exp. on food : exp. on health : exp. on entertainment : exp. on education : exp. on rent = 6 : 9 : 2 : 18 : 11

Now, (6 + 9 + 2 + 18 + 11) units = 46 units = 32200

⇒ 1 unit = 32200/46 = Rs.700

Exp. on education = 18 units = 700 × 18 = Rs.12600

∴ The correct answer is Rs.12600.

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