85% of the total profit is divided in the ratio 2 : 10 : 5. 85% of total profit = 2x + 10x + 5x = 17x Total profit = (17x / 85% ) Share of Ram in the profit = 2x + 15% of 20x =2x+ 3x= 5x Share of Shyam in the profit = 10x Share of Ghanshyam in the profit = 5x Now, (10x + 5x) - 5x = 500 10x = 500 =>x = 50 ∴ Total profit = 20 x 50 = Rs.1000.
C.P. of goods for the trader = Rs.22520 S.P. = 125 x 22520 = Rs.28150 ∴ Profit = Rs.5630 Now, 5630 = 0.0536 x 5000 + 0.085 x 10000 + (x/100)* 7520 =>5630 =268 - 850 + 75.2x =>75.2x = Rs.4512, which is nothing but profit from sale of third lot.
Explanation : Profit or loss of the sale depends upon how much profit the person is earning on the sale of two articles. If SP > CP of 1 article, there is a profit. If SP < CP of 1 article, there is a loss. If SP = CP of 1 article, there is not profit no loss. Thus, only (c) is true.