Question

A showroom offers a $10\%$discount on a microwave, whose marked price is$₹8000$, and also gives a blender worth '$₹1200$‘ as a complimentary gift with it. Even then, the showroom earns a profit of’$20\%$'. The cost price per microwave is?

Answer 1

Step 1: Calculate the total discount:

$\Rightarrow$The shopkeeper is giving a'$10\%$‘ discount on the microwave and is also giving a blender worth ’$₹1200$' as a complimentary gift. So, the customer is getting both microwave and blender at the Selling Price of a microwave.

$\therefore$The total discount$=10\%\mathrm{of}8000+1200$

$=$$\frac{10}{100}\times 8000+1200$

$=800+1200=₹2000$

Step 2: Calculate the Selling Price(SP):

$\begin{array}{rcl}\therefore \mathrm{Selling}\mathrm{Price}\left(\mathrm{SP}\right)& =& \mathrm{Marked}\mathrm{Price}\left(\mathrm{MP}\right)-\mathrm{Discount}\\ & =& 8000-2000\\ & =& ₹6000\end{array}$

Step 3: calculate the Cost Price:

$\Rightarrow$The showroom earns a profit of 20%.

Cost Price(CP)$=\frac{100}{100+\mathrm{Profit}\%}\times \mathrm{SP}$

$$\begin{gathered} =\frac{100}{100+20}\times 6000 \\ =\frac{100}{120}\times 6000 \\ =₹5000 \end{gathered}$$

Therefore, the cost price of a microwave is $₹5000$