Calculate the value of $$\frac{32.99 imes 41.89 imes 4.98}{10.93 imes 14.88 + 13.97}$$ as a percentage of 279.88.

Question

Calculate the value of $$\frac{32.99 	imes 41.89 	imes 4.98}{10.93 	imes 14.88 + 13.97}$$ as a percentage of 279.88.

Accepted Answer

**Solution:**

1. Calculate the numerator:
   - Multiply the numbers: $32.99 	imes 41.89 	imes 4.98$

Approximating each:
   - $32.99 \approx 33$
   - $41.89 \approx 42$
   - $4.98 \approx 5$

So, numerator $\approx 33 	imes 42 	imes 5 = 33 	imes 210 = 6930$

2. Calculate the denominator:
   - Multiply $10.93 	imes 14.88$ and then add $13.97$

Approximating:
   - $10.93 \approx 11$
   - $14.88 \approx 15$

So, $11 	imes 15 = 165$

Adding $13.97 \approx 14$, denominator $\approx 165 + 14 = 179$

3. Calculate the fraction:
   $$\frac{6930}{179} \approx 38.7$$

4. Now, find what percentage this is of $279.88$:
   $$\frac{38.7}{279.88} 	imes 100 \approx 13.83\%$$

5. Among the given options, $15\%$ is the closest value.

**Answer:** 15\%

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