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A and B start a business. Sum invested by B is half of that invested by A. Nine months after the start of the business, B completely withdraws from the business and C joins the business with Rs. 9000. If the total annual profit earned was Rs. 27000 and C earned Rs. 5000 as his share from the profit, what was A's initial investment?

A and B start a business. Sum invested by B is half of that invested by A. Nine months after the start of the business, B completely withdraws from the business and C joins the business with Rs. 9000. If the total annual profit earned was Rs. 27000 and C earned Rs. 5000 as his share from the profit, what was A's initial investment? Correct Answer Other than those given as options

GIVEN:

Sum invested by B is half of that invested by A.

Nine months after the start of the business, B completely withdraws from the business and C joins the business with Rs. 9000.

CONCEPT:

Partnership concepts.

FORMULA:

Profit ratio = Invested amount × Time

CALCULATION:

Suppose sum invested by A = Rs. X

⇒ Sum invested by B = Rs. 0.5X

Investment by C = Rs. 9000

A invested for 12 months, B invested for 9 months and C invested for 3 months.

⇒ Ratio in which the profit will be shared among A, B and C

= : :

= 12X : 4.5X : 27000

= 8X : 3X : 18000

According to the question,

× 27000 = 5000

⇒ 11X + 18000 = 97200

⇒ 11X = 792000

⇒ X = 7200

∴ A's initial investment = Rs. 7200

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