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Question
Maganlal bought trousers for Rs 400 and a shirt for Rs 200 and sold them for Rs 448 and Rs 250 respectively. Which of these transactions was more profitable?
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Solution
Cost price of trousers = Rs 400
Selling price of trousers = Rs 448
Since selling price of trousers is more than cost price of trousers, so there is a profit.
Profit = Selling price − Cost price
= 448 − 400
= Rs 48
Cost price of a shirt = Rs 200
Selling price of a shirt = Rs 250
Since selling price of a shirt is more than cost price of a shirt, so there is a profit.
Profit = Selling price − Cost price
= 250 − 200
= Rs 50
Let x % be the profit on selling trousers and y % be the profit on selling a shirt. Then,
`"x"/100 = "Profit"/"cost price" = 48/400` and
`"y"/100 = "Profit"/"Cost price" = 50/200`
`=> "x"/100 xx 100 = 48/400 xx 100` and
`"y"/100 xx 100 = 50/200 xx 100`
⇒ x = 12 and y = 25
So, Maganlal made a profit of 12% on trousers and 25% on a shirt.
Hence, transaction with the shirt was more profitable.
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