Question

By selling an article for Rs 72, there is
là loss of 10% In order to gain 5%
ith selling price should be​

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The Selling Price of the Article should be Rs. 84 to get a Profit of 5%.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

$\text{\underline{\underline{\purple{Given :}}}}$

Selling Price of the Article = Rs. 72

Loss occured = Rs. 10%

$\text{\underline{\underline{\purple{To Find :}}}}$

The Selling Price to gain 5% Profit

$\text{\underline{\underline{\purple{Solution :}}}}$

$\boxed{\sf{Case\:I}}$

• Selling Price = Rs. 72
• Loss % = 10 %
• Cost Price = ?

★ ${\boxed{\sf\:{CP = \frac{100}{(100 - loss\%)} \times SP}}}$

$\sf{\longrightarrow} \:CP = \dfrac{100}{(100 - loss\%)} \times SP$

$\sf{\longrightarrow} \:CP = \dfrac{100}{(100 - 10)} \times 72$

$\sf{\longrightarrow} \:CP = \dfrac{10\cancel{0}}{9\cancel{0}} \times 72$

$\sf{\longrightarrow} \:CP = \dfrac{10}{9} \times 72$

$\sf{\longrightarrow} \:CP = \dfrac{10}{1} \times 8$

$\sf{\longrightarrow} \:CP =10\times 8$

$\sf{\longrightarrow} \:CP =80$

The Cost Price of the Article is Rs. 80

$\rule{300}{1.5}$

$\boxed{\sf{Case\:II}}$

• Cost Price = Rs. 80
• Profit = 5%
• Selling Price = ?

★ ${\boxed{\sf\:{SP = \frac{(100 + profit\%)} {100} \times CP}}}$

$\sf{\longrightarrow{SP = \dfrac{(100 + profit\%)} {100} \times CP}}$

$\sf{\longrightarrow{SP = \dfrac{(100 +5)} {100} \times 80}}$

$\sf{\longrightarrow{SP = \dfrac{105} {10\cancel{0}} \times 8{\cancel{0}}}}$

$\sf{\longrightarrow{SP = \dfrac{105}{10} \times 8}}$

$\sf{\longrightarrow{SP = \dfrac{105}{5} \times 4}}$

$\sf{\longrightarrow{SP = \dfrac{21}{1} \times 4}}$

$\sf{\longrightarrow{SP = 84}}$

Selling Price is Rs. 84

$\therefore$ The Selling Price of the Article should be Rs. 84 to get a Profit of 5%.

Answer 2

» By selling an article for Rs. 72, there is

là loss of 10%.

• Selling price = Rs. 72

• Loss = 10 %

Celling price = ?

We know that..

CP = $\dfrac{100}{100\:-\:loss\%}$ × SP

→ $\dfrac{100}{100\:-\:10}$ × 72

→ $\dfrac{100}{90}$ × 72

→ $\dfrac{10}{9}$ × 72

→ 10 × 8

→ 80 _______ (eq 1)

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» In order to gain 5% the selling price should be

• Gain = 5%

• CP = 80

• SP = ?

SP = $\dfrac{100\:+\:Gain\%(Profit)}{100}$ × CP

→ $\dfrac{100\:+\:5}{100}$ × 80

→ $\dfrac{105}{10}$ × 8

→ $\dfrac{105}{5}$ × 4

→ 21 × 4

→ 84

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In order to gain 5% the selling price should be 84.

_________ [ ANSWER ]

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