P, Q and R invest sum in the ratio of 7 : 4 : 9 respectively. If they earned total profit of ₹ 6680 at the end of year, then what is the total share of P and Q together?
Ratio of investments = Ratio of profits = $$7 : 4 : 9$$
Let the profits of P, Q and R be $$Rs.7x, Rs.4x$$ and $$Rs.9x$$ respectively.
Total profit $$= Rs.7x+4x+9x = Rs.20x$$
Given, $$20x = 6680 => x = Rs.334$$
Then, Total share of P and Q together $$= Rs.7x+Rs.4x = Rs.11x = 11\times334 = Rs.3674$$
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