If mangoes are bought at 6 for Rs. 5 and sold at 5 for Rs. 6. What is the gain percent?

A 44 %

B 20%

C 25%

D 16.66%

E None of the above

Correct Answer: Option A

The mangoes are bought at the rate of 6 for Rs 5 and sold at the rate of 5 for Rs 6 .Let the number of mangoes purchased be, LCM of 6 and 5 = 30

Cost price (CP) of 30 mangoes \(= \frac{{30\; \times \;5}}{6} = 25\;Rs\)

Selling price (SP) of 30 mangoes \(= \frac{{\left( {\;30\; \times \;6} \right)}}{5} = 36\;Rs.\)

Loss or gain percent \(= \frac{{\left| {\;CP - SP} \right|}}{{CP}} \times 100\;\%\)

Since CP < SP, hence there is a gain.

Gain percent \(= \;\frac{{36 - 25}}{{25}}\; \times \;100\; = \;\frac{{11}}{{25}}\; \times \;100\; = \;44\;\%\)