Question

the cost price of 12 fans is equal to the selling price of 16 fans find gain or loss percent

Answer 1

✬ Loss % = 25 % ✬

Step-by-step explanation:

Given:

• Cost price of 12 fans is equal to the selling price of 16 fans.

To Find:

• What is the gain or loss percent ?

Solution: Let the cost price of 1 fan be Rs x. Therefore,

➟ Cost price of 12 fans will be = 12 $\times$ x

➟ C.P of 12 fans = Rs 12x

A/q

• It is given that C.P of 12 fans = S.P of 16 fans

So,

➱ S.P of 16 fans = C.P of 12 fans = Rs 12x

∴ S.P of 16 fans = Rs 12x and

∴ C.P of 16 fans = 16 $\times$ x = Rs 16x

On comparing both C.P and S.P we got

• C.P > S.P ( Hence, there is loss )

As we know that ;-

★ Loss = Cost Price – Selling Price ★

$\implies{\rm }$ Loss = Rs ( 16x – 12x )

$\implies{\rm }$ Loss = Rs 4x

Now, for loss percent formula is:-

★ Loss % = ( Loss/C.P $\times$ 100 ) ★

$\implies{\rm }$ Loss % = ( 4x/16x $\times$ 100 ) %

$\implies{\rm }$ Loss % = ( 100/4 ) %

$\implies{\rm }$ Loss % = 25 %

Hence, the loss percent is 25 %.

Answer 2

* Loss % = 25%

Step-by-step explanation:

Given:

. Cost price of 12 fans is equal to the

selling price of 16 fans.

To Find:

• What is the gain or loss percent?

*Solution: Let the cost price of 1 fan be

Rs x. Therefore,

- Cost price of 12 fans will be = 12 XX

+ C.P of 12 fans = Rs 12x

Alq

• It is given that C.P of 12 fans - S.P

of 16 fans

So,

- S.P of 16 fans = C.P of 12 fans = Rs

12x

:: S.P of 16 fans - Rs 12x and

::C.P of 16 fans = 16 x X = Rs 16x

On comparing both C.P and S.P we got

. C.P>S.P ( Hence, there is loss)

As we know that -

* Loss = Cost Price - Selling Price *

Loss = Rs (16x - 12x)

Loss = Rs 4x

Now, for loss percent formula is:-

* Loss % = ( Loss/C.P x 100) *

=> Loss % = ( 4x/16x 100) %

Loss % = ( 100/4) %

> Loss % = 25%

Hence, the loss percent is 25%.