Questions & Answers

Question

Answers

A) Rs. 4

B) Rs. 6

C) Rs. 8

D) Rs. 10

Answer
Verified

As we know that there are 12 bananas in 1 dozen.

Then, calculate the total number of bananas by multiplying 12 with 40.

Hence, $12 \times 40 = 480$ bananas cost Rs. 250.

We want to find the selling price (S.P.) of the when profit is 20%

Then, $\text{SP} = \dfrac{\text{CP} \times \left( 100+ \text{profit %} \right)}{100}$

$

{\text{SP}} = \dfrac{{{\text{250} \times }\left( {{\text{100 + 20}}} \right)}}{{{\text{100}}}} \\

\Rightarrow {\text{SP}} = \dfrac{{250 \times \left( {120} \right)}}{{100}} \\

\Rightarrow {\text{SP}} = 300 \\

$

But, 30 bananas were rotten, hence the number of good bananas are $480 - 30 = 450$

That is, 450 bananas are sold at the rate of Rs. 300

Now, we will calculate the price of 1 banana by dividing the total cost by the number of bananas to be sold.

$\Rightarrow \dfrac{{300}}{{450}}$

Next, multiply the price of 1 banana with 12 to find the price of 1 dozen bananas.

Thus,

$\Rightarrow \dfrac{{300}}{{450}} \times 12 = 8$

Therefore, bananas should be sold at the rate of Rs. 8 per dozen in order to gain a profit of 20%.