Harish, a dealer, purchases a microwave oven for Rs. 11,400. He allows a discount of 32% on its marked price and still gains 15%. What is the marked price (in Rs.) of the microwave oven? (Round off to the nearest Rs.)

Correct option is A

Given:
Cost Price (C.P.) of microwave = ₹11,400
Discount = 32%
Profit = 15%
Formula Used:
​$$\text{Marked Price (M.P.)} = \frac{\text{Selling Price (S.P.)}}{1 - \text{Discount\%}}\\ \text{Selling Price (S.P.)} = \frac{\text{Cost Price (C.P.)}}{1 + \text{Profit\%}}$$​​
Solution:
​$$\begin{align*}\text{Selling Price (S.P.)} &= 11400 \times \left(1 + \frac{15}{100} \right) \\&= 11400 \times 1.15 \\&= ₹13,110 \\\text{Marked Price (M.P.)} &= \frac{13110}{1 - \frac{32}{100}} \\&= \frac{13110}{0.68} \\&= ₹19,279\end{align*}$$ 
Alternate Solution: 

Let the Cost Price (C.P.) = ₹100

So, Selling Price (S.P.) at 15% Profit = 100 + 15 = ₹115

Now, 32% discount is allowed on Marked Price (M.P.) to get the S.P.

So, Selling Price = M.P. × $$(1 - \frac{32}{100}) = M.P. × 0.68$$​​

115 = M.P. × 0.68

M.P. = $$\frac{115}{0.68}$$​ = ₹169.12

Now, if C.P. ₹100 → M.P. ₹169.12

Then, if C.P. ₹11,400 → M.P. = $$\frac{169.12 × 11400}{ 100} = ₹19,268.68$$​​

After rounding off, Marked Price = ₹19,279