This practice test consists of percentage problems which are part of the CAT Quantitative section.

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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?

(3) 75

(2) 250

(1) 35

(4) 85

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?

(4) None of these

(3) 3.33 kgs

(1) 1.5 kgs

(2) 1.7 kgs

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?

(1) 20% Profit

(3) 25% Profit

(4) 33.33% Loss

(2) 25% Loss

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?

(4) 24,000

(3) 36,000

(2) 168,000

(1) 300,000

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?

4. Cannot be determined

3. x = y

1. x > y

2. y > x

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?

4. 6.67%

2. 12%

1. 10%

3. 8%

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.

(2) 100

(1) 50

(3) 150

(4) 200

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?

(2) 23

(1) 17

(3) 77

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?

(4) 70%

(1) 15%

(3) 80%

(2) 20%

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?

(3) 20%

(2) 16.67%

(1) 25%

(4) 33.33%

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