24 questions, 4 of them short answer (type the number, as in IPMAT Indore). Each is marked with the exam level it suits. Answer, then open the step-by-step solution.
The price of sugar rises by 25%. By what percentage must a family cut its consumption to keep its spending the same?
Spending = price × quantity. New price factor = 54, so quantity must become 36028797018963974503599627370496 of the old.
Cut = 9007199254740994503599627370496 = 20%.
Successive discounts of 25% and 10% are equivalent to a single discount of
Multiply what remains after each discount: 34 × 910 = 2740.
Single discount = 32.5%.
The cost price of 14 articles equals the selling price of 21 articles. Find the loss percentage.
Let each article cost Rs. 1. Selling 21 articles brings Rs. 14, so SP per article = 23.
Loss = 33 13%.
A shopkeeper marks goods 20% above cost and allows a discount of 10%. What is the profit percentage?
Take cost = 100. Marked price = 120; selling price = 120 × 910 = 108.
Profit = 8%.
The price of sugar rises by 60%. By what percentage must a family cut its consumption to keep its spending the same?
Spending = price × quantity. New price factor = 36028797018963972251799813685248, so quantity must become 58 of the old.
Cut = 38 = 37.5%.
In an election between two candidates, 10% of the votes were invalid. The winner got 55% of the valid votes and won by 900 votes. How many votes were cast in all?
Winning margin = 55% − 45% = 10% of the valid votes.
Valid votes = 900 ÷ 110 = 9000.
Total votes = 9000 ÷ 910 = 10000.
In one year the price of a product decreases by 20%, and the next year it decreases by 10%. What is the net percentage change?
Multiply the factors: 45 × 910 = 1825.
Net change = 28% (decrease).
A dealer claims to sell at 10% above cost price but uses a weight of 900 g for 1 kg. What is his actual gain percentage?
He gives 900 g but charges for 1000 g at 10% above cost.
Gain factor = (1000900) × 1110 = 119, so gain = 22 29%.
A shopkeeper marks goods 40% above cost and allows a discount of 20%. What is the profit percentage?
Take cost = 100. Marked price = 140; selling price = 140 × 45 = 112.
Profit = 12%.
A dealer claims to sell at 5% above cost price but uses a weight of 750 g for 1 kg. What is his actual gain percentage?
He gives 750 g but charges for 1000 g at 5% above cost.
Gain factor = (1000750) × 2120 = 75, so gain = 40%.
Successive discounts of 20%, 10% and 5% are equivalent to a single discount of
Multiply what remains after each discount: 45 × 910 × 1920 = 171250.
Single discount = 31.6%.
In one year the price of a product increases by 40%, and the next year it decreases by 50%. What is the net percentage change?
Multiply the factors: 75 × 12 = 710.
Net change = 30% (decrease).
In one year the price of a product increases by 10%, and the next year it decreases by 40%. What is the net percentage change?
Multiply the factors: 1110 × 35 = 3350.
Net change = 34% (decrease).
The cost price of 22 articles equals the selling price of 17 articles. Find the profit percentage.
Let each article cost Rs. 1. Selling 17 articles brings Rs. 22, so SP per article = 2217.
Profit = 50017%.
In an election between two candidates, 10% of the votes were invalid. The winner got 60% of the valid votes and won by 900 votes. How many votes were cast in all?
Winning margin = 60% − 40% = 20% of the valid votes.
Valid votes = 900 ÷ 15 = 4500.
Total votes = 4500 ÷ 910 = 5000.
A trader wants a profit of 26% after giving a discount of 30%. By what percentage above cost should he mark the goods?
Let cost = 100; selling price = 126.
Marked price × 710 = 126, so marked price = 180.
Mark-up = 80%.
Successive discounts of 25% and 20% are equivalent to a single discount of
Multiply what remains after each discount: 34 × 45 = 35.
Single discount = 40%.
In one year the price of a product increases by 10%, and the next year it decreases by 20%. What is the net percentage change?
Multiply the factors: 1110 × 45 = 2225.
Net change = 12% (decrease).
A dealer claims to sell at cost price but uses a weight of 960 g for 1 kg. What is his actual gain percentage?
He gives 960 g but charges for 1000 g.
Gain factor = (1000960) × 1 = 2524, so gain = 4 16%.
In an election between two candidates, every vote was valid. The winner got 60% of the valid votes and won by 1600 votes. How many votes were cast in all?
Winning margin = 60% − 40% = 20% of the valid votes.
Valid votes = 1600 ÷ 15 = 8000.
Total votes = 8000.
The cost price of 17 articles equals the selling price of 12 articles. Find the profit percentage.
Let each article cost Rs. 1. Selling 12 articles brings Rs. 17, so SP per article = 1712.
Profit = 41 23%.
The price of sugar rises by 50%. By what percentage must a family cut its consumption to keep its spending the same?
Spending = price × quantity. New price factor = 32, so quantity must become 60047995031606619007199254740992 of the old.
Cut = 30023997515803319007199254740992 = 33.333%.
A shopkeeper marks goods 40% above cost and allows a discount of 10%. What is the profit percentage?
Take cost = 100. Marked price = 140; selling price = 140 × 910 = 126.
Profit = 26%.
In an election between two candidates, every vote was valid. The winner got 58% of the valid votes and won by 800 votes. How many votes were cast in all?
Winning margin = 58% − 42% = 16% of the valid votes.
Valid votes = 800 ÷ 425 = 5000.
Total votes = 5000.
These are original practice questions written by Target Campus in the pattern, syllabus and difficulty of IPMAT Indore, IPMAT Rohtak, JIPMAT, NPAT and SET. They are not previous-year papers.
IPMPrep