| 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
|
|