A shopkeeper sells an article at 25% profit. Had he bought it for 10% loss and sold it for rs16 less, he would have earned 30% profit. What is the actual cost price?

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Solution

Let the actual cost price be $x$ Rs
Then Sale price = $\frac{5}{4} x$
If purchase cost of Shopkeeper = $\frac{9}{10} x$ and Sale price = $\frac{5}{4} x - 16$
Then According to question[ ( $\frac{5}{4} x - 16$ ) $-$ $\frac{9}{10} x$ ] $\times \frac{1}{x} \times 100$ $= \frac{13}{10} x$
Solving we get x= $37.86$ ( Approximately)

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A shopkeeper sells an article at 25% profit. Had he bought it for 10% loss and sold it for rs16 less, he would have earned 30% profit. What is the actual cost price?

Let the actual cost price be x RsThen Sale price = 54xIf purchase cost of Shopkeeper = 910x and Sale price =54x−16Then According to question[ (54x−16) − 910x ]×1x×100 =1310xSolving we get x=37.86 ( Approximately)