SBI PO – 2015 – 09

Question:  A shopkeeper labeled the price of his article so as to earn a profit of 30% on the cost price. He then sold the articles by offering a discount of 10% on labeled price. What is the actual percent profit earned in the deal? [एक दुकानदार अपने सामान पर इस तरह से मूल्य अंकित करता है कि उसे वस्तु के क्रय मूल्य पर 30% का लाभ हो. परन्तु, वह अपने सामान के अंकित मूल्य पर 10% का बट्टा देते हुए बेचता है. इस पूरे सौदे में दुकानदार का लाभ बताइए] Ans. 17%   

1) 18%    (2) 15%     (3) 20%     (4) Can’t be determined (5) none of these    

[Detailed Explanation:

First Method: Let cost price (CP) be 100. Since the label price of the article is 30% above the cost price, so the label price is 130% of 100 = 130.

10% discount is given on LP, so the selling price (SP) is 130 – 10% of 130 = 130 – 13 = 117.

Profit = 117 – 100 = 17. CP is 100. So, profit is 17% Ans.      

Second Method: When any quantity is changed by x% and y% successively, then the quantity is changed by

 x + y +    So, here x + y +  = (+ 30) + (-10) +  

= (+20) - 3 = +17. Therefore, Profit is 17% Ans.