Suhail purchased 400 purses and sold them at 25% profit. If $$37 \frac{1}{2}$$ % of them were sold at Rs. 75 each and rest for Rs. 52,520, then the cost price of each purse is: ​

Correct option is C

Given:

Total number of purses = 400

Profit made = 25%

37.5% of purses sold at ₹75 each

The rest of the purses (62.5%) were sold for ₹52,520

Solution:

Let the cost price of each purse be C.

The selling price of each purse = C$$\times (1 + \frac{25}{100}) = C \times$$​ 1.25.

Number of purses at ₹75 = 37.5$$\% \times 400 = \frac{37.5}{100} \times 400 = 150$$​

Revenue from ₹75 purses = 150$$\times 7$$​5 = 11,250

Revenue from the remaining purses = ₹52,520

Total revenue = 11,250 + 52,520 = 63,770
The total selling price is equal to the total number of purses multiplied by the selling price per purse (which includes the 25% profit).

Total selling price = 400 $$\times C \times$$​1.25 = 63,770

400 $$\times C \times$$​ 1.25 = 63,770

500C = 63,770

C =$$\frac{63,770}{500}$$​= 127.54

Thus, the cost price of each purse is ₹127.54.