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Question 51
On selling an article for ₹800, a person loses 20% of its selling price. At what price should he sell it to gain 25% on its cost price?
Solution
Hence the cost price of the article $$=800+160=960Rs.$$
Hence to get 25%, profit, the selling price $$=\dfrac{960\times 25}{100}=240$$
So, the selling price of the article $$=960+240=1200Rs. $$
As per the given question,
Let the cost price of the article =x Rs.
So, the loss amount $$=\dfrac{800\times 20}{100}=160 Rs.$$Hence the cost price of the article $$=800+160=960Rs.$$
Hence to get 25%, profit, the selling price $$=\dfrac{960\times 25}{100}=240$$
So, the selling price of the article $$=960+240=1200Rs. $$
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