Question

find the c.p. when s.p. = ₹ 12 ; gain =20%

Answer 1

Answer:

Question

✳️find the c.p. when s.p. = ₹ 12 ; gain =20%

Solution ⬇️

✍️ Selling price=Rs 12 ; gain price = 20%... given

✍️To find= Cost price=??

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✍️let C.P = x

$= > sp = cp + \frac{p}{100 } \times cp$

$= > 12 = x + \frac{20}{100} \times x$

$= > 12 = x + \frac{1}{5} \times x$

$= > 12 = x + \frac{x}{5}$

✍️ Solve to get x=10Rs

✍️ Therefore,C.P=10 Rs

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➡️let CP= y

$= > sp = cp - \frac{l}{100} \times cp$

$= > 360 = y - \frac{10}{100} \times y$

$= > 360 = y - \frac{1}{10} \times y$

$= > 360 = y - \frac{y}{10}$

➡️Solve to get y=400Rs

➡️ Therefore C.P = Rs400

Step-by-step explanation:

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Answer 2

Solution:-

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

❍ Here, the question has given us the cost price of a product that is Rs. 12 and made a profit 20% respectively. Now, the question has asked us to find the cost price of that product. So, to find the cost price we simply need to apply the formula of CP when SP and profit is given.

ANSWER:-

⇛ Cost price of the product is Rs. 10.

GIVEN:-

➜ Cost price of the product = 12

➜ Profit made by the seller = 20%

TO FIND:-

➛ Cost price of the product = ?

FORMULA:-

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

SOLVING BY APPLYING THE FORMULA:-

➜ Cost price of the product = 12

➜ Profit made by the seller = 20%

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

• Finding the cost price:-

➙ Cost price = (SP × 100 / 100 + Profit %)

➙ Cost price = (12 × 100 / 100 + 20)

➙ Cost price = (1,200 / 120)

➙ Cancelling the zeros.

➙ Cost price = (120 / 12)

➙ Cost price = 120 / 12 = 10

➙ Cost price = 10

Hence, we got the answer. The cost price of the product is Rs. 10.

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

• 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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