A vendor sells oranges at ₹29 each and incurs a loss of 75%. If he wants to make a profit of 75%, at what price (in ₹) should he sell each orange?​

Correct option is C

Given:

Selling Price at 75% loss = ₹29

Required profit = 75%

Formula Used:

For Loss%: SP = $$CP \times \left(1 - \frac{\text{Loss\%}}{100}\right)$$​​

For Profit%:  SP = $$CP \times \left(1 + \frac{\text{Profit\%}}{100}\right)$$​​

Solution:

From first condition (75% loss):

29 = $$CP \times \left(1 - \frac{75}{100}\right) = CP \times 0.25$$​​

CP = $$\frac{29}{0.25}$$​ = ₹116

Now, to gain 75%:

SP = $$116 \times \left(1 + \frac{75}{100}\right)$$​ = $$116 \times 1.75$$​ = ₹203