In a ration shop, there is a certain amount of cereals to distribute to 42 families for 15 days. If 48 kg of cereals can be distributed to 30 families for 7 days, then the quantity of cereals already in the shop was:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2, i.e., 144 kg.
Quantity = Number of families × Number of days × Daily consumption per family
Given: 48 kg for 30 families for 7 days
Daily consumption per family = 48 ÷ (30 × 7) = 48 ÷ 210 = 8/35 kg
Quantity for 42 families for 15 days = 42 × 15 × 8/35
42 × 15 = 630
630 × 8/35 = 5040 ÷ 35 = 144 kg