Sohan sells 36 oranges per rupee and suffers a loss of 1%. Find how many oranges per rupee to be sold to have a gain of 8%

A 30

B 31

C 32

D 33

E None of these

Solution

Correct Answer: Option D

S.P of 36 oranges is Rs. 1

Then, S.P of 1 orange = 1/36

Loss % = 1%

Let C.P of 1 orange be x

⇒ \(\frac{{99x}}{{100}} = \frac{1}{{36}}\)

⇒ \(x = \frac{{100}}{{36 \times 99}}\)

Now, to make profit of 8%

He should sell 1 orange at

\(\frac{{108 \times 100}}{{36 \times 99 \times 100}} = \frac{1}{{33}}\)

Hence, Sohan has to sell 33 oranges in one rupee to get a profit of 8%.

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