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Given below are two quantities named A and B. Based on the given information, you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: A started a business with a capital of Rs. 20000 and admitted B and C after 4 months and 6 months respectively. At the end of the year, they divided the profit in the ratio 15 : 4 : 6. What is the difference between the capitals invested by B and C? Quantity B: Rs 8000

Given below are two quantities named A and B. Based on the given information, you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: A started a business with a capital of Rs. 20000 and admitted B and C after 4 months and 6 months respectively. At the end of the year, they divided the profit in the ratio 15 : 4 : 6. What is the difference between the capitals invested by B and C? Quantity B: Rs 8000 Correct Answer Quantity A = Quantity B or No relation

GIVEN:

A's capital = Rs 20000

B joined after 4 months 

C joined after 6 months

Profit ratio = 15 : 4 : 6

CONCEPT:

Profit is divide in the ratio of capital ×  time period.

CALCULATION:

Let amount of B and C be x and y respectively. 

A's investment = 20000 × 12 = 240000

B's investment = x × 8 = 8x 

C's investment = y × 6 = 6y

A.T.Q

15 ratio = 240000

∴ 4 ratio = 240000/15 × 4 = 64000

B's starting capital = 64000/8 = 8000

Also, 3 ratio = 240000/15 × 6 = 96000 

C's starting capital = 96000/6 = 16000

required difference = 16000 - 8000 = 8000

∴ Quantity A = Quantity B

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