1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers left the fort. Thus, food lasted for 32 days, how many soldiers left the fort?

Question

Question

This question was previously asked in

RRC Group D Previous Paper 13 (Held On: 11 Oct 2018 Shift 1)

Answer 1

Let the number of soldiers who left the fort be x.

As we know,

M₁ × D₁ = M₂ × D₂ + M₃ × D₃

Given, M₁ = 1200 soldiers, D₁ = 28 days, M₂ = 1200 soldiers, D₂ = 4 days, M₃ = (1200 – x) soldiers and D₃ = 32

M₁ × D₁ = M₂ × D₂ + M₃ × D₃

1200 × 28 = 1200 × 4 + (1200 – x) × 32

(1200 × 28) – (1200 × 4) = (1200 – x) × 32

1200 (28 – 4) = (1200 – x) × 32

(1200 × 24)/32 = (1200 – x)

x = 300