Question

in a school function ₹ 360 remained after spending 82 percent of the money how much money was their in the beginning ? verify your answer​

Answer 1

$\large \looparrowright \purple{ \underline{ \underline{ \orange{ \rm \: given : }}}}$

• Money Left = rs 360

• Money spent = 82%

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$\large \looparrowright \red{ \underline{ \underline{ \blue{ \rm \: to \: \: find : }}}}$

• money in the beginning

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$\large \looparrowright \pink{ \underline{ \underline{ \green{ \rm \: solution : }}}}$

$\bigstar$ Let the total money at begging be = x

• Total % = 100%

$\mapsto \orange{ \boxed{ \purple{ \rm \:( total\% - given\%) \: of \: x = 360}}}$

$\implies$ (100% - 82%) × x = 360

$\implies$ 18% × x = 360

$\implies \: \pink{ \dfrac{18}{100} \times \rm x = 360}$

• On transposing the terms :

$\implies \rm \: x = \dfrac{360 \times 100}{18}$

$\implies \rm \: x = 20 \times 100$

$\large \longrightarrow \rm \: \orange{ \boxed{\purple{ \rm \: x =2000}}}$

$\therefore$ Money at the beginning = rs 2000

Answer 2

$\huge{\bf{\mathtt{\red{AnSweR}}}}$

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$\: \: \: \: \: \: \: \:$

$\large{\bf{\mathtt{\green{GIvEn}}}}$

• Money remained = ₹ 360

• money spent = 82 % of whole money

$\:\:\:\:\:\:\:\:$

$\large{\bf{\mathtt{\green{ToFinD}}}}$

• total money at the beginning

$\: \: \: \: \: \: \: \: \:$

$\large{\bf{\mathtt{\green{ConSeDeRinG}}}}$

• Let the total money at the beginning be x

• Total percentage = 100%

$\: \: \: \: \: \: \: \: \: \: \:$

$\large{\bf{\mathtt{\green{SoLuTiOn}}}}$

$\: \: \: \: \: \: \: \: \: \: \:$

$\large{\boxed{\bf{\red{total - spent\:of \:x = 360}}}}$

$\: \: \: \: \: \: \: \: \: \: \:$

• 100 % - 82 % × x = 360

• 18% × x = 360

• $\large{\bf{\frac{18}{100}}}$ × x = 360

• x = $\large{\bf{\frac{360×100}{18}}}$
• x = 20 × 100

• $\large{\bf{\green{\mathtt{\boxed{X=2000}}}}}$

Total money at the beginning = 2000

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