Question

a) A painting is purchased for R2,000 and sold for 2,400. At what price should the painting be sold to double the profit percentage​

Answer 1

❄️ Solution :

C.P = 2,000

S,P = 2,400

Profit = 2,400 – 2,000 = 400

$\\ \sf Profit \: \% \: = ( \frac{400}{2000} \times 100)\% \\ \\ \sf= 20\%$

As given so the new profit % will be 40 %

So, let the new S.P be x.

$\\ \twoheadrightarrow \: \sf Profit \: \% \: = \: ( \frac{Profit}{C.P} \times 100)\% \\ \\ \twoheadrightarrow \: \sf40 = ( \frac{x}{2 \cancel{0}\cancel{0}} \times 1\cancel{0}\cancel{0})\% \\ \\ \twoheadrightarrow \: \sf40 \times 20 = x \\ \\ \twoheadrightarrow \: \sf \: x = ₹ ~800$

So, the new S.P is :

→ C.P + Profit

→ 2000 + 800

→ ₹ 2,800

❄️ Answer :

To double the profit percentage the painting should be sold at the price of ₹ 2,800.