Question

When a discount of 15% is allowed on the marked price of an article, it is sold for rs 2975.
Calculate its marked price. Give
asked price. Given that the marked price is 40% above the cost price of the article,
calculate
(i)its cost price
(ii) the profit in made by the sale of the article​

Answer 1

Answer:

i) C.P = ₹2500

ii) Profit = ₹475

Explanation:

Let Marked Price of the article be x

Discount = 15% of MP

$\sf \qquad \: \: \: = \dfrac{15}{100} \times x$

$\sf \qquad \: \: \: = \dfrac{15x}{100}$

S.P = M.P - Discount

$\sf \: 2975 = x - \dfrac{15x}{100} \\ \sf \: 2975 = \dfrac{100x - 15x}{100} \\ \sf \: 2975 = \dfrac{85x}{100} \\ \sf \: x = \frac{2975 \times 100}{85} \\ \sf \: x = 3500$

$\sf M.P = C.P + 40\% \: of \: C.P \\ \sf \: let \: C.P = y \\ \sf \: 3500 = y + \frac{40y}{100} \\ \sf \: 3500 = \frac{100y + 40y}{100} \\ \sf \: 3500 = \frac{140y}{100} \\ \sf \: y = \frac{3500 \times 100}{140}$

$\sf{\fbox{C.P = 2500 }}$

Profit = S.P - C.P

$\sf\qquad{=2975-2500}$

$\sf{\fbox{Profit = 475}}$

Answer 2

$\huge{\textbf{\underline{\red{Solution is attached here.}}}}$