Practicing Success
Person A started a business by investing ₹65,000. After a few months, B joined him by investing ₹50,000. Three months after the joining of B, C joined the two with an investment of ₹55,000. At the end of the year, A got 50% of profit as his share. For how many months did A alone finance the business? |
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3 |
Let B invest the amount after x months A invest for 12 month B invest for (12 - x) ⇒ (12 - x) months Three months after the joining of B, C joined the two with an investment of Rs. 55,000. C invest for (12 - x - 3) ⇒ (9 - x) Profit share = A : B : C Profit share = 65,000 × 12 : 50,000 × (12 - x) : 55,000 × (9 - x) ⇒ 156 : 10(12 - x) : 11(9 - x) A got 50% of profit as his share ⇒ \(\frac{156}{(156 + 120 - 10x + 99 - 11x)}\) = \(\frac{1}{2}\) ⇒ 312 = 375 - 21x ⇒ 21x = 63 ⇒ x = 3 month |