Question

If the selling price of an article is doubled, then its loss percentage gets converted into the equal profit percentage. What is the loss percentage?​

Answer 1

Answer:

Correct Answer:

C) 3313

Description for Correct answer:

Let SP = Rs. x

According to question,

(CP−xCP)×100=(2x−CPCP)×100

CP - x = 2x - CP

3x = 2CP

x=23CP

SP =23CP

SPCP=23>1 unit loss

loss % =13×100=3313%

Answer 2

Dear Student,

● Answer -

Loss % = 33.33 %

● Explanation -

Let x be cost price and y be selling price.

Loss % = (x-y)/x

On doubling selling price -

Profit % = (2y-x)/x

Given that -

Loss % = Profit %

(x-y)/x = (2y-x)/x

x - y = 2y - x

x + x = 2y + y

2x = 3y

y = 2x/3

So now,

Loss % = (x - 2x/3) / x

Loss % = (x/3) / x

Loss % = 1/3 × 100 %

Loss % = 33.33 %

Hence, the loss percentage is 33.33 %.

Thanks dear. Hope this helps you...