A dealer purchased a fan for Rs. 1080. After allowing a discount of 25

1.	A dealer purchased a fan for Rs. 1080. After allowing a discount of 25% on its marked price, he gains 25%. Find the marked price of the fan.
Answer» Cost Price = Rs.1080 Gain = 25% Selling Price = \(\frac{100\,+\,Gain\%%}{100}\times CP\) \(=\frac{100\,+\,25}{100}\times 1080\) = Rs.1350 Discount = 25% Let x be the market price. Market Price – Discount = Selling Price x – 25% of x = 1350 x – 25x/100 = 1350 75x/100 = 1350 X = (1350 × 100) / 75 = Rs.1800 So, Market Price of Fan is Rs.1800

A dealer purchased a fan for Rs. 1080. After allowing a discount of 25% on its marked price, he gains 25%. Find the marked price of the fan.

Answer»

Cost Price = Rs.1080

Gain = 25%

Selling Price = \(\frac{100\,+\,Gain\%%}{100}\times CP\)

\(=\frac{100\,+\,25}{100}\times 1080\)

= Rs.1350

Discount = 25%

Let x be the market price.

Market Price – Discount = Selling Price

x – 25% of x = 1350

x – 25x/100 = 1350

75x/100 = 1350

X = (1350 × 100) / 75

= Rs.1800

So, Market Price of Fan is Rs.1800