In a clothing store there is a - 20% discount on all pants in the store. For customers with a membership there is a further 10% discount. Daniel wants to buy a pair of pants and has a membership card, the cost of the pants is 150 $: How much will Daniel need to pay in total?
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In a clothing store there is a - 20% discount on all pants in the store. For customers with a membership there is a further 10% discount. Daniel wants to buy a pair of pants and has a membership card, the cost of the pants is 150 $: How much will Daniel need to pay in total?
To solve this problem, we'll sequentially apply the discounts.
Step 1: Calculate the store discount (20% off).
Step 2: Apply the membership discount (additional 10% off) on the reduced price.
Let's calculate:
Step 1: The store discount is 20%, so the price after the store discount is:
\text{Price after 20\% discount} = \150 \times (1 - 0.20) \)
\text{Price after 20\% discount} = \150 \times 0.80 = \
Step 2: With the membership card, Daniel gets an extra 10% discount on the already reduced price of \( \.
\text{Price after additional 10\% discount} = \120 \times (1 - 0.10) \)
\text{Price after additional 10\% discount} = \120 \times 0.90 = \
Therefore, the total amount Daniel needs to pay is \108 \).
Hence, the correct choice is : 108 \, \ \).
108 $
Calculate 30 over 100 as a percentage:
Because the second discount applies to an already reduced price! When you get 10% off the 150), you save less money than if it applied to the full price.
Apply discounts in the order given in the problem. Here, the store discount comes first, then the membership discount applies to whatever price remains.
30% off once: Save 105
20% then 10% off: Save 108
Sequential discounts always save you less money than one big discount!
Yes! Multiply the remaining percentages:
So: \150 \times 0.80 \times 0.90 = \
Your final price should be between what each individual discount would give:
• 20% off alone: 135
Your answer (120 ✓
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