Mathematics 10 — Exercise Review · Q10

Full question

A 15% discount gives D(p)=0.85p. Find the selling price for an original Rs2000 price.

Step-by-step solution

1. Replace every x in the function by the specified input.

   $$\frac{17}{20}\times 2000$$

2. Calculate this operation before combining the remaining terms.

   $$17\times 2000=34000$$

3. Calculate this operation before combining the remaining terms.

   $$20\times 1=20$$

4. For multiplication of fractions, multiply the numerators together and the denominators together.

   $$\frac{34000\times 1}{1\times 20}$$

5. Calculate this operation before combining the remaining terms.

   $$34000\times \frac{1}{20}=1700$$

6. For multiplication of fractions, multiply the numerators together and the denominators together.

   $$\frac{17\times 2000}{20\times 1}$$

7. Calculate these two products separately.

   $$\frac{34000}{20}$$

8. The numerator and denominator have this greatest common divisor. Divide BOTH by it.

   $$\mathrm{GCD}=20$$

9. For multiplication of fractions, multiply the numerators together and the denominators together.

   $$\frac{20\times 1}{1\times 20}$$

10. Calculate these two products separately.

    $$\frac{20}{20}$$

11. Show the two divisions explicitly.

    $$\frac{\frac{20}{20}}{\frac{20}{20}}$$

12. Write the reduced fraction.

    $$\frac{1}{1}$$

13. Calculate this operation before combining the remaining terms.

    $$20\times \frac{1}{20}=1$$

14. Calculate this operation before combining the remaining terms.

    $$\frac{1}{1}=1$$

15. Calculate this operation before combining the remaining terms.

    $$1700\times 1=1700$$

16. Show the two divisions explicitly.

    $$\frac{\frac{34000}{20}}{\frac{20}{20}}$$

17. Evaluate the numerator division.

    $$\frac{34000}{20}=1700$$

18. Evaluate the denominator division.

    $$\frac{20}{20}=1$$

19. Write the reduced fraction.

    $$1700\times \frac{1}{1}$$

20. Calculate this operation before combining the remaining terms.

    $$\frac{17}{20}\times 2000=1700$$

21. The computed output is the function value at this input.

    $$1700$$

Answer

The final answer is shown below.