A man buys a cycle for ₹ 1,400 and sells it at a loss of 15%. What is

A man buys a cycle for ₹ 1,400 and sells it at a loss of 15%. What is the selling price of the cycle?

₹ 1,190
₹ 1,160
₹ 210
₹ 1,180
This question was previously asked in
UPSC CBI DSP LDCE – 2023
The cost price (CP) of the cycle is ₹ 1,400.
The cycle is sold at a loss of 15%.
The amount of loss is 15% of the cost price.
Loss amount = 15% of ₹ 1,400 = (15/100) * 1400 = 15 * 14 = ₹ 210.
The selling price (SP) is the cost price minus the loss.
SP = CP – Loss amount = ₹ 1,400 – ₹ 210 = ₹ 1,190.
Alternatively, the selling price can be calculated directly as CP * (1 – Loss%/100).
SP = 1400 * (1 – 15/100) = 1400 * (85/100) = 14 * 85 = ₹ 1,190.
Loss is calculated as a percentage of the cost price. Selling price in case of loss is Cost Price minus Loss amount.
Profit or loss percentages are typically calculated on the cost price unless otherwise stated.