Concept of “Profit and Loss”–14

Question: An article is sold at a discount of 20% on the marked price. In order to gain 60% on marked price, at how many more percent of the discounted price, it should be sold? [एक वस्तु अंकित मूल्य पर 20% बट्टे पर उपलब्ध है. अंकित मूल्य पर 60% लाभ कमाने के लिए, बट्टे पर उपलब्ध वस्तु के मूल्य में कितने प्रतिशत की वृद्धि करनी चाहिए?] [Ans. (e) None of these (100%)]

(a) 75%     (b) 25%    (c) 65%   (d) 200%   (e) None of these

Solution:

Detailed Explanation:

First Method: Let marked price (MP) be 100. Since 20% discount is given on marked price, so discounted selling price is 80% of 100, which is 80.

If 60% profit is to be earned on marked price, then it must be 100 + 60% of 100 = 160

If 80 is to be 160, so it should be 200%. That is, there should be an increase of 100%. Ans.

Second Method: Let marked price (MP) be 100. Since 20% discount is given on marked price, so discounted selling price is 80% of 100, which is 80.

If 60% profit is to be earned on marked price, then it must be 100 + 60% of 100 = 160

If 80 is to be 160, so it should be 200%. That is, there should be an increase of 100%. Ans.

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