Question

Anchal, Bhavana, and Chetna commenced a business with initial investments of Rs. 15000, Rs. 12000, and Rs. 18000, respectively. They agreed that 'p' % of the total profit would be allocated to a child care foundation, and the remaining would be divided among them based on their investment ratios. If the total profit at the end of the year was Rs. 46875 and Bhavana received Rs. 10000, determine the value of 'p'.

A 25 Correct Answer Incorrect Answer
B 35 Correct Answer Incorrect Answer
C 42 Correct Answer Incorrect Answer
D 20 Correct Answer Incorrect Answer
E none of these Correct Answer Incorrect Answer

Solution

ATQ, Ratio of the investments of ‘Anchal’, ‘Bhavana’ and ‘Chetna’ = 15000:12000:18000 = 5:4:6 Amount to be divided among them = Rs. {46875 × (100 - p)/100} ATQ, {46875 × (100 - p)/100} × (4/15) = 10000 Or, 100 – p = 10000 × 100 × (15/4) × (1/46875) Or, 100 – P = 80 Or, P = 20

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