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4. An article is sold for Rs5000 which wasbought for Rs4000. The gain or loss % is

Answer»

Given :-

Selling PRICE of article(SP)= Rs5000

Cost price of article(CP)= Rs4000

To FIND :-

We have to find out the gain/loss PERCENTAGE

Solution:-

Using formula

\underline{\boxed{\it\ Gain\%=\dfrac{Actual\ Gain}{CP}\times 100\%}}

\bigstar{\sf\ Gain\%= \dfrac{SP-CP}{CP}\times 100\%}\\ \\ \\ :\implies\sf\ Gain\%= \dfrac{5000-4000}{4000}\times 100\%\\ \\ \\ :\implies\sf\ \ Gain\%= \dfrac{1\cancel{000}}{4\cancel{000}}\times 100\%\\ \\ \\ :\implies\sf\ \ Gain\%= \dfrac{100\%}{4}\\ \\ \\ :\implies\underline{\boxed{\purple{\sf\ \ Gain\%= 25\%}}}

Some other important formulae:-

\bullet\sf\ Loss\%=\dfrac{CP-SP}{CP}\times 100\%\\ \\ \bullet\sf\ SP= \dfrac{100+Gain\%}{100}\times CP\\ \\ \bullet\sf\ SP= \dfrac{100-loss\%}{100}\times CP\\ \\\bullet\sf\ CP= \dfrac{100}{100+Gain\%}\times SP\\ \\ \bullet\sf CP=\dfrac{100}{100-loss\%}\times SP


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