The following table shows the total number of laptops sold by five different shops and the ratio of Dell laptops to HP laptops sold by each shop.

| Shop | Total Laptops Sold | Dell : HP Ratio |
|-------|--------------------|-----------------|
| P | 950 | 11 : 8 |
| Q | 850 | 8 : 9 |
| R | 1080 | 5 : 7 |
| S | 980 | 9 : 5 |
| T | 1150 | 12 : 11 |

What is the number of Dell laptops sold by shop R as a percentage of the number of HP laptops sold by shop P?

Question

The following table shows the total number of laptops sold by five different shops and the ratio of Dell laptops to HP laptops sold by each shop.

| Shop | Total Laptops Sold | Dell : HP Ratio |
|-------|--------------------|-----------------|
| P     | 950                | 11 : 8          |
| Q     | 850                | 8 : 9           |
| R     | 1080               | 5 : 7           |
| S     | 980                | 9 : 5           |
| T     | 1150               | 12 : 11         |

What is the number of Dell laptops sold by shop R as a percentage of the number of HP laptops sold by shop P?

Accepted Answer

**Solution:**

1. Calculate the number of Dell laptops sold by shop R.
   - The ratio of Dell to HP laptops at shop R is 5:7.
   - Total laptops sold by R = 1080.
   - Total parts = 5 + 7 = 12.
   - Number of Dell laptops = $ $\frac{5}{12} \times 1080 = 450$ $.

2. Calculate the number of HP laptops sold by shop P.
   - The ratio of Dell to HP laptops at shop P is 11:8.
   - Total laptops sold by P = 950.
   - Total parts = 11 + 8 = 19.
   - Number of HP laptops = $ $\frac{8}{19} \times 950 = 400 $$.

3. Find the percentage of Dell laptops sold by shop R with respect to HP laptops sold by shop P:
   $$
  $ \text{Percentage} = \left( \frac{450}{400} \right) \times 100 = 112.5\% $
   $$

**Answer:** 112.5\%

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