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True [87]
3 years ago
7

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%.
Mathematics
1 answer:
Katarina [22]3 years ago
7 0

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.

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