Question

A person sells an article
Rs. 550. gaining 1/10 of its C.P. Find gain percent.

Answer 1

Information provided to us:

Selling Price of the article = ₹ 550

Gain = 1/10 of cost price

Let the Cost Price be ₹ x.

Now let's calculate the gain,
Gain = 1/10 of ₹ x
Gain = x / 10
Gain = ₹ 0.1 x

Now we know that gain percentage is the product of gain and 100 divided by CP.

Therefore,

Gain percentage = ( Gain * 100 ) / CP
Gain percentage = ( 0.1x * 100 ) / x
Gain percentage = 10x / x
Gain percentage = 10 %

Hence,

Gain percentage = 10 %

Answer 2

Let the cp of the article be ₹ x
Then gain = ₹x/10
Given : sp= ₹550
we know that cp= sp - gain
then, x = 550 - x/10
x+x/10 = 550
(10x + x)/10 = 550
11x/10= 550
11x = 550×10
11x= 5500
x= 5500/11
x = 500
so, cp = ₹500
so, gain = 500/10 = ₹50

so, gain % = gain×100/cp
= 50×100/500 = 10% answer