Question

he cost price of the chair which when sold at rupees 286 brings a profit of

30% is​

Answer 1

$\bf \: \underline{Given} :$ ↴

$\sf \: Selling \: price \: of \: the \: chair = Rs. \: 286$

$\sf \: Profit \: percent \: on \: that \: chair = 30 \: \%$

$\bf \: \underline{To \: find }:$ ↴

$\sf \: We \: have \: to \: find \: the \: cost \: price. \:$

$\bf \red{\star} \: \underline{ So, \: Let's \: Start} \: \red{\star}$

$\sf \: Formula \: to \: find \: CI \: when \: SI \: and \: Gain \: \% \: is \: given :$

$\boxed{\pink{\sf \: Cost \: Price = \dfrac{100}{100 + Gain \%} \: \times SP} }$

$\sf \: \underline{Putting \: the \: values}...$

$\sf \: \longrightarrow \: \dfrac{100}{100 + 30 } \: \times 286$

$\sf \: Add 100 and 30$

$\sf \: \longrightarrow \: \dfrac{100}{130 } \: \times 286$

$\sf \:Cancel\:the\:common \:factor \: of\:26$

$\sf \: \longrightarrow \: \dfrac{100}{5} \: \times 11$

$\sf \: Combine \: \dfrac{100}{5} \: and \: 11$

$\sf \: \longrightarrow \: \dfrac{100 \times 11}{5}$

$\sf \: Simplify \: the \: expression$

$\sf \: \longrightarrow \: \dfrac{1100}{5}$

$\sf \: Now, \: divide \: 1100 \: by \: 5$

$\sf \: \longrightarrow \: 220$

$\red{ \sf \: So, \: the \: Cost \: price = Rs. \: 220}$

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