Fatima sells two sewing machines for ₹3,000 each. She makes a profit of 25% on the first and a loss of 20% on the second. What is her overall result?

No profit, no lossCorrect answerYour answerProfit of ₹150Correct answerYour answerProfit of ₹300Correct answerYour answerLoss of ₹150Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

CP of the first = $3000 \times \frac{100}{125} = 2400$ , that is ₹2,400.
CP of the second = $3000 \times \frac{100}{80} = 3750$ , that is ₹3,750.
Total CP = ₹6,150 and total SP = ₹6,000.
She makes an overall loss of ₹150.

Worth noting

Many students subtract $(25\% - 20\% = 5\%)$ and pick a profit of ₹300. That fails because the two percentages are on different cost prices. Find each CP.

Concept: Two articles at the same SP, unequal % profit and loss
Typical timeTypical: 100 s
Your timeYours: —

The rule this testsProfit and loss

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Fatima sells two sewing machines for ₹3,000 each. She makes a profit of 25% on the first and a loss of 20% on the second. What is her overall result?

Explanation