Question

A person sells a radio of price Rs. 1000 at 20% discount to another person. The second

person increases its price by Rs. 400 and sells it at a discount of 25%. What is the profit

percentage made by the second person?​

Answer 1

Step-by-step explanation:

original price of radio = 1000

discount = 20%

price at which first man sold the radio to another man = 1000 - (20% of 1000)

1000 - (200)

1000 - 200

800

So, first man sold the radio to second person in Rs. 800

price of radio after increasing Rs. 400 by second man = 800 + 400 = 1200

According to second man price

original price = 1200

discount = 25%

price at which second person sold the radio to another person = 1200 - (25% of 1200)

1200 - (300)

1200 - 300

900

So, the second man sold the radio in Rs 900

Profit of second person = 900 - 800

= 100

So, the second man have the profit of Rs 100

Answer 2

Given:

Mp by radio sold by first person= Rs 1000

Discount: 20%

To find:

Profit percentage made by second person.

Required Solution:

$\sf\ SP \:of\: radio\: sold\: by\: first\: person\: = \frac{100-20}{100}×$

$\sf\ MP= \frac{80}{100}×1000=800$

$\sf\ CP\: of \:radio \:purchased \:by\: second\: person \:=800$

$\sf\ MP\: of\: radio\: decided\: by\: second\: person\:$$\sf\ =(800+400)=1200$

$\small\underline\bold\blue{ Discount =25\%}$

$\sf\ SP\: by\: second\: person\:=$

$\dashrightarrow\: \sf\large\ \frac{100-25}{100}$$\sf\small\ ×1200$

$\dashrightarrow\: \sf\large\ \frac{75}{100}×$ $\sf\small\ 1200=900$

$\sf\ Amount\: gained\: by\: second\: person\:$

$\sf\ =900-800$

$\dashrightarrow\: \underline{\boxed{\bf{\purple{=100}}}}$

$\sf\ ∴ Profit\: percent \:= \frac{100}{800}×100$

$\dashrightarrow\: \underline{\boxed{\bf{\orange{=12.5\%}}}}$