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Profit & Loss Questions and Answers

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121.

If selling price is doubled, the profit triples. Find the profit percent.

Answer: B

Cost price be \(Rs. x\) and Selling price be \(Rs. y.\)

Then, \(3(y - x) = (2y - x) \)

\(\Rightarrow y = 2x\)

Profit \(= Rs. (y - x) = Rs. (2x - x) = Rs. x.\)

\(\therefore\) Profit % \(= (\frac{x}{x} \times 100)\) % \(= 100\) %

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122.

\(Two \) Mangoes, \(three \) grapes and \(four \) apples cost \(Rs. 15.\) \(Three\) Mangoes, \(two\) grapes and \(one\) apple cost \(Rs. 10.\) I bought \(3\) Mangoes, \(3\) grapes and \(3\) apples. How much did I pay?

Answer: B

Mango \(= X;\) Grape \(= Y;\) Apple \(= Z;\)

\(2X + 3Y + 4Z= 15 - 1\)

\(3X + 2Y + Z = 10 - 2\)

Adding (1) and (2) \(5X + 5Y + 5Z = 25\)

Clearly, \(X + Y + Z = 5\)

So cost of \(3\) Mangoes, \(3\) Grapes and \(3\) Apples will be \(3X + 3Y + 3Z \) \(i.e, 15\)

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