Question

By selling an article in Rs.480, a man loses 20% at what price should he sell it to gain 30

Answer 1

Answer: 780

Step-by-step explanation:

480 x100/80 = 600

600 x30/100 = 180

600 + 180 = 780

Answer 2

Given:-

•Selling Price of an article is Rs.480 and a man loses 20%.

To Find:-

•What is the price should he sell it to gain 30%.

Solution:-

we have,

• S.P = Rs.480
• Loss = 20%

Using Formula:

$\: \: \sf \: cp = \frac{sp}{100 - l} \times 100$

Now substitute the values,

$\: \: \sf \: cp = \frac{480}{100 - 20} \times 100 \\ \\ \: \: \sf \: cp = \frac{480}{80} \times 100 \\ \\ \: \: \sf \: cp = 600rupees$

Hence,Cost Price of an article is 600 rupees.

Now,

• CP = Rs.600
• Gain = 30%

Using Formula:

$\: \: \sf \: sp = \frac{cp}{100} \times (100 + gain)$

Now substitute the values,

$\: \: \sf \:sp = \frac{600}{100} \times (100 + 30) \\ \\ \: \: \sf \: sp = \frac{600}{100} \times 130 \\ \\ \: \: \sf \: sp = 780rupees$

Hence,Selling Price of an article is 780 rupees.