Question

calculate the actual gain in following. 1) c.p= rs650 gain12%​

Answer 1

Given :

• Cost Price = Rs.650
• Gain % = 12 %

To Find :

• Gain = ?

SolutioN :

$\bigstar$ Formula Used :

• ${\underline{\boxed{\pmb{\sf{ Gain \; \% = \bigg\lgroup \dfrac{Gain}{Cost \; Price} \bigg\rgroup \times 100 }}}}}$

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$\bigstar$ Calculating the Gain :

${\longmapsto{\qquad{\sf{ Gain \; \% = \bigg\lgroup \dfrac{Gain}{Cost \; Price} \bigg\rgroup \times 100 }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ 12 = \bigg\lgroup \dfrac{Gain}{650} \bigg\rgroup \times 100 }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ 12 \times 650 = Gain \times 100 }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ 12 \times 650 = Gain \times 100 }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ 7800 = Gain \times 100 }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ \dfrac{7800}{100} = Gain }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ \cancel\dfrac{7800}{100} = Gain }}}} \\ \\ \\ \ {\qquad \; \; {\therefore \; {\underline{\boxed{\pmb{\purple{\frak{ Gain = ₹ \; 78 }}}}}}}}$

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$\bigstar$ Therefore :

❛❛ Gain is of ₹ 78 . ❜❜

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Answer 2

Question :-

✠ Calculate the actual gain in following :-

• C.P = ₹ 650 & Gain = 12 %

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Answer :-

• Actual Gain = Rs. 78

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Explanation :-

∓ Here, Cost Price is given Rs. 650 . Gain Percent is given 12 % . And, we have to calculate the Actual Gain .

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• Now, let's solve step by step -----

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◆ Formula Required :-

• $\sf{Gain \: \% = \bigg( \frac{Gain}{Cost \: Price} \bigg) \times 100}$

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∴ By substituting the given values :-

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$\dashrightarrow \: \sf{12= \bigg( \frac{Gain}{650} \bigg) \times 100 } \\ \\ \dashrightarrow \: \sf{ 12 \times 650 = Gain \times 100} \\ \\ \dashrightarrow \: \sf{7800 = Gain \times 100} \\ \\ \dashrightarrow \: \sf{Gain = \frac{78\cancel{00}}{1 \cancel{00}} } \\ \\ \dashrightarrow \: \sf{Gain = Rs. \: 78}$

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Hence :-

• Actual Gain = Rs. 78

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