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If 1215 kg of rice is consumed by 189 girls for 8 days in a girl’ s hostel, then how much rice (in kg) is required for consumption by 252 girls for 10
Question

If 1215 kg of rice is consumed by 189 girls for 8 days in a girl’ s hostel, then how much rice (in kg) is required for consumption by 252 girls for 10 days?

A.

2500

B.

2000

C.

1925

D.

2025

Correct option is D

Given:
M1 = 189, D1 = 8, W1 = 1215
M2 = 252, D2 = 10, W2 = ?

Formula Used:
M1×D1W1=M2×D2W2\frac{M1 \times D1}{W1} = \frac{M2 \times D2}{W2}​​

Solution:
189×81215=252×10W2 W2=252×10×1215189×8 W2=4×10×12153×8=10×12156 W2=10×202.5=2025kg\frac{189 \times 8}{1215} = \frac{252 \times 10}{W2}\\ \ \\W2 = \frac{252 \times 10 \times 1215}{189 \times 8}\\ \ \\W2 = \frac{4 \times 10 \times 1215}{3 \times 8} = \frac{10 \times 1215}{6}\\ \ \\ W2 = 10 \times 202.5 = 2025 kg​​
Final Answer:
So the correct answer is (d)

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