Question

Find the gain or loss per cent in the following cases :
(ii) C.P R.S 2 ; loss 50 p.
(iv) C.P R.S 1000; S.P R.S 1200​

Answer 1

Answer:

50p = 1/2 rupees

loss percent

===>( ii) { (1/2)/2}*100

==> 25%

(iv) gain = 200

gain percent

==> (200/1000)*100

===> 20%

Answer 2

AnswEr :

( i ) CP = Rs. 2 ; loss = 50 p = Rs. 0.5

$\longrightarrow \tt Loss\% = \dfrac{Loss}{CP}\times100 \\ \\\longrightarrow \tt Loss\% = \cancel\dfrac{0.5}{2}\times100 \\ \\\longrightarrow \tt Loss\% = 0.25 \times 100 \\ \\\longrightarrow \red{\tt Loss\% = 25\%}$

⠀

∴ Hence, Loss will be 25% in this case.

$\rule{300}{1}$

( ii ) CP = Rs. 1000 ; SP = Rs. 1200

Here, we can see that SP ( Selling Price ) is More than CP ( Cost Price ), then here it must will be Gain Percentage.

$\longrightarrow \tt Gain\% = \dfrac{Gain}{CP} \times100 \\ \\\longrightarrow \tt Gain\% = \dfrac{SP-CP}{CP} \times100 \\ \\\longrightarrow \tt Gain\% = \dfrac{1200 - 1000}{10 \cancel{00}} \times\cancel{100} \\ \\\longrightarrow \tt Gain\% = \cancel\dfrac{200}{10} \\ \\\longrightarrow \red{\tt Gain\% = 20\%}$

⠀

∴ Hence, Gain will be 20% in this case.

$\rule{300}{2}$

$\boxed{\begin{minipage}{7 cm}\underline{\text{Some Important Formulae Related to it :}}\\ \\ SP=CP\times(100+\sf Profit)\%\\ \\SP=CP\times(100-Loss)\%\\ \\Profit\%=\dfrac{Profit}{CP}\times100 \\ \\Loss\%=\dfrac{Loss}{CP}\times100\end{minipage}}$

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