Question 24

By selling two articles for ₹ 800 , a person gains the cost price of three articles. The profit percent is :

Let the cost price of each article be x.

By selling two articles for Rs 800, a person gains the cost price of three articles.

Gain = SP - CP

3x = 2 * 800 - 2x

5x = 1600

x = 320

Thus, the cost price of the article is Rs 320, and the selling price of the article is Rs 800

Profit %age $$=\dfrac{SP-CP}{CP}\times100=\dfrac{800-320}{320}\times100$$

Profit %age $$=150\%$$

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