Question

what Is the successive rate of discount?​

Answer 1

$Question:$

A dealer offers a discount of 10% and 20%. What is the single equivalent rate of discount?

$Solution:$

Let the single equivalent discount be D%.

Given :

• D₁ = 10%.
• D₂ = 20%.

We know that ,

$(1-\frac{D}{100} )=(1-\frac{D_1}{100} )(1-\frac{D_2}{100} )....$

$=>1-\frac{D}{100} =(1-\frac{10}{100} )(1-\frac{20}{100} )\\\\=>\frac{100-D}{100} =(\frac{100-10}{100})(\frac{100-20}{100} )\\\\=>\frac{100-D}{100} =\frac{90}{100}*\frac{80}{100}\\\\=>100-D=72\\\\=>D=100-72\\\\D=18percent.$