Question

Successive discounts of 30% and 20% is equivalent to a single discount of

Answer 1

Answer:

Single discount = 44%

Step-by-step explanation:

Let marked price of article be "x"

Now,

Selling Price after discount of a% on MP = MP - a% of MP

Hence:

On applying discount of 30%,

SP = x - 30% of x

     = x - 0.30*x

     = 0.70*x

On applying successive discount of 20%,

SP = 0.70*x - (20% of 0.70*x)

    = 0.70*x - (0.20*0.70*x)

    = (1 - 0.20)*0.70*x

    = 0.80*0.70*x

    = 0.56*x

    = x - 0.44*x

    = (1 - 0.44)*x

    = x - 0.44*x

    = x - (44% of x)

This means

Selling Price is MP less 44% of MP

=> Discount = 44%