By selling 50 mangoes for Rs.30, a person loses 10%. How many mangoes should he sell for Rs.28 to gain 20%?

Correct option is A

Given:

Selling price of 50 mangoes = Rs.30

Loss percentage = 10%

Selling price for Rs.28 to gain 20%.

Formula Used:

Loss % = $$\frac{\text{CP - SP}}{\text{CP}} \times 100$$​​

Solution:

Find CP per mango:
Selling price for 50 mangoes = Rs.30,

so SP per mango = $$\frac{30}{50} ​= 0.6.$$​​

CP per mango = $$\frac{0.6}{1 - \frac{10}{100}} = \frac{0.6}{0.9} = 0.6667 \, \text{Rs.}$$​​

SP per mango for 20% gain = $$0.6667 \times 1.2 = 0.8 \, \text{Rs.}$$​​

Number of mangoes = $$\frac{28}{0.8}$$​ = 35

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