20 questions in the pattern of MAH MBA CET, NMAT and SNAP. Each question is marked with the exams it suits. Answer it, then open the step-by-step solution.
An article is sold at a loss of 15%. Had it been sold for Rs. 160 more, there would have been a gain of 5%. What is the cost price?
The difference between 5% gain and 15% loss is 20% of CP.
20% of CP = 160, so CP = 160 × 100/20 = 800.
A trader marks his goods 50% above cost price and allows a discount of 15%. What is his gain or loss percentage?
Take CP = 100.
Marked price = 150; selling price = 150 × 85/100 = 127.5.
Result: 27.5% profit.
A trader marks his goods 25% above cost price and allows a discount of 15%. What is his gain or loss percentage?
Take CP = 100.
Marked price = 125; selling price = 125 × 85/100 = 106.25.
Result: 6.25% profit.
A man buys goods worth Rs. 1500. He sells 2/5 at 20% profit and the rest at 10% loss. What is his overall result?
Part 1 costs 600 and gains 120; part 2 costs 900 and loses 90.
Net = 30 on 1500, i.e. 2% profit.
An article is sold at a loss of 15%. Had it been sold for Rs. 80 more, there would have been a gain of 5%. What is the cost price?
The difference between 5% gain and 15% loss is 20% of CP.
20% of CP = 80, so CP = 80 × 100/20 = 400.
A vendor buys bananas at 6 for Rs. 10 and sells them at 3 for Rs. 7. What is his gain or loss percentage?
CP of one = 10/6 = 1 2/3; SP of one = 7/3 = 2 1/3.
Result = (2 1/3 − 1 2/3)/1 2/3 × 100 = 40% profit.
By what percentage above cost should a shopkeeper mark his goods so that after a 20% discount he still makes a 20% profit?
Take CP = 100. Required SP = 120.
Marked price × 4/5 = 120, so MP = 150.
Mark-up = 50%.
A man buys goods worth Rs. 2400. He sells one-half at 20% profit and the rest at 10% loss. What is his overall result?
Part 1 costs 1200 and gains 240; part 2 costs 1200 and loses 120.
Net = 120 on 2400, i.e. 5% profit.
The cost price of 16 articles is equal to the selling price of 12 articles. What is the gain or loss percentage?
Let each article cost 1. Then SP of 12 articles = 16, so SP per article = 1 1/3.
Result: (16 − 12)/12 × 100 = 33 1/3% profit.
A shopkeeper sells at 25% above cost price and also uses a weight that is 20% less than the true weight. What is his total gain percentage?
For goods costing 100 he gives only 80 worth but charges 125.
Gain% = (125 − 80)/80 × 100 = 56.25%.
The cost price of 15 articles is equal to the selling price of 12 articles. What is the gain or loss percentage?
Let each article cost 1. Then SP of 12 articles = 15, so SP per article = 1.25.
Result: (15 − 12)/12 × 100 = 25% profit.
A shopkeeper sells at 20% above cost price and also uses a weight that is 20% less than the true weight. What is his total gain percentage?
For goods costing 100 he gives only 80 worth but charges 120.
Gain% = (120 − 80)/80 × 100 = 50%.
The marked price of a shirt is Rs. 3000. The shopkeeper allows a discount of 25% and still gains 20%. What is the cost price?
SP = 3000 × 75/100 = 2250.
CP = 2250 × 100/120 = 1875.
A man sells two watches at Rs. 990 each, gaining 15% on one and losing 15% on the other. What is his overall gain or loss percentage?
When two items are sold at the same price, one at x% gain and one at x% loss, there is always a loss.
Loss% = x²/100 = 15²/100 = 2.25%.
If an article is sold at a profit of 16% instead of 8%, the seller gets Rs. 64 more. What is the cost price?
The extra amount is (16 − 8)% = 8% of CP.
CP = 64 × 100/8 = 800.
A sells a bicycle to B at a profit of 20%, and B sells it to C at a profit of 10%. If C pays Rs. 1320, what did A pay for it?
C's price = A's cost × 1.2 × 1.1 = 1.32 × A's cost.
A's cost = 1320 ÷ 1.32 = 1000.
By selling a watch for Rs. 850, a man loses 15%. At what price should he sell it to gain 15%?
CP = 850 × 100/85 = 1000.
Required SP = 1000 × 115/100 = 1150.
A man sells two watches at Rs. 1500 each, gaining 25% on one and losing 25% on the other. What is his overall gain or loss percentage?
When two items are sold at the same price, one at x% gain and one at x% loss, there is always a loss.
Loss% = x²/100 = 25²/100 = 6.25%.
By selling a watch for Rs. 300, a man loses 25%. At what price should he sell it to gain 15%?
CP = 300 × 100/75 = 400.
Required SP = 400 × 115/100 = 460.
A vendor buys bananas at 3 for Rs. 5 and sells them at 5 for Rs. 12. What is his gain or loss percentage?
CP of one = 5/3 = 1 2/3; SP of one = 12/5 = 2.4.
Result = (2.4 − 1 2/3)/1 2/3 × 100 = 44% profit.
These are original practice questions written by Target Campus in the pattern and difficulty of MAH MBA CET, NMAT, SNAP and other MBA entrance tests. They are not previous-year papers.
Preparing for MAH CET, SNAP or NMAT? Courses, live classes and mocks by Dr. Kiran Derle at Target Campus.
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