Question

. The farmer sells a cow for Rs.15000 and got a profit percentage of 50 %. Find the cost price of the cow?

Answer 1

Answer:

10,000

Step-by-step explanation:

As the seeling price is 15,000 and it says 50% profit so

50% of 15000

which is 10,000

Answer 2

Answer :

The cost price of the cow is Rs 10000.

Given :

• Selling Price of the cow (SP) = Rs 15000

• Profit % = 50 %

To calculate :

• Cost Price or the cow (CP) = ?

Calculation :

As we know that,

CP when SP and profit % are given :

$\star \: \: \boxed{\pmb { \blue{ CP = \dfrac{100}{100 + Profit \: \%} \times SP }} }$

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Substituting values,

$\sf { \longrightarrow CP = Rs \Bigg \lgroup \dfrac{100}{100 + 50} \times 15000 \Bigg \rgroup }$

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$\sf { \longrightarrow CP = Rs \Bigg \lgroup \dfrac{100}{150} \times 15000 Rs \Bigg \rgroup}$

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$\sf { \longrightarrow CP = Rs \Bigg \lgroup \dfrac{100}{\cancel{150}} \times \cancel{15000 }Rs \Bigg \rgroup}$

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$\sf { \longrightarrow CP = Rs \lgroup 100 \times 100 \rgroup }$

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$\longrightarrow \underline{\boxed{\pmb{CP = Rs \: 10000 }}} \: \blue{\bigstar}$

Henceforth,the cost price of the cow is Rs 10000.

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