A fruit seller bought 186 bananas at the rate of ₹ 72 per dozen. He found that 35 bananas were rotten and could not be sold. He sold the remaining bananas at the rate of ₹ 8 per piece. What is his percentage gain in the whole transaction?
(Correct to two places of decimal)

Correct option is C

Given:

Number of bananas bought = 186

Cost price per dozen = ₹72

Rotten bananas = 35

Selling price per banana = ₹8

Formula Used:

Total cost price (C.P.) = (Number of dozens) × (Cost price per dozen)

Total selling price (S.P.) = (Number of good bananas) × (Selling price per piece)

Gain = S.P. - C.P.

Percentage gain =$$\frac{{\text{Gain}}}{{\text{C.P.}}} \times 100$$​​

Solution:

The seller bought 186 bananas at ₹72 per dozen.

Number of dozens =$$\frac{{186}}{{12}} = 15.5$$​ dozens.

Total cost price =$$15.5 \times 72 = ₹1116$$​​

Number of good bananas = 186 - 35 = 151.

Selling price per banana = ₹8.

Total selling price = 1$$51 \times 8 = ₹1208$$​​

Gain = 1208 - 1116 = ₹92

Percentage gain =$$\frac{{92}}{{1116}} \times 100$$​= 8.24%.