Question

A flat worth ₹9,50,000 is sold by Lakshman to Bharath at 8% profit. If Bharath sells it back to Lakshman at 3% loss, then find the gain/loss (in ₹) of Lakshman in the entire transaction?

• A. Lakshman gains ₹32,780
• B. Lakshman gains ₹50,200
• C. Lakshman gains ₹45,220
• D. Lakshman loses ₹45,220

Answer 1

Answer:

A. Lakshman gains ₹32,780

Let Lakshman’s cost price = ₹9,50,000

First sale (Lakshman → Bharath)

Profit = 8%

$SP_1 = 9,50,000 \times 1.08 = 10,26,000$

Lakshman receives ₹10,26,000

Second sale (Bharath → Lakshman)

Loss = 3% on ₹10,26,000

$SP_2 = 10,26,000 \times 0.97 = 9,93,220$

Lakshman pays ₹9,93,220

Net gain of Lakshman

Cash inflow = ₹10,26,000
Cash outflow = ₹9,93,220

$\text{Net gain} = 10,26,000 - 9,93,220 = 32,780$

Final Answer: Lakshman makes a profit of ₹32,780