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If the weight of rocket S without satellites is 12.5% more than the total weight of the satellites carried by rocket S, and the weight of rocket U without satellites is 5% more than the total weight of the satellites carried by rocket U, then find how much percent more or less the weight of rocket U without satellites is than that of rocket S without satellites.

1. 5.78%
2. 12.21%
3. 10%
4. 2.24%

Correct answer: 5.78%

Solution

Let the satellite weights be equal for comparison. Then rocket S without satellites is 1.125 times its satellite weight, while rocket U without satellites is 1.05 times its satellite weight. Comparing these gives the required percentage difference as 5.78% less than S.

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