Akshay invested Rs 24 000 in a business After few months Bikash joined with a capital of Rs 18 000 A...........

Quantitative Aptitude (SBI-PO) Partnership

Akshay invested Rs. 24,000 in a business. After few months Bikash joined with a capital of Rs. 18,000. After a year, profit is divided into ratio 16 : 7. After how many months, did Bikash join the business?

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SBI PO Prelims

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3 months

4 months

5 months

6 months

7 months

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Explanation:

⇒ Assume, that Bikash joined after x months.
⇒ Profit is divided in the ratio of the product of capital invested and the time for which it is invested.
⇒ Product of investment and time for Ashay = 24000 × 12
⇒ Product of investment and time for Bikash = 18000 x (12-x)
⇒ (216000 - 18000x)/288000 = 7/16
⇒(216-18x)/288 = 7/16
⇒3456-288x = 2016
⇒x=5