Question

A Superstone marks its goods by a certain percentage over the past price and then offers a discount of 40% using this method they make 5% profit find the percentage by which the goods are marked up

Answer 1

Answer:

Hey ,

Let the past price be Rs. Y.

Here , the company marks a percentage over past price .

Let this be X %.

Then , Actual price of Goods = Y + ( XY /100)

Now , S.P. = 60 % of Actual price = (3Y / 5 ) × {( 100 + X) / 100} which is equal to

= 3Y( 100 + X ) / 500.

Now , Profit = 5 % of Y = Y / 20.

According to question ,

Actual price - Marked price = Discount.

So ,

Y + ( XY / 100) - 3Y( 100 + X) / 500 = Y / 20.

Now , by easily solving this equation by L.C.M. and cross-multiplying , we get in last ,

175 = 97 X

Hence , X = 175 / 97

X = 1.8% (approx.)

Hope so it works , and check out the calculations because i haven't solved this by paper-pen( in mind )

But concept is right.