Question

1. Ravi pays 2,800 for a fan listed at 4,000. There were two successive discounts offered on the fan. If
one of them is 20% find the other discount percent.​

Answer 1

Answer:

The other discount is 12.5%

Step-by-step explanation:

Marked Price of fan = Rs 4000

Selling Price of fan = Rs 2800

Total discount = Marked Price - Selling Price

Total discount = Rs 4000 - Rs 2800

Total discount = Rs 1200

Total discount percentage is

\begin{gathered}Discount\%=\frac{Discount}{MP} \times 100\\\\ Discount% = \frac{1200}{4000} \times 100\\\\ Discount\% = 30\%\end{gathered}

Given that successive discounts were offered on fan

D1% = 20%

Formula for successive is as follow:

Total\hspace{0.1cm}Discount\% = x + y -\frac{xy}{100}TotalDiscount%=x+y−100xy

where x, y are discount%

We have

x = 20%

Total Discount = 30%

Substituting the values, we get

\begin{gathered} 30 = 20 + y - \frac{20y}{100}\\\\30 - 20 = y - \frac{y}{5}\\\\10 = y -\frac{y}{5}\\\\ 5y - y = 50\\\4y = 50\\\\y = 12.5\%\end{gathered}30=20+y−10020y30−20=y−5y10=y−5y5y−y=50\4y=50y=12.5%

Thus, other discount is 12.5%