Question

A vendor marks up the original cost price of an article by 30%. Sita buys this
article from the vendor after getting a discount of 10%. Sita then sells the
article to Gita at the original cost price. What is Sita's loss percentage?
Pick ONE option
A) 14.53%
B) 12.33%
C) 17%
D) 18.33%
​

Answer 1

Sita's loss percentage is 14.53%

Therefore, option (A) is correct.

Step-by-step explanation:

Let the original cost price be X Rs.

Then marked price = X +30X/100 = X + 0.3X = 1.3X Rs.

Vendor sold the article to Sita after giving 10% discount on this price

Therefore, Sita bought it for = 1.3X - (1.3X × 10)/100 = 1.3X - 0.13X = 1.17X

Sita sold the article to Gita at price = X

Loss % of Sita

$=\frac{X-1.17X}{1.17X}\times 100$

$=-\frac{0.17}{1.17}\times 100$     (negative sign indicates loss)

$=14.53\%$

Hope this answer is helpful.

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