Question

A merchant sold an article at 10% loss. If he had sold it Rs 450 more, 8% would have been gained on the cost price. Find the cost price?

Answer 1

1x-0.8x=450

0.2x=450

x=2250

Answer 2

Answer:

The cost price is 2500.

Step-by-step explanation:

Let the cost price be x

Since, Merchant sold the article at 10% loss

So, the selling price of cycle = x - 10x / 100 = 9x / 10

Now According to the question,

If he had sold it Rs 450 more, 8% would have been gained on the cost price, that is ,

Selling Price + 450 = Cost Price + 8 % profit  on Cost Price

$\frac{9x}{10}$ + 450 = x + $\frac{8x}{100}$

$\frac{9x + 4500}{10}$  = $\frac{108x}{100}$  

9x + 4500 = $\frac{108x}{10}$  

Multiplying by 10 on both the sides,

90x + 45000 = 108x

108x - 90x = 45000

18x = 45000

x = 45000 / 18

x = 2500

Hence,

The cost price is 2500.