Question

Tanya buys an electric iron for Rs.712.80, which includes two successive discounts 10%
and 4% respectively on the marked price and then 10% tax on the remaining.Find mp of the iron.

Answer 1

Answer:

mrp = 750

Step-by-step explanation:

let mrp be Rs x

$apply \: first \: discount \: \: \: \\ x - \frac{10}{100} x = y \\ apply \: second \: second \: discount \: \: \: \\ y - \frac{4}{100} y = z \\ apply \: \: tax \: \: \: \\ z + \frac{10}{100} z = 712.80$

$putting \: value \: of \: y \: from \: first \: eq \: in \: second \: eq \\ (x - \frac{10}{100} x) - \frac{4}{100} (x - \frac{10}{100} x) = z \\ 0.864x = z$

$putting \: value \: of \: z \: frm \: above \: in \: third \: eq \\ 0.864x + \frac{10}{100} (0.864x) = 712.80 \\ (0.864 + 0.0864)x = 712.80 \\ 0.9504x = 712.80 \\ x = 750$