Question

The usual price of a table was $235 and the usual price of a chair was $120
During a sale, the table was sold at 5185 and the chair was soldot 590
Which piece of furniture was given a higher percentage discount?

Answer 1

Correct Statement is

The usual price of a table was $235 and the usual price of a chair was $120. During a sale, the table was sold at $185 and the chair was sold at $90. Which piece of furniture was given a higher percentage discount?

Solution :-

Given that,

• Marked Price of chair = $ 120

• Selling Price of chair = $ 90

• Marked Price of table = $ 235

• Selling Price of table = $ 185

We know that,

$\rm :\longmapsto\:Discount = Marked \: Price - Selling \: Price$

Case of Chair :-

$\rm :\longmapsto\:Discount_{(chair)} = Marked Price_{(chair)} - Selling Price_{(chair)}$

$\rm :\longmapsto\:Discount_{(chair)} = 120 - 90$

$\bf\implies \:Discount_{(chair)} = 30$

Now, we know that

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

$\rm :\longmapsto\:Discount_{(chair)}\% = \dfrac{30}{120} \times 100\%$

$\bf\implies \:Discount_{(chair)}\% = 25\%$

Case of table :-

$\rm :\longmapsto\:Discount_{(table)} = Marked Price_{(table)} - Selling Price_{(table)}$

$\rm :\longmapsto\:Discount_{(table)} = 235 - 185$

$\bf\implies \:\:Discount_{(table)} = 50$

So,

$\rm :\longmapsto\:Discount_{(table)}\% = \dfrac{50}{235} \times 100\%$

$\rm :\longmapsto\:Discount_{(table)}\% = 21.28\% \: approx.$

Now,

$\rm :\longmapsto\:Discount_{(table)}\% \: < \: Discount_{(chair)}\%$

$\bf\implies \:Chair \: is \: available \: at \: higher \: discount$

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