# A shopkeeper sold an article for Rs2550 after giving a discount of 15% and thereby incurred a loss of 40%. had he sold the article without discount hi

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A shopkeeper sold an article for Rs2550 after giving a discount of 15% and thereby incurred a loss of 40%. had he sold the article without discount his net profit or loss would have been?
1. Rs1250 profit
2. Rs1500 profit
3. Rs1250 loss
4. Rs1500 loss
5. no profit no loss

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Correct Answer - Option 3 : Rs1250 loss

GIVEN:

SP = Rs2550

discount = 15%

loss = 40%

EXPLANATION:

let the marked price of article be x

discount = 15%

SP = 85% of x

$85\% \space of\space x=2550 \\x=Rs3000 \\SP =60\%\space of \space CP \\CP=\frac{100}{60}\times2550=Rs 4250 \\loss\space without\space discount =4250-3000=Rs1250$