Accountancy, asked by bhartigandhi686, 1 month ago

Investment of B is 25% more than that of A . A & B invested for 10 months and 6 months respectively. Another person C invested rs 2y in that business for last 8 months. Then find initial investment of B is what percent more or less than that of C if profit of C is twice of profit of B?

Answers

Answered by amishagoswami273

Explanation:

Given:

A invested 25% more than B

Investment of B is 25% less than C

Time period of investment of A is 10% less than time period of investment of B

Time period of investment of C is 20% more than time period of investment of B

Concept:

The ratio of A’s profit = invested amount of A × time period of A

Similarly, B and C will be.

Calculation:

Let, C’s investment be x

If the investment of C is x than investment of B = 25% less than C’s investment

⇒ (75/100) × x

⇒ 3x/4

If the investment of B is 3x/4 than investment of A = 25% more than B’s investment

⇒ (125/100) × 3x/4

⇒ (5/4) × 3x/4

⇒ 15x/16

Let B invest the amount for y months

If the time period of B is y months then time period of A = 10% less than B

⇒ (90/100) × y

⇒ 9y/10

If the time period of B is y months then time period of C = 20% more than B

⇒ (120/100) × y

⇒ 6y/5

Now the ratio of their profit they earned at the end of year

⇒ (the ratio of A’s profit ∶ the ratio of B’s profit ∶ the ratio of C’s profit)

⇒ (invested amount of A × time period of A) ∶ (invested amount of B × time period of B) ∶ (invested amount of C × time period of C)

⇒ (15x/16) (9y/10) ∶ (3x/4) (y) ∶ (x) (6y/5)

⇒ (27xy/32) ∶ (3xy/4) ∶ (6xy/5)

⇒ (27/32) ∶ (3/4) ∶ (6/5)

⇒ 135 ∶ 120 ∶ 192

⇒ 45 ∶ 40 ∶ 64

∴The ratio of their profit as they earned at the end of year is 45 ∶ 40 ∶ 64.

Answered by bhavadharani2625