Using complements (with respect to 1) of the single discounts, find the net cost equivalent for the discount 25/10.

Answer:

The net cost equivalent for the discount 25/10 is 0.675.

Explanation:

• Net cost equivalent is the total amount in percentage that should be paid by customer after deducting the discount amount from the list price.
• TDS is the short form fro tax deducted source. The process for calculation of TDS is:

1. Here the discount is given as: 25/10 so,
2. Calculate (1-0.25) is equals to 0.75.
3. And (1-0.10) is equals to 0.90.
4. Using the formula as TDS : (1-0.25) × (1-0.10)
5. We get TDS as 0.675.

Final answer:

The net cost equivalent of a 25/10, or 2.5%, discount is 97.5%, which indicates the price after the discount is 97.5% of the original cost.

Explanation:

To find the net cost equivalent for a discount, we need to subtract the discount percentage from 100% and divide by the remaining percentage. In this case, the complement of the discount 25/10 is (100 - 25)/10 = 75/10. To find the net cost equivalent, we divide 100 by the complement: 100/(75/10) = 40/3 or 13.33.

The discount expressed as 25/10 can be written in terms of percent, translating to a 2.5% discount.
Now, to find the net cost equivalent, we use the concept of complements. The complement of a discount (with respect to 1) is simply 1 minus the discount rate.
Therefore, in this case, the net cost equivalent would be 1 - 0.025 = 0.975 or 97.5%. This means, after applying the discount, the price would be 97.5% of its original cost.

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