1.

A shopkeeper has 76 articles of same price. He sells 20 articles at a profit of 15%, 40 at a profit of 19% and the remaining at a profit of 25%. He ends up making a profit of Rs. 27,740. The cost price (in Rs.) of 1 article is1. 2,0002. 1,3873. 1,9004. 2,100

Answer» Correct Answer - Option 3 : 1,900

Given:

A shopkeeper has 76 articles of same price. He sells 20 articles at a profit of 15%, 40 at a profit of 19% and the remaining at a profit of 25%. He ends up making a profit of Rs. 27,740. 

Concept used:

Profit and Loss

Calculation:

Let the cost price of each article be Rs.100

A shopkeeper has 76 articles so,

Cost price = 76 × 100 = Rs.7600

20 articles are sold at profit of 15%

⇒ \(20 × \frac{{115}}{{100}} = Rs.23\)

40 articles are sold at 19% 

⇒ \(40 × \frac{{119}}{{100}} = Rs.47.6\)

Remaining 16 articles are sold at 25% profit

⇒ \(16 × \frac{{125}}{{100}} = Rs.20\)

Total selling price = 23 + 20 + 47.6 

Total selling price = 90.60 × 100 = Rs.9060

Profit = 9060 - 7600 = 1460

As per the question,

⇒ 1460 unit = 27740

⇒ 100 unit = \(\frac{{27740}}{{1460}} \times 100\)

∴ CP of one article = Rs1900

 



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