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gsm8k-0015

1.000
1/1 tests· math
Challenge · difficulty 2/5
# GSM8K Problem 16

A merchant wants to make a choice of purchase between 2 purchase plans: jewelry worth $5,000 or electronic gadgets worth $8,000. His financial advisor speculates that the jewelry market will go up 2.5% while the electronic gadgets market will rise 1.2% within the same month. If the merchant is looking to maximize profit at the end of this month by making a choice, how much profit would this be?

Reason step by step, then give ONLY the final answer on the last line as \boxed{ANSWER}.

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Proposed solution
I need to calculate the profit for each purchase plan and compare them.

Let me analyze both options:

Option 1: Jewelry worth $5,000
- Current value: $5,000
- Market will go up by 2.5%
- Profit = $5,000 × 2.5% = $5,000 × 0.025 = $125

Option 2: Electronic gadgets worth $8,000
- Current value: $8,000
- Market will go up by 1.2%
- Profit = $8,000 × 1.2% = $8,000 × 0.012 = $96

Now I need to compare the profits:
- Jewelry profit: $125
- Electronic gadgets profit: $96

Since $125 > $96, the merchant should choose the jewelry option to maximize profit.

The maximum profit would be $125.

$\boxed{125}$