Question

By selling an article for ₹ 4500, Paras loses 20%. For what price should he
sell it to gain 20 %?

Answer 1

Answer:

6750 Rs

Step-by-step explanation:

Earlier SP = 4500

Lose percent = 20

Let MP be x

Thus, x - 20/100 * x = 4500

80/100 * x = 4500

x = 45000/8

Now, Profit = 20

SP = x + 20/100 * x

=120/100 * x

= 120/100 * 45000/8

= 6750 Rs

Answer 2

Given:

By selling an article for ₹ 4500, Paras loses 20%.

To Find:

For what price should he  sell it to gain 20%?

Solution:

It is given that an article is sold for Rs4500 and Paras loses 20% on that, so from this information, we can say that

SP=4500

loss%=20%

Now by using the loss% formula we can calculate the value of cost price, which goes as,

$loss%=\frac{CP-SP}{CP} *100\\20=\frac{CP-4500}{CP}*100\\2CP= 10CP-45000\\CP=5625$

So now we have the cost price as Rs5625, now we need to calculate the selling price for which the gain% will be 20%, using the gain% formula, we have

$gain\%=\frac{SP-5625}{5625}*100\\5625=5SP-28125\\SP=6750$

So the selling price comes as Rs6750

Hence, the price at which Paras should sell the article to get a gain of 20% is Rs6750.