Question

If the selling price of 6 articles is equal to the cost price of 9
articles,then find the gain or loss percent.

Answer 1

Answer:

50% gain.

Given:

S.P of 6 articles = C.P of 9 articles.

To find:

Gain% or loss%.

Solution:

Let the C.P of 1 article be Rs.1

Then the C.P of 9 articles would be Rs.9

S.P of 6 articles = C.P of 9 articles.

=> S.P of 6 articles = Rs.9

And C.P of 6 articles = Rs.6

Here, S.P is greater than C.P

Then it would be gain.

Now, Gain = S.P - C.P

=> Gain = Rs.9 - Rs.6

=> Gain = Rs.3

$now \: \: gain\% \: = \frac{gain}{c.p} \times 100$

$= > \frac{3}{6} \times 100$

=> 50%

Hence, Gain% will be 50%.

Answer 2

sp of 6 articles = x = cp of 9 articles

sp of 1 article = x/6

cp of 1 article = x/9

gain or loss = x/6 - x/9

=3x-2x/18

=x/18

gain or loss % = gain or loss / cp ×100

= x/18/x/9 ×100

=x/18 × 9/x ×100

=50%