Question

successive discount of 10% 20% and 50 %
will be a equivalent to a single discount of _
pls anybody ans this question ​

Answer 1

Topic

Profit and Loss

Given

Successive discount of 10%, 20% and 50% is given on an object.

To Find

Equivalent discount.

Formula to be Used

Cost price after discount is

Cost = Original Price - Discount Price

Solution

Let the price of object be 'x'.

So,

Cost of object after discount of 10% will be

x - 10x/100 = 9x/10

Now,

Cost of object after discount of 20% will be

9x/10 - 20(9x)/ 1000 = 36x/50 = 18x/25

Now,

Cost of object after discount of 50% will be

18x/25 - 50(18x)/2500 = 9x/25

So, the price of object after successive discount is 9x/25 = 0.36x.

It means total discount provided is

x - 0.36x = 0.64x

that means total 64% discount was given.

So,

When single discount will be provided then it will be equivalent to 64%.

Answer

Equivalent Discount of successive discount is 64%.

Note :- After every subsequent discount, we will take Cost after discount in place of Original Price in Formula.