Percentage profit and loss- 2024 intermediate

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?

• 24

• 18

• 27

• 32

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?

• 1. 10% to 28%

• 1. 10% to 25%

• 1. 10% to 25%

• 1. 10% to 43%

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?

• 1. 30% ≤ x ≤ 40%

• 1. 32.5% ≤ x ≤ 42%

• 1. 33.33% ≤ x ≤ 40%

• 1. 32.25% ≤ x ≤ 40%

A earns 25% more than B. C earns 25% more than A. A earns 20% more than D. E earns 20% more than A. A, B, C, D, and E earn integer amounts less than Rs. 100. What is the total amount earned by all five of them put together?

• 1. Rs. 300

• 1. Rs. 245

• 1. Rs. 305

• 1. Rs. 480

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

• 1. 50%

• 1. 62%

• 1. 75%

• 1. 37%

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?

• 1. 160% , A got Rs.40 more than D

• 1. 80% , A got Rs.20 more than D

• 1. 175% , A got Rs.50 more than D

• 1. 150% , A got Rs.35 more than D

A is x% less than B, A is y% less than C. C is k% more than B. Express k in terms of x and y.

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?

• 1. 25%

• 1. 33.33%

• 1. 40%

• 1. 20%

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?

• 1. 33.33%

• 1. 40%

• 1. 25%

• 1. 60%

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 non-zero profit, find x.

• 1. 25%

• 1. 12.5%

• 1. 37.5%

• 1. 40%