Person A started a business by investing Rs. 65000. After a few months, B joined him by investing Rs. 50,000. Three months after the joining of B, C joined the two with an investment of Rs. 55,000. At the end of the year, A got 50% of the profit as his share. For how many months did A alone finance the business?
Explanation:
Let B invests for ‘m’ months.
⇒ A invests Rs. 65,000 for 12 months, B invested Rs. 50,000 for m months, C invested Rs. 55,000 for (m – 3) months.
⇒ PA : PB : PC = 65000 × 12 : 50000 × m : 55000 × (m - 3)
⇒ PA : PB : PC = 156 : 10m : 11(m – 3)
Given, PA is 50% ⇒ 156 = 10m + 11(m - 3) ⇒ 156 = 21m – 33 ⇒ 189 = 21m ⇒ m = 9
⇒ B invested for 9 months, i.e., B joined 3 months after A started the business.
Hence, option (b).
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