Question
‘M’ invested Rs. 6000 in a business. ‘N’ joined
x months later with an investment of Rs. 5000. If at the end of the year, N’s share in the profit is Rs. 4000 out of a total profit of Rs. 12000, find the value of x.Solution
According to the question,
(6000 × 12) : {5000 × (12 – x)} = (12000 – 4000) / 4000
Or, 72000 : {5000(12 – x)} = 8000 / 4000
Or, 72000 : {5000(12 – x)} = 2 : 1
So, 72000 × 1 = 2 × 5000(12 – x)
72000 = 10000(12 – x)
72000 = 120000 – 10000x
10000x = 120000 – 72000
10000x = 48000
x = 4.8 months
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