Question

Oranges are bought at 11 for Rs.10 and an equal number more at 12 for Rs.10. If these are sold at 1 for Rs.1, then find the loss or gain percent.

Answer 1

Let x oranges be bought at 11 for Rs.10 and an equal number x be bought at 12 for Rs.10 Then the total C.P. of (x + x) = 2x oranges
$=Rs.(\frac{10x}{11}+\frac{10x}{12})=Rs.10x(\frac{1}{11}+\frac{1}{12})=10\times \frac{23}{132}=Rs.\frac{115x}{66}$
Total S.P. of 2x oranges = Rs.2x $\therefore$ Profit = S.P. - C.P.
=$(2x-\frac{115x}{66})=\left(\frac{(132-115)x}{66}\right)=Rs.\frac{17x}{66}$
$\therefore$ Profit percent = $\frac{17x}{66}\times \frac{66}{115x}\times 100=\frac{340}{23}$
Hence his profit $=14\frac{18}{23}\%$