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P and Q invests Rs. 400 and Rs. 300 into a partnership respectively. After 5 months, P added Rs. 100 to his investment. After 4 months, P removes double the amount he added to his investment after 5 months and Q removes the same amount P added after 5 months. If the profit share of Q is Rs.429 then what is  the total profit they had in a year?

P and Q invests Rs. 400 and Rs. 300 into a partnership respectively. After 5 months, P added Rs. 100 to his investment. After 4 months, P removes double the amount he added to his investment after 5 months and Q removes the same amount P added after 5 months. If the profit share of Q is Rs.429 then what is  the total profit they had in a year? Correct Answer Rs. 1066

Investment of P = 400 × 5 + 500 × 4 + (500 – 2 × 100) × 3 = Rs.4900

Investment of Q = 300 × 9 + (300 – 100) × 3 = Rs.3300

Ratio of their profit = 4900 : 3300 = 49 : 33

∴ Total profit they had in year = 429 × 82/33 = Rs.1066

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