Question

A watch is sold at 5% loss. If the cost price had been 20% more and selling price Rs. 115 less, there would have been 40% loss. What is the cost price?

Answer 1

Answer:

the cost price will be Rs 100

Answer 2

Answer:

500 Rs.

Step-by-step explanation:

Let the cost price is x.

Now, given that the watch is sold at a 5% loss.

So, the selling price is x[1-(5/100)]=0.95x.

It is given that if the cost price is 20% more and the selling price is 115 Rs, less then it will be a loss of 40%.

Now, 20% more cost price =x[1+(20/100)]=1.2x and selling price 155 Rs, less means it is 0.95x-115.

Hence, $\frac{1.2x-(0.95x-115)}{1.2x}=\frac{40}{100}$

⇒ 0.25x+115 =0.48x

⇒0.23x=115

⇒ x= 500.

Therefore, the cost price is 500 Rs. (Answer)