CAT Math Practice Questions - Percents, Profits


Question 1:

A merchant can buy goods at the rate of Rs. 20 per good. The particular good is part of an overall collection and the value is linked to the number of items that are already on the market. So, the merchant sells the first good for Rs. 2, second one for Rs. 4, third for Rs. 6…and so on. If he wants to make an overall profit of at least 40%, what is the minimum number of goods he should sell?

Explanation

Question 2:

P is x% more than Q. Q is (x - 10)% less than R. If P > R, what is the range of values x can take?

Explanation

Question 3:

An alloy of copper and aluminum has 40% copper. An alloy of Copper and Zinc has Copper and Zinc in the ratio 2: 7. These two alloys are mixed in such a way that in the overall alloy, there is more aluminum than Zinc, and copper constitutes x% of this alloy. What is the range of values x can take?

Explanation

Question 4:

Traders A and B buy two goods for Rs. 1000 and Rs. 2000 respectively. Trader A marks his goods up by x%, while trader B marks his goods up by 2x% and offers a discount of x%. If both make the same profit, find x.

Explanation

Question 5:

A is x% more than B and is x% of sum of A and B. What is the value of x?

Explanation

Question 6:

A, B, C and D share a loot. A gets a% of the total. B gets b% of the remaining (after A has taken his share). C gets c% of the remaining and D gets the rest. D gets a% less than what A gets, B and C get equal amounts. b = 2a.

  1. What percentage of what A got did C get?
  2. If the total amount is equal to Rs. 1000, what is the difference between what A got and what D got?
Explanation

Question 7:

In a class, if 50% of the boys were girls, then there would be 50% more girls than boys. What percentage of the overall class is girls?

Explanation

Question 8:

Class B has 50% more students than class A. Number of girls in class A is equal to number of boys in class B. The percentage of girls is the same in both classes. What percentage of the student group are boys?

Explanation

Question 9:

a is x % of b, b is x% more than a. Find x?

Explanation

Question 10:

A two digit number ab is 60% of x. The two-digit number formed by reversing the digits of ab is 60% more than x. Find x?

Explanation

Question 11:

A is x % more than B. B is y% less than C. If A, B and C are positive and A is greater than C, find the relation between x and y.

Explanation





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