A person buys an item from a shop for which the shopkeeper offers a discount of 10% on the marked price. The person pays using an e-wallet which gives 10% cash back. Which one of the following is the value of effective discount?

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Q: 2 (CAPF/2022)
A person buys an item from a shop for which the shopkeeper offers a discount of 10% on the marked price. The person pays using an e-wallet which gives 10% cash back.
Which one of the following is the value of effective discount?

question_subject: 

Logic/Reasoning

question_exam: 

CAPF

stats: 

0,26,16,6,7,26,3

The effective discount is not simply the sum of the individual discounts, i.e., it is not 10% (shopkeeper`s discount) + 10% (e-wallet cashback) = 20%. This is because the second discount of 10% is applied after the first discount has already been deducted.

So, in actuality, the calculation would be:

The first discount of 10% reduces the price to 90% of the original.

Then, a further discount of 10% on this reduced price further reduces it to 90% of the already reduced price.

Mathematically, the effect of both discounts combined can be calculated as follows:

0.90 (after the first discount) * 0.90 (after the second discount) = 0.81.

This means that the customer is effectively paying 81% of the original price. Therefore, the effective discount is 100% - 81% = 19%.

Hence, the correct answer is option 3: 19%. Options 1, 2, and 4 are not correct because they do not correctly account for the compounding effect of the two discounts.