A man purchases 5 shirts in a ‘buy two, get five’ scheme. How much dis

A man purchases 5 shirts in a ‘buy two, get five’ scheme. How much discount percentage did he get ?

50%
60%
40%
45%
This question was previously asked in
UPSC CISF-AC-EXE – 2023
The scheme is “buy two, get five”. In the context of retail promotions, this is usually interpreted as “pay for 2 items and receive 5 items in total”. Thus, the man receives 5 shirts by paying the price of only 2 shirts.
– Total number of shirts received = 5
– Number of shirts paid for = 2
– Number of free shirts received = 5 – 2 = 3
– The discount percentage is calculated based on the total number of items received at the discounted price compared to the original price of all items.
– Discount percentage = (Number of free items / Total number of items received) * 100
Let the price of one shirt be P.
The actual price of 5 shirts would be 5 * P.
Under the scheme, the man pays the price of 2 shirts, which is 2 * P, to get 5 shirts.
The amount of discount received is the price of the free shirts, which is 3 * P.
Discount percentage = (Discount amount / Original price of items received) * 100
Discount percentage = (3P / 5P) * 100 = (3/5) * 100 = 60%.
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