Question

A buys a radio at3/4th of its marked price and sells it at 20% more than the marked price. What is A's gain percent?​

Answer 1

Step-by-step explanation:

1. here A buys 3/4th value of Market price =25percentage. 2.he sells more than 20percentage market price do he gains =45 percentage. 3.total gain =70 percentage

Answer 2

Step-by-step explanation:

Given :-

A buys a radio at 3/4th of its marked price and sells it at 20% more than the marked price.

To find :-

What is A's gain percent?

Solution :-

Let the Marked Price of the radio be Rs. X

Cost Price of the radio

= 3/4th of the Marked Price

= (3/4) of X

= (3/4)×X

=(3×X)/4

= 3X/4

Cost Price of the radio = Rs. 3X/4

and

Selling Price of the radio

= 20% more than the marked price

= 20% more than X

= X+20% of X

= X+(20/100)×X

= X+(1/5)×X

= X+(X/5)

= (5X+X)/5

= 6X/5

Selling Price of the radio = Rs. 6X/5

We have ,

CP = Rs. 3X/4 and SP = Rs. 6X/5

SP > CP

=> Gain occurs

We know that

Gain = Selling Price- Cost Price

=> Gain = (6X/5)-(3X/4)

LCM of 5 and 4 = 20

=> Gain = (24X-15X)/20

=> Gain = 9X/20

Gain = Rs. 9X/20

We know that

Gain % = (Gain/CP )×100

=> G% = [(9X/20)/(3X/4)]×100

=> G% = [(9X/20)×(4/3X)]×100

=> G% = [(9X×4)/(20×3X)]×100

=> G% = (36X/60X)×100

=> G% = (3/5)×100

=> G% = (3×100)/5

=> G% = 300/5

=> G% = 60%

Therefore, gain % of A = 60%

Answer:-

The gain percentage of A on the radio is 60%

Used formulae:-

→ Gain = Selling Price- Cost Price

→ Gain % = (Gain/CP )×100