A shopkeeper sold an article at a profit of 17 5 If he had bought it at 8 less and sold it at 30 pro...........

Quantitative Aptitude ( CCS) Profit and loss

A shopkeeper sold an article at a profit of 17.5%. If he had bought it at 8% less and sold it at 30% profit, he would have earned Rs. 11.55 more as profit. Cost price of the article is:

550

675

750

1475

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Explanation:

Let the cost price of the article be Rs (P)
So according to question
Selling price = P x (117.5)/100
If he had bought it at 8% less and sold it at 30% profit, he would have earned Rs. 11.55 more as profit.
Therefore P x (117.5)/100 + 11.55
= P x (92/100) x130/100
P = (11.55)/(0.99 x 130 -117.5) x 100
P= Rs 550