Which factory/factories showed a decrease of `25 %` in the production of scooters in `1989` as compared to `1988`?

Options

A. P
B. S
C. Q
D. R

Answer

To determine which factory or factories showed a decrease of 25% in the production of scooters in 1989 as compared to 1988, we will follow these steps:

### Step 1: Understand the Formula for Percentage Change
The formula for calculating the percentage change is:
\[ \text{Percentage Change} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100 \]
In this case, the "New Value" is the production in 1989, and the "Old Value" is the production in 1988.

### Step 2: Calculate the Percentage Change for Each Factory
We will calculate the percentage change for each factory based on the production values provided for 1988 and 1989.

1. **Factory P:**
- Production in 1988: 13
- Production in 1989: 17
\[ \text{Percentage Change} = \frac{17 - 13}{13} \times 100 = \frac{4}{13} \times 100 \approx 30.76\% \]
(This is an increase, not a decrease.)

2. **Factory Q:**
- Production in 1988: 98
- Production in 1989: 75
\[ \text{Percentage Change} = \frac{75 - 98}{98} \times 100 = \frac{-23}{98} \times 100 \approx -23.47\% \]
(This is a decrease, but not 25%.)

3. **Factory R:**
- Production in 1988: 16
- Production in 1989: 12
\[ \text{Percentage Change} = \frac{12 - 16}{16} \times 100 = \frac{-4}{16} \times 100 = -25\% \]
(This is a decrease of 25%.)

4. **Factory S:**
- Production in 1988: 12
- Production in 1989: 22
\[ \text{Percentage Change} = \frac{22 - 12}{12} \times 100 = \frac{10}{12} \times 100 \approx 83.33\% \]
(This is an increase, not a decrease.)

5. **Factory T:**
- Production in 1988: 41
- Production in 1989: 35
\[ \text{Percentage Change} = \frac{35 - 41}{41} \times 100 = \frac{-6}{41} \times 100 \approx -14.63\% \]
(This is a decrease, but not 25%.)

### Step 3: Identify Factories with a 25% Decrease
From our calculations, only **Factory R** showed a decrease of exactly 25% in production from 1988 to 1989.

### Conclusion
The factory that showed a decrease of 25% in the production of scooters in 1989 compared to 1988 is **Factory R**.

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