Question

Explain which situation will give you the best price: a discount of 15% and then 10% off that amount, a discount of 10% and then 15% off that amount, or a discount of 25%.

Answer 1

Answer:

Step-by-step explanation:

Let X be the initial price and P be the final price.

#Given a discount of 15% then 10% of that amount:

$P_1=(1-o)[X(1-d)}\\\\=(1-0.15)[X(1-0.10)]\\\\=0.765X$

Hence, the finial price is 76.5% of the initial price.

#Given a discount of 10% then 15% of that amount:

$P_1=(1-o)[X(1-d)}\\\\=(1-0.15)[X(1-0.1)]\\\\=0.765X$

Hence, the finial price is 76.5% of the initial price.

#Given a discount of 25%

$P_1=(1-d)X\\\\=(1-0.25)X\\\\=0.75X$

Hence, the finial price is 75.0% of the initial price. It therefore give's the best price due to it's 25% price reduction.