| A merchant buys p apples for Rs. q and sells q apples for Rs. p. If p < q, then in the whole outlay, he makes |
A) \[100\,\,\left( \frac{{{p}^{2}}+{{q}^{2}}}{{{q}^{2}}} \right)\]% gain
B) \[100\,\,\left( \frac{{{q}^{2}}-{{p}^{2}}}{{{q}^{2}}} \right)\]% loss
C) \[100\,\,\left( \frac{{{p}^{2}}+{{q}^{2}}}{{{p}^{2}}} \right)\]% loss
D) \[100\,\,\left( \frac{{{q}^{2}}-{{p}^{2}}}{{{p}^{2}}} \right)\]% gain
Correct Answer: B
Solution :
| When p < q, then the person has loss which is given by |
| \[100\left( \frac{{{q}^{2}}-{{p}^{2}}}{{{q}^{2}}} \right)\]% loss |
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