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The list price of a washing machine is ₹13,200. It is sold to a retailer after a 20% discount. What is the cost price of the washing machine to the retailer?
₹10,560
₹10,660
₹11,560
₹11,660
₹10,560
Calculate 10% of the price (1,320) and multiply by 2 (2,640) to find the discount amount, then subtract it from the total: 13,200 - 2,640 = 10,560.
List Price = ₹13,200, Discount Percentage = 20%.
Cost Price=ListPrice×(1−100Discount%)
Calculate 10% of the price (1,320) and multiply by 2 (2,640) to find the discount amount, then subtract it from the total: 13,200 - 2,640 = 10,560.
Many students accidentally calculate 20% of the result instead of subtracting it, or confuse the list price with the final cost price.
Identify given variables
The list price L is ₹13,200 and the discount rate d is 20%.
L=13200,d=20%
Calculate the discount amount
The discount amount is 20% of ₹13,200, which is calculated as 13200×0.20.
Discount=13200×10020=2640
Calculate final cost price
Subtract the discount from the original list price: 13200−2640=10560.
Cost Price=13200−2640=10560
A is correct because the cost price after applying a 20% discount on ₹13,200 is ₹10,560.
Understanding how discounts work is essential for profit and loss calculations in commercial mathematics, often appearing alongside tax (GST) calculations in competitive exams.