Percentages, Fractions, Ratio Sample Questions, Answers

Percentages, fractions questions that appear in PGSEM, XAT, CAT, TANCET

A collection of questions that typically appear from the topics of percentages, fractions in Indian Business Schools entrance tests. Usually one to two questions appear testing this basic concept.

1. Question 1 »  If the price of petrol increases by 25% and Raj intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased? Answer and Explanation » |
   
   
2. Question 2 »  A shepherd has 1 million sheeps at the beginning of Year 2000. The numbers grow by x% (x > 0) during the year. A famine hits his village in the next year and many of his sheeps die. The sheep population decreases by y% during 2001 and at the beginning of 2002 the shepherd finds that he is left with 1 million sheeps. Which of the following is correct? Answer and Explanation »
   
   
3. Question 3 » In an election contested by two parties, Party D secured 12% of the total votes more than Party R. If party R got 132,000 votes, by how many votes did it lose the election? Answer and Explanation »
   
   
4. Question 4 »  A candidate who gets 20% marks fails by 10 marks but another candidate who gets 42% marks gets 12% more than the passing marks. Find the maximum marks. Answer and Explanation »
   
   
5. Question 5 »  When processing flower-nectar into honeybees' extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 50% water, and the honey obtained from this nectar contains 15% water? Answer and Explanation »
   
   
6. Question 6 »  A vendor sells 60 percent of apples he had and throws away 15 percent of the remainder. Next day he sells 50 percent of the remainder and throws away the rest. What percent of his apples does the vendor throw? Answer and Explanation »
   
   
7. Question 7 »  If the cost price of 20 articles is equal to the selling price of 16 articles, What is the percentage of profit or loss that the merchant makes? Answer and Explanation »
   
   
8. Question 8 »  30% of the men are more than 25 years old and 80% of the men are less than or equal to 50 years old. 20% of all men play football. If 20% of the men above the age of 50 play football, what percentage of the football players are less than or equal to 50 years? Answer and Explanation »
   
   
9. Question 9 »  If the price of petrol increases by 25%, by how much must a user cut down his consumption so that his expenditure on petrol remains constant? Answer and Explanation »
   
   
10. Question 10 »  Peter got 30% of the maximum marks in an examination and failed by 10 marks. However, Paul who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What was the passing marks in the examination? Answer and Explanation »
    
    
11. Question 11 »  40% of 70 is x% more than 30% of 80. Find x. Answer and Explanation »
    
    
12. Question 12 »  John weighs twice as much as Maria. Marcia's weight is 60% of Bob's weight. Dave weighs 50% of Lee's weight. Lee weighs 190% of John's weight. Which of these 5 persons weighs the least? TANCET 2008 : Answer and Explanation »
    
    
13. Question 13 »  Tina, Mina, Gina, Lina and Bina are 5 sisters, aged in that order, with Tina being the eldest. Each of them had to carry a bucket of water from a well to their house. Their buckets' capacities were proportional to their ages. While returning, equal amount of water got splashed out of their buckets. Who lost maximum amount of water as a percentage of the bucket capacity? XAT 2012 - 1 Mark : Answer and Explanation »