Question

If a person sells two articles of same cost price, one at a gain of 17% and the other at
a loss of 17%, then what % loss seller incurs?
(A) 0% (B) 34% (C) 2.89% (D) Any other

Answer 1

Answer:

0%

Step-by-step explanation:

If he has two articles of same cost price and one articles gave him profit of 17% and the other a loss of 17% which just means that the only loss he had was losing the profit..

He had neither profit nor loss

Answer 2

Assume we have articles A and B and they have a selling price S.

Let's find the original price of each one.

A: 117% cost

$\sf{\implies Original\:Price\:Of\:A=\dfrac{100}{117} S}$

B: 83% cost

$\sf{\implies Original\:Price\:Of\:B=\dfrac{100}{83} S}$

Let's calculate the loss/profit percentage.

$\sf{\dfrac{S+S}{\dfrac{100}{117} S+\dfrac{100}{83} S}}$

$\sf{=\dfrac{2S}{\dfrac{11700+8300}{117\times83} S} }$

$\sf{=2S\times\dfrac{9711}{20000S}}$

$\sf{=\dfrac{9711}{10000} }$

$\sf{=97.11(\%)}$

The original price is 100%.

But, it is lesser than 100%.

So, it is a loss and the percentage is 2.89%.