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The table below shows the cost price (in Rupees) and sale price (in Rupees) of four items for five…

The sale price of item D in 2019 is Rs 40,460 and its cost price in 2015 is Rs 25,000. The excess, as a percentage of the 2015 cost price, is…

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The table below shows the cost price (in Rupees) and sale price (in Rupees) of four items for five years.

YearItem AItem BItem CItem D
Cost PriceSale priceCost PriceSale PriceCost priceSale PriceCost PriceSale Price
201520000023000010000011000025000287502500028750
201614000016100015000016500027500316252750031900
201721000024150016000017600040000440003000035100
201818500021275019000020900033300382954000047200
201917000019550019950022144534000391003400040460

Question: By what percentage does the sale price of item D in 2019 exceed its cost price in 2015?

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Answer and explanation

Correct answer C

The sale price of item D in 2019 is Rs 40,460 and its cost price in 2015 is Rs 25,000. The excess, as a percentage of the 2015 cost price, is 40460−2500025000×100=1546025000×100=61.84%\frac{40460-25000}{25000}\times100=\frac{15460}{25000}\times100=61.84\%. Measuring the excess on the 2019 sale price instead, 1546040460×100≈38.21%\frac{15460}{40460}\times100\approx38.21\%, uses the wrong base.

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