Question

find a single discount equivalent to three successive discount of 20% 5% and 1%​

Answer 1

Let us take the cost of the article be ₹100.

Rate of the first discount = 20%

Then , cost of the article after discount

= ₹100 - ₹100×20%.

=₹100 × 80/100

=₹80.

Now, Rate of 2nd discount = 5% .

Then , cost of the article ager 2nd discount

=₹80 - ₹80×5/100.

=₹80 × 95/100.

=₹76.

Rate of third discount = 1%.

Then cost if article after 3rd discount =

₹76 × 99/100.

=₹75.24.

Therefore discount given =₹100 - ₹75.24 = ₹ 24.76

Therefore single equivalent discount = (₹24.76/₹100×100)%

= 24.76%.

Therefore the single equivalent discount to the above discountsis 24.76%.

=75.4%.

Answer 2

Answer:

Step-by-step explanation:

By using general formula:

we can solve like this;

Three successive discount =1-(1-r1/100)(1-r2/100)(1-r3/100)

where; r1= first rate

            r2=second rate

            r3=third rate

Solution:

r1=205

r2=5%

r3=1%

discount= 1-(1-20%/100)(1-5%/100)(1-1%/100)=24.76%