Question
'A' and 'C' started a business by investing Rs. 11,000
and Rs. 13,000, respectively. Seven months later, they invited 'B' to join the business who invested Rs. 'R'. If at the end of the year, the profits were divided among 'A', 'C', and 'B' in a ratio of 5:5:2, respectively, then find the value of 'R' in terms of 'P' given that 'P' = 1,500.Solution
ATQ, Given:
A invests ₹11,000 for 12 months = 11,000×12 = 132,000 C invests ₹13,000 for 12 months = 13,000×12 = 156,000 B invests Rs.'R' for 5 months = 5R Profit ratio is A : C : B = 5 : 5 : 2 Now, by using ratio of profit to set equation
132,000 : 156,000 : 5R = 5 : 5 : 2 Make A and C equal to match 5:5 = adjust C to 132,000 Now:
132,000:132,000:5R = 5:5:2 = 5R/132,000 = 2/5 5R = 2/5 × 132000 = 52,800 R = 10,560 Therefore, B should invest ₹10,560 to get a 2-part
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