Question

If a plastic chair is being sold at a 35% profit for ₹202.50, at what price had it been bought ​

Answer 1

Given :

• Selling price of the plastic chair (SP) =Rs 202.50
• Profit% = 35%

To Find :

• Price at which the chair had been bought (CP) .

Solution:-

Formula used :

$\bigstar{ \boxed{ \tt{ \red{CP = \dfrac{100}{(100 + profit\%)} \times SP}}}} \bigstar$

Substituting the given values :

$: \implies{\tt{CP = \dfrac{100}{(100 + profit\%)} \times SP}} \\ \\ : \implies{\tt{CP = Rs \: \bigg [ \dfrac{100}{(100 + 35)} \times 202.50 \bigg ]}} \\ \\ : \implies{\tt{CP = Rs \: \bigg (\dfrac{100}{135} \times 202.50 \bigg )}} \\ \\ : \implies{\tt{CP = Rs \: \bigg ( \cancel{\dfrac{20250}{135} }\bigg )}} \\ \\ : \implies{ \boxed{\tt{CP = Rs \:150}}}$

$\therefore {\underline {\sf{\pink{Price\: at\: which\: it \:had\: been\: bought\: is\: Rs \:150.}}}}$

Answer 2

$\bigstar\sf\pink{Question \::}$

If a plastic chair is being sold at a 35% profit for ₹202.50, at what price had it been bought?

$\bigstar\sf\pink{Answer \::}$

Let CP be x

SP=202.50

SP=Profit+CP

202.50=${\sf{\frac{35x}{100}}}$+x

202.50=${\sf{\frac{135x}{100}}}$

202.50× ${\sf{\frac{100}{135}}}$=x

${\sf{\frac{20250}{100}}}$=x

150=x

CP=150