​A shopkeeper purchased a machine for ₹70,000 and spent ₹5,000 as overhead expenditure. Had he purchased the machine at 15% less, he would have earned a profit of 15%. What is the selling price of the machine?​

Correct option is D

Given:

Cost price of the machine = ₹70,000

Overhead expenditure = ₹5,000

Discount on the machine = 15%

Profit percentage (if purchased at a discount) = 15%

Formula used:

$$\text{Selling Price} = \text{Cost Price} \times \left( 1 + \frac{\text{Profit} \%}{100} \right)$$​​

$$\text{Profit \%} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100$$​

Solution:

Cost price =  70,000

Total cost price = 70,000 + 5,000 = 75,000

(If purchased at 15% less)

New cost price $$= 70,000 - \left( \frac{15}{100} \times 70,000 \right)$$​

New cost price = 70,000 - 10,500

New cost price = 59,500

Adding overhead costs:

Final new CP = 59,500 + 5,000 = 64,500

Selling price = $$64,500 + \left(\frac{15}{100} \times 64,500\right)$$​
Selling price = 64,500 + 9,675

Selling price = 74,175

So, the selling price of the machine ₹74,175.

Thus, the correct answer is (d).