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A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg. What will be his gain percent ?

a) $$4\frac{1}{6}$$%
b) $$6\frac{1}{4}$$%
c) $$8\frac{1}{3}$$%
d) 20%

Answer: c
Explanation:
$$\eqalign{ & {\text{C}}{\text{.P}}{\text{. of 1 kg}} \cr & = {\text{Rs}}.\left( {\frac{{420}}{{70}}} \right) \cr & = {\text{Rs}}{\text{. }}6. \cr & {\text{S}}{\text{.P}}{\text{. of 1 kg}} \cr & = {\text{Rs}}{\text{. }}6.50. \cr & {\text{Gain}}\% = \left( {\frac{{0.50}}{6} \times 100} \right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{25}}{3}\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 8\frac{1}{3}\% \cr} $$

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