Question
‘A’ invested Rs. 3500 in a business. ‘B’ joined
x months later with an investment of Rs. 2500. If at the end of the year, B’s share in the profit is Rs. 2800 out of a total profit of Rs. 8400, find the value of x.Solution
According to the question,
(3500 × 12) : {2500 × (12 – x)} = (8400 – 2800) / 2800
Or, 42000 : {2500(12 – x)} = 5600 / 2800
Or, 42000 : {2500(12 – x)} = 2 : 1
So, 42000 × 1 = 2 × 2500(12 – x)
42000 = 5000(12 – x)
42000 = 60000 – 5000x
5000x = 60000 – 42000
5000x = 18000
x = 3.6 months
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