Question

find the loss percentage in each of the following
a) cp = 12000 , sp = 6000
b) cp = 24000, sp = 10000​

Answer 1

To find : Loss percentage in each case

Formula used :

• Loss = CP - SP
• Loss % = ( Loss × 100) ÷ CP

Solution :

a) CP = 12000

SP = 6000

Loss = CP - SP = 12000- 6000

Loss = 6000

Loss % = (Loss × 100) ÷ CP

Loss % = (6000×100) ÷ 12000

Loss % = 600000 ÷ 12000

Loss % = 50%

b) CP = 24000

SP = 10000

Loss = CP - SP = 24000 - 10000

Loss = 24000 - 10000

Loss = 14000

Loss % = (Loss × 100) ÷ CP

Loss % = (14000×100) ÷ 24000

Loss % = 1400000 ÷ 24000

Loss % = 58.33%

ANSWER :

a) Loss % = 50%

b) Loss % = 58.33%

Additional information :

• Profit = SP - CP
• Profit % = (Profit × 100) ÷ CP

Answer 2

➤ Answer :-

Cost price = 12000

Selling price = 6000

Loss = ?

Loss percentage = ?

$\dashrightarrow$ Loss :-

$\to \tt12000 - 6000$

$\to \tt₹6000$

$\dashrightarrow$ Loss percentage :-

$\tt \dfrac{6000}{12000} \times100$

$\tt \to \cancel \dfrac{6000}{12000} \times 100 = \dfrac{6}{12} \times 100$

$\tt \to \dfrac{6 \times 100}{12} = \dfrac{600}{12}$

$\to \tt \cancel \dfrac{600}{12} = 50 \bf\%$

$\Huge\therefore$The loss is ₹ 6000 and

loss percentage is 50 $\bf\%$

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Cost price = 24000

Selling price = 10000

Loss = ?

Loss percentage = ?

$\dashrightarrow$ Loss :-

$\to \tt24000 - 10000$

$\to \tt₹14000$

$\dashrightarrow$ Loss percentage :-

$\tt \to \dfrac{14000}{24000} \times 100$

$\tt \to \cancel \dfrac{14000}{24000} \times 100 = \dfrac{14}{24} \times 100$

$\tt \to \dfrac{14 \times 100}{24} = \dfrac{1400}{24}$

$\tt \to58.33 \bf\%$

$\Huge\therefore$The loss is ₹ 14000 and

loss percentage is 58.33 $\bf\%$

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Note :-

Formulas used :-

$\bullet$ Loss :- $\boxed{\tt CP-SP}$

$\bullet$ Loss percentage :- $\boxed{\tt Loss \div CP \times 100 }$

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More formulas :-

$\bullet$ Profit :- $\boxed{\tt SP-CP}$

$\bullet$ Profit percentage :- $\boxed{\tt Profit \div CP \times 100 }$