Question

The single discount % which is equal to 2 successive discounts of 20% and 25% is

Answer 1

Answer:Consider the original price as x,

After allowing 20% discount,

The price will now be,

⇒ x - 20% of x

⇒ 80% of x

⇒ 80/100 * x

⇒ 0.8 x

Now The price is 0.8x,

Another discount of 25% is allowed,

The price will now be,

⇒ 0.8x - 25% of ( 0.8x)

⇒ 0.8 x - 0.2 x

⇒ 0.6 x

⇒ 60% of x

The original cost was x

Cost after two successive discounts = 0.6 x

⇒Total discount = x - 0.6x

⇒ Total discount = 0.4 x

⇒ Total discount = 40% of x

Therefore, Two successive discounts of 20% and 25% are equivalent to a single discount of 40%

Step-by-step explanation: