Question

A pair of shoes which costs Rs 320 was sold at a loss of 5%what was the selling price if it is sold at profit of 20%find the gain per cent if it were sold for Rs 360

Answer 1

The Sell Price of the shoe at 5% loss is Rs 304.

The Sell Price of the shoe at 20% profit is Rs 384.

The Total Gain Percent is 12.5% when shoes are sold at Rs.360.

Explanation:

Given,

Cost Price(C.P.) of shoe = Rs 320

Case 1.

Loss = 5%

C.P. = Rs 320

Here loss percent and cost price of the shoe is given, we have to find out the selling price(S.P.) of the shoe.

For this we use the formula of calculating S.P.

`S.P. = (C.P.(100-loss\%))/(100)`

On substituting the given values, we get;

`S.P. = (320(100-5))/(100)\\\\S.P. =(320* 95)/(100) =(30400)/(100) =Rs\ 304`

The Sell Price of the shoe at 5% loss is Rs 304.

Case 2.

C.P. = Rs 320

Profit = 20%

Here profit percent and cost price of the shoe is given, we have to find out the selling price(S.P.) of the shoe.

For this we use the formula of calculating S.P.

`S.P. = (C.P.(100+profit\%))/(100)`

On substituting the given values, we get;

`S.P. = (320(100+20))/(100)\\\\S.P.=(320* 120)/(100)=(38400)/(100)=Rs\ 384`

The Sell Price of the shoe at 20% profit is Rs 384.

Case 3.

C.P. = Rs 320

S.P. = Rs 360

Now we need to find the gain percent.

First we will find the gain.

Gain is the difference of S.P with C.P.

Gain =
`360-320 = 40`

Now Gain Percent can be calculated by dividing gain with the cost price and then multiplying it with 100

Gain Percent =
`(40)/(320)* 100 = 12.5\%`

Hence The Total Gain Percent is 12.5% when shoes are sold at Rs.360.