400 apples were bought at Rs. 1210 per hundred and were sold at a profit of Rs. 860. Find the selling price (in Rs. ) per dozen of apples.

Correct option is C

Given:

The total number of apples = 400

The cost price of 100 apples = Rs. 1210

Profit = Rs. 860

We need to find the selling price per dozen apples.

Formula Used:

Total Cost Price = Number of apples × $$\frac{\text{Cost price per 100 apples}}{100}$$​​

Total Selling Price = Total Cost Price + Profit

Selling Price per dozen = $$\frac{\text{Total Selling Price}}{\text{Number of dozens}}$$​​

Solution:

The cost price for 100 apples is Rs. 1210, so for 400 apples:

Total Cost Price = $$\frac{400}{100} \times 1210 = 4 \times 1210 = 4840$$​​

The profit is Rs. 860, so the total selling price is:

Total Selling Price = 4840 + 860 = 5700

There are 12 apples in a dozen, and we have 400 apples, which equals $$\frac{400}{12}$$​ dozens

Selling Price per dozen = $$\frac{5700}{\frac{400}{12}} = 171$$​​

Thus, the selling price per dozen apples is Rs. 171.