Find the profit \% if you buy bananas at the rate of Rs. 10 dozen and sell them at the rate of 10 bananas at R

Question

Find the profit \% if you buy bananas at the rate of Rs. 10 dozen and sell them at the rate of 10 bananas at Rs. 12?

Accepted Answer

Let's find the Cost Price (CP) and Selling Price (SP) per banana:1 dozen = 12 bananas.

CP of 12 bananas = Rs. 10 ⟹ CP of 1 banana = \frac{10}{12} = Rs. \frac{5}{6}

SP of 10 bananas = Rs. 12 ⟹ SP of 1 banana = \frac{12}{10} = Rs. \frac{6}{5}

Now, compute the profit percentage:

Profit = SP - CP = \frac{6}{5} - \frac{5}{6} = \frac{36 - 25}{30} = \frac{11}{30}

Profit % = (\frac{Profit}{CP} \times 100) % = (\frac{\frac{11}{30}}{\frac{5}{6}} \times 100) % = (\frac{11}{30} \times \frac{6}{5} \times 100) % = (\frac{11}{25} \times 100) % = 44%

Find the profit $%$ if you buy bananas at the rate of Rs. 10 dozen and sell them at the rate of 10 bananas at Rs. 12?