SBI PO – 2015 – 22

Question: A shopkeeper sold an item for Rs 6080 after giving 20% discount on the labeled price and made 18% profit on the cost price. What would have been the percentage profit if he had not given the discount? [एक दुकानदार एक सामान को अंकित मूल्य पर 20% का बट्टा देते हुए 6080 रूपये में बेचता है; जिससे उसे 18% का लाभ होता है. दुकानदार का प्रतिशत लाभ बताएं, यदि बट्टा नहीं दिया जाता?] 

Ans. (2) 47.5%

1) 45.5%    (2) 47.5%     (3) 55%     (4) 42%        (5) 54%

Solution:

Detailed Explanation:

First Method: Let cost price (CP) be 100. The article is sold at a profit of 18%, so the selling price is 118% of 100 = 118.  

Next, the discount given is 20% on the label price. If we assume label price as 100%; then selling price is 80%, that is 118. So, 100% is 147.50. In other words, it can be said as – “80% is equivalent to 118, so 100% is equivalent to what?” If discount is not given on label price, then label price will be the selling price, that is, 147.5%. Therefore, profit percent is 47.5% Ans.

Second Method: Here, CP is increased by x% to get label price, and label price is reduced by 20% (discount); so that selling price is obtained (18% above the cost price). When discount is not given, then label price becomes selling price, and x% becomes profit percent.