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Eight copies of a book can be bought for a certain sum payable at the end of a year and ten copies of the same book can be
bought for the same sum in cash money. What is the rate percentage of the interest?
30%
25%
10%
15%
- You're buying eight copies of a book on credit to be paid after one year. You can also buy ten copies right now with cash for the same amount.
- This implies there's extra cost (interest) when buying on credit because you get fewer copies.
- Let's denote the total cash price for 10 copies as S. Since 8 copies are equated to the same amount after adding interest, the price per copy remains constant.
- After one year, the cost for 8 copies amounts to S, so the price for 8 copies =8×price per copy=810S.
- The difference between the year-end payment and cash payment is taken as interest.
- Interest is S−810S=210S=15S.
- The rate percentage of the interest can be calculated as (1/58/10)×100=25%.
- Therefore, Option 2 is the correct choice: 25%.
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