Question

12. A radio dealer marks a radio with a price, which is 20% more than the cost
price and allows a discount of 10% on it. Find the gain percent

Answer 1

Step-by-step explanation:

let cp=100

thenMp =100+(20%of100)

=100+(20/100×100)

= 100+20 =120

s.p. =120-(10%of120)

=120-(10/100×120)

=120-12=108

gain=s.p-c.p

=108-100=8

gain%=(8×100/100)=8%

Answer 2

Given:

A radio dealer marks a radio with a price of 20% more than the original cost. He then allows a discount of 10% on the radio.

To Find:

The gain percentage after selling the radio.

Solution:

The given problem can be solved by using the concepts of Profit and Loss percentages.

1. Let the original price of the radio be x.

2. The radio dealer marks radio with a price which is 20% more than the cost price. Hence the new cost price of the radio will be x + 20% of x,

=> New cost price = x + x(20/100),

=> New cost price = x + x/5,

=> New cost price = 6x/5.

3. The radio dealer now allows a discount of 10% on the new cost price, hence the new cost price will be,

=> New cost price = 6x/5 - 10% of 6x/5,

=> New cost price = 6x/5 - 6x/50,

=> New cost price = 54x/50.

4.  The Final gain percentage is calculated by the formula,

=> Final gain percentage = ( Final selling price - Initial cost price) x 100,

=> Final gain percentage = ( $\frac{54x}{50}$ - x) * 100,

=> Final gain percentage = $\frac{2x}{25} * 100$,

=> Final gain percentage = 8%.

Therefore, the final gain percentage obtained by the radio dealer is 8%.