Question

On selling a sofa-set for 21600,a dealer gains 8%.for how much did he purchase it?

Answer 1

Answer:

The Cost Price of the sofa is Rs.20,000.

Step-by-step explanation:

Given :

Sold the sofa set at = Rs. 21600

Gain % = 8 %

To find :

Cost at which he purchased it

Solution :

Here :

• Selling Price = 21600
• Gain % = 8 %
• Cost Price = ??

$\bigstar\:{\boxed{\sf\:{CP = \frac{100}{(100 + profit\%)} \times SP}}}$

$\sf{\implies}\:{CP = \dfrac{100}{(100 + 8)} \times 21600} \\ \\ \sf{\implies}\:{CP = \dfrac{100}{108} \times 21600} \\ \\ \sf{\implies}\:{CP = \dfrac{2160000}{108}} \\ \\ \sf{\implies}\:{CP = 20000}$

Cost Price = Rs. 20,000

$\therefore$ The Cost Price of the sofa is Rs.20,000.