Question

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

Answer 1

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:-

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

Answer 2

Given :-

An article is sold for Rs5000 which was

bought for Rs4000.

To Find :-

Gain or Loss %

Solution :-

Here CP < SP.

So, It is a profit

Profit = SP - CP

Profit = 5000 - 4000

Profit = 1000

Now,

Gain% = Gain/CP $\times$ 100

$\sf Gain \% = \dfrac{1000}{4000} \times 100$

cancelling 000

$\sf Gain \%= \dfrac{1}{4} \times 100$

$\sf Gain \% = 0.25 \times 100$

$\sf Gain \% = 25 \%$

Thus,

Here, is gain by 25%