A man lent ₹ 2,000 partly at 5% and the balance at 4%. If he receiv… — WBCS Main Examination 2023 Q16

Q16

ArithmeticSimple & Compound Interest

A man lent ₹ 2,000 partly at 5% and the balance at 4%. If he receives ₹ 92 towards annual interest, find the amount lent at 5%.

a.₹ 800
b.₹ 900
c.₹ 1,000
d.₹ 1,200

Answer: (D) ₹ 1,200

Let x be lent at 5%; then 0·05x + 0·04(2000 − x) = 92, i.e. 80 + 0·01x = 92, so x = ₹ 1,200. Check: 60 + 32 = ₹ 92. ₹ 800 would give only ₹ 88 of interest.

WBCS Main Examination 2023 — Paper VI: Arithmetic and Test of Reasoning · Question 16 of 200