Question

Ravi sold a scooter at a loss of 5 %. If the selling price of the scooter is Rs. 1900, find the

cost price of the scooter?
​

Answer 1

Here

CP - 5% of CP = SP

according to question,

let CP be x

so

x - 5x/100 = 1900

(100x - 5x)/100 = 1900

95x/100 = 1900

95x = 1900 * 100

95x = 190000

x = 190000/95

x = 10000/5

x = 2000

hence CP = 2000 Rs

Answer 2

Solution:-

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

◉ Here the question has given us the SP of a product that is Rs. 1900 and the loss made by the seller. Now, the question has asked us to find the selling price of the product. So, to find the CP we need to apply the formula of CP when loss% is given.

ANSWER:-

✩ The CP will be Rs. 2,000.

GIVEN:-

↠ Selling price of the product = Rs. 1,900

↠ Loss made by the seller = 5%

TO FIND:-

↣ Cost price = ?

FORMULA:-

↪ CP when Loss Percent is given = (SP × 100 / 100 - Loss)

SOLVING BY APPLYING THE FORMULA:-

↠ CP = Rs. 1,900

↠ Profit% = 5%

↪ CP when Loss Percent is given = (SP × 100 / 100 - Loss)

↦ Cost price = (1,900 × 100 / 100 - 5)

↦ Cost price = (1,90,000 / 95)

↦ Cancel 1,90,000 by 95.

↦ Cost price = 1,90,000 / 95 = 2,000

↦ Cost price = Rs. 2,000

Hence, the CP is Rs. 2,000.

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

• 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)

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