A family income is ₹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 ₹) is incurred on education?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 12600.
Savings amount = (8/100) × 35000 = 2800
Total expenditure = 35000 - 2800 = 32200
Let the expenditure on food, health, education, entertainment, and rent be a, b, c, d, and e, respectively.
b = 1.5a
d = a/3
c = 2b = 2(1.5a) = 3a
d = (1/3)(a + 1.5a + 3a) = (1/3)(5.5a) = (11/6)a
a + b + c + d + e = 32200
⇒ a + 1.5a + 3a + (a/3) + (11/6)a = 32,200
⇒ 46a/6 = 32200
⇒ a = 4200
⇒ c = 3a = 3 × 4200 = 12600
Therefore, the expenditure incurred on education is ₹12,600.