There are 2500 members in an organisation. If there is 10% increase and 10% decrease in first and second year, respectively. Then, find the number of members increase or decrease after two years.

Options

A. Neither increase nor decrease
B. Increase by 25 member
C. Decrease by 25 members
D. None of the above

Answer

To solve the problem step by step, we will calculate the number of members in the organization after each year and then find the overall increase or decrease after two years.

### Step 1: Calculate the number of members after the first year.
- Initial number of members = 2500
- Percentage increase in the first year = 10%

To find the increase in members:
\[ \text{Increase} = \frac{10}{100} \times 2500 = 250 \]

Now, add this increase to the initial number of members:
\[ \text{Members after first year} = 2500 + 250 = 2750 \]

### Step 2: Calculate the number of members after the second year.
- Number of members at the beginning of the second year = 2750
- Percentage decrease in the second year = 10%

To find the decrease in members:
\[ \text{Decrease} = \frac{10}{100} \times 2750 = 275 \]

Now, subtract this decrease from the number of members at the beginning of the second year:
\[ \text{Members after second year} = 2750 - 275 = 2475 \]

### Step 3: Calculate the overall change in the number of members after two years.
To find the overall change:
\[ \text{Change} = \text{Members after second year} - \text{Initial members} \]
\[ \text{Change} = 2475 - 2500 = -25 \]

### Conclusion:
The number of members decreased by 25 after two years.

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