Question

On selling 250 cassettes, a man had a gain equal to the selling price of 25 cassettes. Find his gain
per cent.
​

Answer 1

Step-by-step explanation:

The gain percent is 11.11%.

Step-by-step explanation:

Given : On selling 250 cassettes, a man had a gain equal to the selling price of 25 cassettes.

To Find : His gain per cent?

Solution :

Gain = Selling price - Cost price

i.e. Gain = Selling price of 250 cassettes - Cost price of 250 cassettes

We have given,

Gain = Selling price of 25 cassettes

So, Selling price of 25 cassettes = Cost price of 250 cassettes

Let the cost price of 1 cassettes be Rs. 'x'.

Cost price of 225 cassettes = Rs.225x

Selling price of 225 cassettes = Rs.250x

Gain percentage is given by,

G%=SP−CPCP×100G\%=\frac{SP-CP}{CP}\times 100G%=

CP

SP−CP

×100

G%=250x−225x225x×100G\%=\frac{250x-225x}{225x}\times 100G%=

225x

250x−225x

×100

G%=25x225x×100G\%=\frac{25x}{225x}\times 100G%=

225x

25x

×100

G%=19×100G\%=\frac{1}{9}\times 100G%=

9

1

×100

G%=11.11%G\%=11.11\%G%=11.11%

Therefore, The gain percent is 11.11%.

Answer 2

Given :-

• On selling 250 cassettes, a man had a gain equal to the selling price of 25 cassettes.

To Find :-

• His gain per cent?

Solution :

Gain = Selling price - Cost price

i.e. Gain = Selling price of 250 cassettes - Cost price of 250 cassettes

We have given,

Gain = Selling price of 25 cassettes

So, Selling price of 25 cassettes = Cost price of 250 cassettes

$\sf{G \: \% = \frac{1}{9} \times 100}$

Let the cost price of 1 cassettes be Rs. 'x'.

Cost price of 225 cassettes = Rs.225x

Selling price of 225 cassettes = Rs.250x

Gain percentage is given by,

$\sf{G \: \% = \frac{SP-CP}{CP} \times 100 }$

$\sf{G \: \% = \frac{250x-225x}{225x} \times 100}$

$\sf{G \: \% = \frac{25x}{225x} \times 100}$

${\boxed{ \sf \green{G \: \% = 11.11\%}}}$

Therefore, The gain percent is 11.11%.