Question

successive discounts of 20% and 30% amount to a single discount of?​

Answer 1

Answer:

$\boxed{\text{Single Discount = 44 percent}}$

Step-by-step explanation:

$\boxed{\text{Let price of article be Rs. 100}}\\\\\text{Discount 1 = 20 percent}\\\\\text{Remaining: } 100 - \frac{20}{100} \text{ x } 100\\\\= 100 - 20\\\\= \boxed{\text{Remaining: Rs. 80}}\\\\\text{Discount 2 = 30 percent}\\\\\text{Remaining: } 80 - \frac{30}{100} \text{ x } 80\\\\= 80 - 24\\\\= \boxed{\text{Remaining: Rs. 56}}\\\\\text{Hence, single discount = 44 percent}\\\\\boxed{\text{Single Discount = 44 percent}}$

Hope this helps!

Answer 2

Answer:

44%

Step-by-step explanation:

Let the amount be 100 rs

Discount - 20% So the rs to be given is 80 rs

Now, again a discount of 30%

So the,amount to be given is 56 rs

Hence, at last the single discount is 100-56 =44%