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Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose from the possible answers. Quantity A: The population of a company was 20000 three years ago. It is increased by 5%, 10% and N% respectively in the last three years. If the present population of the company is 24948, then the value of N is: Quantity B: A trader purchased 70 quantities of similar bags at a rate of Rs. 275 each. He fixed the marked price of each bag at Rs. 330 and allowed a discount of 10% on the marked price. What is the percentage profit?

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose from the possible answers. Quantity A: The population of a company was 20000 three years ago. It is increased by 5%, 10% and N% respectively in the last three years. If the present population of the company is 24948, then the value of N is: Quantity B: A trader purchased 70 quantities of similar bags at a rate of Rs. 275 each. He fixed the marked price of each bag at Rs. 330 and allowed a discount of 10% on the marked price. What is the percentage profit? Correct Answer Quantity A = Quantity B or no relation

Quantity A:

Population of company = 20000

Population after three years = 24948

Then,

⇒ 24948 = 20000 × (1 + 5/100) × (1 + 10/100) × (1 + N/100)

⇒ 24948 = 20000 × 105/100 × 110/100 × (100 + N)/100

⇒ 100 + N = 108

⇒ N = 8

In the third year, population is increased by 8%.

Quantity B:

Cost price of 70 bags = 70 × 275 = Rs. 19250

Marked price of a bag = 330

Selling price of a bag = 330 – 330 × 10/100 = 297

Selling price of 70 bags = 70 × 297 = Rs. 20790

Profit percentage,

⇒ (20790 – 19250)/19250 × 100

⇒ 8%

Profit percentage = 8%

∴ From above, Quantity A = Quantity B is established.

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