On a ₹3,000 item, Shop X gives 10% off and then 20% off. Shop Y gives 20% off and then 10% off. Which is true?

Both shops charge ₹2,160Correct answerYour answerShop X charges ₹60 lessCorrect answerYour answerShop Y charges ₹60 lessCorrect answerYour answerBoth shops charge ₹2,100Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Shop X: $3000 \times 0.9 \times 0.8$ = ₹2,160.
Shop Y: $3000 \times 0.8 \times 0.9$ = ₹2,160.
Multiplication does not depend on order, so the final price is the same.

Worth noting

₹2,100 would need a flat 30%. The two successive discounts equal 28%, whatever the order.

Concept: Order of successive discounts does not matter
Typical timeTypical: 45 s
Your timeYours: —

The rule this testsSuccessive discounts

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Ten questions from Profit, Loss & Discount, at your own pace.

On a ₹3,000 item, Shop X gives 10% off and then 20% off. Shop Y gives 20% off and then 10% off. Which is true?

Explanation