Question

$\bf{ \underline{ \underline{ \color{deeppink}Question:}}}$
A table marked at Rs.15,000 is available for Rs.14,400. Find the discount given and the discount per cent.

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Answer 1

$\large\underline{\sf{Solution-}}$

Given that, A table marked at Rs. 15,000 is available for Rs. 14,400.

It means,

• Marked Price of table = Rs 15, 000

• Selling Price of table = Rs 14, 400

We know,

$\red{\rm Marked\: Price,\: Selling\:Price\:and \:Discount}$ are connected by the relationship

$\boxed{ \rm{ \:Discount \: = \: Marked \: Price \: - \: Selling \: Price \: }}$

So, on substituting the values, we get

$\rm \: Discount \: = \: 15000 - 14400$

$\bf\implies \:Discount \: = \: Rs \: 600$

Now, we know that,

Discount, Marked Price and Discount % are connected by the relationship

$\boxed{ \rm{ \:Discount \: \% \: = \: \dfrac{Discount}{Marked \: Price} \times 100\% \: }}$

So, on substituting the values, we get

$\rm \: Discount\% \: = \: \dfrac{600}{15000} \times 100 \: \%$

$\rm \: Discount\% \: = \: \dfrac{600}{150} \: \%$

$\bf\implies \:\boxed{ \bf{ \:Discount \: \% \: = \: 4 \: \% \: }}$

Hence,

$\begin{gathered}\begin{gathered}\bf\: \begin{cases} &\bf{Discount \: = \: Rs \: 600} \\ \\ &\bf{Discount \: \% \: = \: 4 \: \%} \end{cases}\end{gathered}\end{gathered}$

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Additional Information :-

$\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{ \red{More \: Formulae}}}} \\ \\ \bigstar \: \bf{Gain = \sf S.P. \: – \: C.P.} \\ \\ \bigstar \:\bf{Loss = \sf C.P. \: – \: S.P.} \\ \\ \bigstar \: \bf{Gain \: \% = \sf \Bigg( \dfrac{Gain}{C.P.} \times 100 \Bigg)\%} \\ \\ \bigstar \: \bf{Loss \: \% = \sf \Bigg( \dfrac{Loss}{C.P.} \times 100 \Bigg )\%} \\ \\ \\ \bigstar \: \bf{S.P. = \sf\dfrac{(100+Gain\%) or(100-Loss\%)}{100} \times C.P.} \\ \: \end{array} }}\end{gathered}\end{gathered}\end{gathered}$