Question 57

The total cost price of two articles is ₹2,000. Oneofthem is sold at a profit of 12% and the other at a loss of 12%. The overall gain in the transaction is 1.2%. The costprice of the article for which there wasa profit was:

Solution

Let the C.P of one article be x

C.P of second article (2000-x)

S.P of first article $$=\frac{112x}{100}$$

S.P of second article $$=\frac{88(2000-×)}{100}$$

Overall profit = $$\frac{1.2}{100}\times 2000=24$$

According to the question,

$$\frac{112x}{100}+\frac{88(2000-×)}{100}=2024$$

$$1.12x+1760-0.88x=2024$$

$$0.24x=264$$

$$x=1100$$

Required profit= Rs 1100.

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