Question 63

A trader presently earns 17% profit by selling an article. If he increases the price of the article by ₹33.60, his gain percent increases to 29%. What is the cost price of the article?

Solution

Let's assume the cost price of the article is ₹100y.

A trader presently earns 17% profit by selling an article.

The initial selling price of an article = 100y of (100+17)%

= 100y of 117%

= 117y

If he increases the price of the article by ₹33.60, his gain percent increases to 29%.

the selling price of an article after an increase = 100y of (100+29)%

= 100y of 129%

= 129y

So 129y-117y = 33.60

12y = 33.60

y = 2.8

The cost price of the article = 100y = $$100\times2.8$$

= ₹280


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