Question

selling price of 9 article is equal to the cost price of 15 article. find the gain or loss percent in the transation

Answer 1

Solutions :-


Given :

Selling price of 9 article is equal to the cost price of 15 article.


Find the LCM of 9 and 15 :-

LCM of 9 and 15 is 45


Therefore,
Cost Price of 15 articles = Rs 45
Cost Price of 1 article = Rs (45/15) = Rs 3

Selling price of 9 articles = Rs 45
Selling price of 1 article = Rs (45/9) = Rs 5


Now,
We have,

Cost Price of 1 article = Rs 3
Selling price of 1 article = Rs 5



Selling price is greater than the Cost price. Therefore, Gain.


Gain = S.P - C.P
= Rs (5 - 3)
= Rs 2


Gain % = (gain × 100)/C.P %
= (2 × 100)/3 %
= 200/3 %
= 66.66 % approx.


Hence,
The gain percent in the transaction is 66.66% or 66⅔%

Answer 2

Solutions :-


We have,

Selling price of 9 articles is equal to the Cost price of 15 articles.

Selling price = 15
Cost Price = 9


Selling price > Cost price

Therefore, Gain


$gain\% = ( \frac{sp - cp}{cp} \times 100)\% \\ \\ = ( \frac{15 - 9}{9} \times 100)\% \\ \\ = ( \frac{6}{9} \times 100)\% \\ \\ =( \frac{600}{9} ) \% \\ \\ = 66.66\% \: \: or \: 66 \frac{2}{3} \%$


Answer : Gain Percent = $66.66\% \: \: or \: 66 \frac{2}{3} \%$