Question

'Ashish' started a business by investing Rs.15,000. 'm' months later, 'Arjun' joined him by investing Rs. 10,000. 4 months after joining the business, 'Arjun' increased his investment by Rs. 2,500. If at the end of the year, the profits were divided between 'Ashish' and 'Arjun' in the ratio 2:1, individually, then find the value of 'm'.

A 2 Correct Answer Incorrect Answer
B 6 Correct Answer Incorrect Answer
C 4 Correct Answer Incorrect Answer
D 12 Correct Answer Incorrect Answer
E none of these Correct Answer Incorrect Answer

Solution

ATQ, we can say that Ratio of profit shares of 'Ashish' and 'Arjun' at the end of the year = (15000 × 12): [(m × 0) + (4 × 10000) + (12 - 4 - m) × 12500)] = 180000: [40000 + (8 - m) × 12500] = 180000: (140000 – 12500m) Then, [1800/(1400 - 125m)] = (2/1) Or, 900 = 1400 - 125m Or, 500 = 125m So, m = 4

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