## Profit and Loss

#### Profit and Loss

1. The cost price of a radio is \$ 600. The 5% of the cost price is charged towards transportation. After adding that, if the net profit to be made is 15%, then the selling price of the radio must be

1. Given , Cost price of a radio = \$ 600 and its transportation charged = 5%

 Actual C.P. of radio = 600 + 600 × 5 = \$ 630 100

Profit = 15%

##### Correct Option: B

Given , Cost price of a radio = \$ 600 and its transportation charged = 5%

 Actual C.P. of radio = 600 + 600 × 5 = \$ 630 100

Profit = 15%
 ∴ Required S.P. = 600 × ( 100 + 15 ) = \$ 724.50 100

 Required S.P. = 600 × 115 = \$ 724.50 100

1. While selling to the retailer, a company allows 30% discount on the marked price of their products. If the retailer sells those products at marked price, his profit % will be :

1. Given , Discount = 30%
If the marked price of the product be \$ 100, then Cost Price = ( 100 - 30 ) = \$ 70
Selling Price of retailer = \$ 100

 ∴ Gain percent = 30 × 100 = 300 70 7

##### Correct Option: D

Given , Discount = 30%
If the marked price of the product be \$ 100, then Cost Price = ( 100 - 30 ) = \$ 70
Selling Price of retailer = \$ 100

 ∴ Gain percent = 30 × 100 = 300 70 7

 Gain percent = 42 6 % 7

1. A merchant purchases a wrist watch for \$ 450 and fixes its list price in such a way that after allowing a discount of 10%, he earns a profit of 20%. Then the list price of the watch is

1. Here , Cost Price = \$ 450 and discount on marked ( list ) price = 10%
If the marked price of watch be y, then

 y × 90 = 450 × 120 100 100

##### Correct Option: D

Here , Cost Price = \$ 450 and discount on marked ( list ) price = 10%
If the marked price of watch be y, then

 y × 90 = 450 × 120 100 100

 ⇒ y = 450 × 120 = \$ 600 90

1. By selling 33 meters of cloth, a person gains the cost of 11 meters. Find his gain%.

1. From the question ,
Gain = 11 meter cloth , Cost of cloth = 33 meter and Selling of cloth = ( 33 + 11 ) = 44 meters

 Gain percent = 11 × 100 = 100 33 3

##### Correct Option: A

From the question ,
Gain = 11 meter cloth , Cost of cloth = 33 meter and Selling of cloth = ( 33 + 11 ) = 44 meters

 Gain percent = 11 × 100 = 100 33 3

 Gain percent = 33 1 % 3

1. If a shirt costs \$ 64 after 20% discount is allowed, what was its original price in?

1. If the original cost of shirt be y and after 20% discount on its then

 y × ( 100 - 20 ) = 64 100

 y × 80 = 64 100

##### Correct Option: B

If the original cost of shirt be y and after 20% discount on its then

 y × ( 100 - 20 ) = 64 100

 y × 80 = 64 100

 ⇒ y = 64 × 100 = \$ 80 80