Question
Download Solution PDFPerson A started a business by investing Rs. 65,000. 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 profit as his share. For how many months did A alone finance the business?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Person A started a business by investing Rs. 65,000.
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.
A got 50% of profit as his share.
Formula used:
Profit ratio = Investment1 × Time1 : Investment2 × Time2 : ........... Investmentn × Timen
Calculation:
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
⇒ 156/(156 + 120 - 10x + 99 - 11x) = 1/2
⇒ 312 = 375 - 21x
⇒ 21x = 63
⇒ x = 3 month
∴ A alone finance the business for 3 month.
Last updated on Jun 13, 2025
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