Question

. If the C.P. of 25 chairs is the S.P. of 30 chairs, find the loss per cent.​

Answer 1

$16 \frac{2}{3}\% \: loss$

Given:

C.P of 25 chairs is equal to the S.P of 30 chairs.

To find:

Loss percent.

Solution:

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

Then the C.P of 25 chairs = Rs.25

Now S.P of 30 chairs = C.P of 25 chairs.

Therefore, S.P of 30 chairs = Rs.25

Now, C.P of 30 chairs = Rs.30

Now, Loss = C.P-S.P

=> Rs.30-Rs.25

=> Rs.5

Loss% = loss/c.p × 100

=> 5/30 ×100

=> 100/6

=> 50/3

$16 \frac{2}{3}\%$

Something more related to it:

$profit \: = s.p - c.p$

$loss \: = c.p - s.p$

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

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

$s.p \: \: (when \: profit\% \: is \: given) \\ = > ( \frac{100 + profit\%}{100}) \times c.p$

$s.p \: (when \: loss\% \: is \: given) \\ = > ( \frac{100 - loss\%}{100}) \times c.p$

$c.p \: (when \: profit\% \: is \: given) \\ = > \: ( \frac{100}{100 + profit\%}) \times c.p$

$c.p \: (when \: loss\% \: is \: given) \: \\ = > ( \frac{100}{100 - loss\%}) \times c.p$