Question

A refrigerator bought for Rs 12000 and sold for 13500 find profit percentage and loss percentage

Answer 1

GIVEN :–

• Cost price of Refrigerator (C.P.) = 12,000

• Selling price(S.P.) = 13,500

TO FIND :–

• Profit Percentage/Loss Percentage = ?

SOLUTION :–

$\\ \bf \implies Profit = S.P. - C.P.$

$\\ \bf \implies Profit = 13500-12000$

$\\ \large \implies{ \boxed{ \bf Profit = 1500}}$

• We know that –

$\\ \:\:{\red{\large \bigstar \:\: { \boxed{ \bf Profit \: \: \% = \dfrac{profit}{C.P.} \times 100}}}}$

• Now put the values –

$\\ \:\:\implies \bf Profit \: \: \% = \dfrac{1500}{120{ \cancel{00}}} \times \cancel{100}$

$\\ \:\:\implies \bf Profit \: \: \% = \dfrac{150 \cancel0}{12 \cancel0}$

$\\ \:\:\implies \bf Profit \: \: \% = \dfrac{150}{12}$

$\\ \:\: \large\implies { \boxed{\bf Profit\:\:\% =12.5\:\:\%}}$

• Hence , Profit on Refrigerator is 12.5 % .

Answer 2

Question:-

A refrigerator bought for Rs 12000 and sold for 13500 find profit percentage and loss percentage.

Solution:-

$\boxed{\rm{\orange{Given \longrightarrow }}}$

• CP of the refrigerator= Rs. 12000
• SP of the refrigerator= Rs. 13500

$\boxed{\rm{\red{To\:Find\longrightarrow }}}$

• Profit or loss percentage

$\boxed{\rm{\pink{Explanation\longrightarrow }}}$

As we know that,

${\boxed{\sf\:{Profit\% = \frac{SP - CP}{CP} \times 100}}}$

So,

${\sf\:{Profit\% = \frac{13500- 12000}{12000} \times 100}}$

${\sf\:{Profit\% = \frac{1500}{12000} \times 100}}$

${\sf\:{Profit\% = \frac{1500}{120}}}$

${\sf\:{Profit\% = \frac{150}{12}}}$

Therefore, profit will be 12.5%

__________________________________

$\bold \pink {Some\:Important\:Formulae:-}$

1.$\textbf {Gain = (S.P) - (C.P) }$

2. $\textbf {Loss = (C.P) - (S.P) }$

3.$\textbf {Loss or Gain is always reckoned on C.P}$

4. $\textbf {Gain Percentage: (Gain\%)}$

$\mathsf {Gain\% = \Bigg(\frac{Gain \: \times \: 100}{C.P}\Bigg)}$

5. $\textbf {Loss Percentage: (Loss\%)}$

$\mathsf {Loss\% = \Bigg(\frac{Loss\: \times \:100}{C.P}\Bigg)}$

6. $\textbf {Selling Price: (S.P) }$

$\mathsf {S.P = \Bigg[\frac{(100\: + \: Gain\%)}{100}\Bigg] \times C.P}$

7. $\textbf {Selling Price: (S.P) }$

$\mathsf {S.P = \Bigg[\frac{(100 \: + \: Loss\%)}{100}\Bigg] \times C.P}$

8. $\textbf {Cost Price: (C.P) }$

$\mathsf {C.P = \Bigg[\frac{100}{(100 \: + \: Gain\%)}\Bigg] \times S.P}$

9.$\textbf {Cost Price: (C.P) }$

$\mathsf {C.P = \Bigg[\frac{100}{(100 \: - \: Loss\%)}\Bigg] \times C.P}$