Question

if the sp of 15 toys is equal to cp of 12 toys find the loss percent ​

Answer 1

Answer:

${\huge{\pink{\underline{\underline{QuEsTiOn}}}}}$

the cost price of 12 toys is equal to selling price of 15 find the loss percent...??

${\huge{\pink{\underline{\underline{Formula\ used}}}}}$

$Loss=C.P.-S.P\\</p><p>Loss\ percent= \frac{Loss}{C.P} \times 100$

${\huge{\pink{\underline{\underline{SoLuTiOn}}}}}$

Let the cost price of 1 toy be x.

Then,cost price of 12 toys is 12x

A/Q

Selling price of 15 toys=cost price of 12 toys=12x

So,selling price of 1 toy=$\frac{12x}{15}$

=$\frac{12x÷3}{15÷3}$

=$\frac{4x}{5}$

$Loss=C.P.-S.P\\</p><p> =x - (\frac{4x}{5})\\</p><p> = \frac{5x}{5} - \frac{4x}{5} \\</p><p>=\frac{x}{5}$

$Loss percent= \frac{Loss}{C.P} \times 100\\</p><p>= \frac{ \frac{x}{5} }{x} \times 100\\</p><p>=\frac{x}{5x} \times 100\\</p><p>=\frac{1}{5} \times 100$

=20 percent answer..

Answer 2

Answer:

As we know that

SP=CP+gain

Given 6 times CP is equal to 5 times SP

⟹6CP=5SP

⟹6CP=5(CP+gain)

⟹6CP=5CP+5gain

⟹CP=5 gain

⟹gain=

5

1

×CP=

100

20

×CP

Gain percent is 20%