What price should a shopkeeper mark on an article which costs him Rs 880 so as to gain 25% after - Maths - Comparing Quantities

Question

What price should a shopkeeper mark on an article which costs
him Rs 880 so as to gain 25% after allowing a discount of 12%

Poonam Mittal · Accepted Answer

Let the market price of the article be Rs.x

given that Discount % = 12%

then selling price (S.P) = market price (M.P) - discount (D)

⇒ S.P = x - 12% of x

⇒ $S . P = x - \frac{12}{100} x$

⇒ S.P = $x - \frac{3}{25} x$

⇒ S.P = $\frac{25 x - 3 x}{25}$

⇒ S..P = $\frac{22}{25} x$

he is still gaining profit

∴ cost price (C.P) = $\frac{100}{125} \times \frac{22}{25} x$

⇒ $880 = \frac{4}{125} \times 22 x$

⇒ $\frac{880 \times 125}{4 \times 22} = x$

⇒ x = 1250 Rs.

∴ market price of the article is Rs. 1250.

What price should a shopkeeper mark on an article which costs him Rs 880 so as to gain 25% after allowing a discount of 12% .