Question

by selling a laptop for rs 23000 a dealer earns a profit of 15% find its cost price

Answer 1

Solution:-

━━━━━━━━━━━━━━━━━━━━━━━━━━

$\large\to{\underbrace{\underline{\sf{Understanding\:the\:concept:-}}}}$

➢ Here, the question has given us the selling price of the laptop and the profit made by a person that is Rs. 23,000 and 15% respectively. Now, the question has asked us to find the cost price of that laptop. So, to find the cost price we simply need to apply the formula of cost price when profit percent is given and we will get the cost price of that laptop.

ANSWER:-

☆ Selling price of the laptop is Rs. 20,000.

GIVEN:-

➝ Selling price of the laptop = Rs. 23,000

➝ Profit made by him = 15 %

TO FIND:-

» Cost price of the laptop = ?

FORMULA:-

✠ CP when Profit Percent is given = (SP × 100 / 100 + Profit %)

SOLVING BY APPLYING THE FORMULA:-

➝ Selling price of the laptop = Rs. 23,000

➝ Profit made by him = 15%

✠ CP when Profit Percent is given = (SP × 100 / 100 + Profit %)

• Finding the cost price:-

⇾ Cost price = (23,000 × 100 / 100 + 15 %)

⇾ Cost price = (23,00,000 / 115)

⇾ Cost price = (23,00,000 / 115) = 20,000

⇾ Cost price = 20,000

Hence, we got the answer. Cost price of the laptop is Rs. 20,000

${\underline{\boxed{\large{\mathscr{\:All\: Formulae\:of\:Profit\:And\:Loss\:}}}}}$

• Profit = (SP > CP) = SP - CP
• Loss = (CP > SP) = CP - SP
• Profit% = (Profit × 100 / CP)%
• Loss% = (Loss × 100 / CP)%
• SP when Profit Percent is given = (100 + Profit % / 100)× CP
• CP when Profit Percent is given = (SP × 100 / 100 + Profit %)
• SP when Loss Percent is given = (100 - Loss / 100)× CP
• CP when Loss Percent is given = (SP × 100 / 100 - Loss)

━━━━━━━━━━━━━━━━━━━━━━━━━━

Answer 2

Given :

• Selling price of the laptop = Rs. 23,000

• Profit made by him = 15 %

To Find -

• Cost price of the laptop

Solution :

$\large {\boxed {\sf {\purple {Cost Price = \dfrac { SP × 100 }{ 100 + Profit \%}}}}}$

Cost price:-

$\sf \implies { Cost price = \dfrac{ (23,000 \times 100) }{ 100 + 15 \%}}$

$\sf \implies { Cost price = \dfrac{ 23,00,000 }{115}}$

$\sf \implies { Cost price = 20,000}$

Cost price of the laptop is Rs. 20,000

━━━━━━━━━━━━━━━━━━━━━━

Some related formulas :-

$\begin{gathered}\small\boxed{\begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\ \bigstar \: \sf{Gain = S.P - C.P} \\ \\ \bigstar \:\sf{Loss = C.P - S.P} \\ \\ \bigstar \: \sf{Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{loss \: \% = \Bigg( \dfrac{loss}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{C.P =\dfrac{100}{100+Gain\%} \times S.P} \\ \\\bigstar \: \sf{S.P = \dfrac{100-loss\%}{100} \times C.P} \\ \\ \bigstar \: \sf{C.P =\dfrac{100}{100-loss\%} \times S.P}\end{array}}\end{gathered}$