A man sold his watch at a loss of 5%. Had he sold it for ₹56.40 more, he would have gained 10%. What is the cost price (in ₹) of the watch?

Question

Question

This question was previously asked in

RPF Constable 2024 Official Paper (Held On 04 Mar, 2025 Shift 2)

Answer 1

Given:

A man sold his watch at a loss of 5%. Had he sold it for ₹56.40 more, he would have gained 10%.

Formula used:

Selling Price (SP) at 5% loss = Cost Price (CP) × (1 - Loss%)

Selling Price (SP) at 10% gain = Cost Price (CP) × (1 + Gain%)

Difference in SP = SP at 10% gain - SP at 5% loss

Calculation:

Let the Cost Price (CP) of the watch be ₹x.

SP at 5% loss = x × (1 - 5/100) = x × 0.95

SP at 10% gain = x × (1 + 10/100) = x × 1.10

Given: Difference in SP = ₹56.40

⇒ x × 1.10 - x × 0.95 = 56.40

⇒ x (1.10 - 0.95) = 56.40

⇒ x × 0.15 = 56.40

⇒ x = 56.40 ÷ 0.15

⇒ x = 376

∴ The cost price (CP) of the watch is ₹376. The correct answer is option (3).