Simple Interest — Reena has ₹ 10,000. She lends ₹ x to Akshay for 2 years at 15% p.a. and the rest to Brijesh for 2 years at 18% p.a. After 2 years, Akshay’s interest exceeds Brijesh’s by ₹ 360. How much did Reena lend to Brijesh?

Introduction / Context:A split investment under simple interest with a specified difference in interest lets us write one linear equation in the split variable. Then the asked amount follows directly.

Given Data / Assumptions:

• Total funds = ₹ 10,000.
• Akshay receives ₹ x at 15% for 2 years.
• Brijesh receives ₹ (10,000 − x) at 18% for 2 years.
• Akshay’s interest is ₹ 360 more than Brijesh’s.

Concept / Approach:Interest_A = x * 0.15 * 2 = 0.30x. Interest_B = (10,000 − x) * 0.18 * 2 = 0.36(10,000 − x). Equation: 0.30x = 0.36(10,000 − x) + 360.

Step-by-Step Solution:0.30x = 3600 − 0.36x + 360 ⇒ 0.66x = 3960 ⇒ x = 6000.Thus Brijesh’s share = 10,000 − 6,000 = ₹ 4,000.

Verification / Alternative check:Interests: Akshay = 6000*0.30 = 1800; Brijesh = 4000*0.36 = 1440; difference = 360, as stated.

Why Other Options Are Wrong:₹ 2,500, ₹ 3,500, ₹ 4,200, ₹ 5,000 fail the interest-difference check.

Common Pitfalls:Sign mistakes when moving terms; always keep track of which interest is larger.

Final Answer:₹ 4,000