Question

which gives the customer a better deal succesive discount of 20 percent and 10percent or clear discount of 25 percent and by how much ?
please do it fast , step by step . ​

Answer 1

Answer:

Let the original value be x

Value after 2 successive discount:

20% of x = 0.2x

Value after 20% = x - 0.2x = 0.8x

5% of 0.8x = 0.05(0.8x) = 0.04x

Value after 5% discount = 0.8x - 0.04x = 0.76x

Value of a single 25% discount:

Discount = 25% of x = 0.25x

Value after discount = x - 0.25x = 0.75x

Compare the two values:

0.75x < 0.76x

⇒ a single discount is a better deal

Answer: A single discount is a better deal.