A person sells 36 oranges per Rs., 1 and makes a loss of 4 % . Find how many oranges per Rs to be so

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7.Profit and Loss

hard

A person sells $36$ oranges per $Rs.\, 1$ and makes a loss of $4 \% .$ Find how many oranges per $Rs$ to be sold to have a gain of $8 \% ?$

A

$\frac{1}{32}$

B

$5$

C

$\frac{1}{16}$

D

None of these

Solution

We have,

$S.P _{1}=$ Selling price of one orange $=₹ \frac{1}{36}$

$x=-4, y=8$

Using the formula, $\frac{ S.P _{1}}{100+x}=\frac{ S.P _{2}}{100+y}$

we get, $\frac{1 / 36}{100-4}=\frac{ S.P. _{2}}{100+8} \Rightarrow S.P _{2}=\frac{108}{96} \times \frac{1}{36}=\frac{1}{32}$

Standard 13

Quantitative Aptitude

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