Question

By selling a television for Rs 14375 the shopkeeper gains a profit of 15%. Find its Cost price​

Answer 1

Question ⤵️

By selling a television for Rs 14375 the shopkeeper gains a profit of 15%. Find its Cost price ??

A᭄ɴsᴡᴇʀ ⤵️

Given :-

Selling Price - ₹ 14375

Gain % = 15 %

To Find :-

Cost Price??

Solution ↘️

$cp \: = \: ( \frac{100 \times sp}{100 + profit \: p.} )$

$cp \: = \: ( \frac{100 \times 14375}{115} )$

cp = 125 × 100

=> ₹ 12500

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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 SP of a television and the profit made by the seller that are Rs. 14375 and 15% respectively. Now, the question has asked us to find the cost price of the product. So, to find the CP we need to apply the formula of CP when profit% is given.

ANSWER:-

✩ The CP will be Rs. 12,500.

GIVEN:-

↠ Selling price of the product = Rs. 14375

↠ Profit made by the seller = 15%

TO FIND:-

↣ Cost price = ?

FORMULA:-

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

SOLVING BY APPLYING THE FORMULA:-

↠ SP = Rs. 14375

↠ Profit% = 15%

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

↦ Cost price = (14,375 × 100 / 100 + 15)

↦ Cost price = (14,37,500 / 115)

↦ Cost price = (14,37,500 / 115) = 12,500

↦ Cost price = Rs. 12,500

Hence, the CP is Rs. 12,500.

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

• 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)