Answer :
To solve the problem of determining the potential loss if the land price decreases by 5/9% instead of 4% at the beginning of 2022, let's break down the steps:
1. Initial Price at the End of 2020:
- The initial price of the land at the end of 2020 is Rs 6,000,000.
2. Price Increase in 2021:
- The price of the land increased by 10% at the beginning of 2021.
- To find the new price:
[tex]\[
\text{Increased Price} = 6,000,000 + (6,000,000 \times 0.10) = 6,000,000 \times 1.10 = 6,600,000
\][/tex]
- So, the price of the land at the beginning of 2021 is Rs 6,600,000.
3. Price Decrease in 2022 (4% Decrease):
- The price decreased by 4% at the beginning of 2022.
- To find this price:
[tex]\[
\text{Price after 4% Decrease} = 6,600,000 - (6,600,000 \times 0.04) = 6,600,000 \times 0.96 = 6,336,000
\][/tex]
- Thus, the price after a 4% decrease is Rs 6,336,000.
4. Alternative Price Decrease in 2022 (5/9% Decrease):
- If the price decreases by 5/9%, we calculate as follows:
- First, find the percentage: [tex]\( \frac{5}{9} \%= \frac{5}{900} \)[/tex].
- Find the price after this decrease:
[tex]\[
\text{Price after 5/9% Decrease} = 6,600,000 \times \left(1 - \frac{5}{900}\right)
\][/tex]
- This calculates to Rs 6,563,333.33.
5. Calculate the Loss:
- The potential loss is the difference between the prices from a 4% decrease and a 5/9% decrease:
[tex]\[
\text{Loss} = 6,336,000 - 6,563,333.33 = -227,333.33
\][/tex]
- Thus, the loss if the price decreases by 5/9% instead of 4% would be Rs 227,333.33.
In summary, if the land price had decreased by 5/9% instead of 4%, the loss would be Rs 227,333.33.
1. Initial Price at the End of 2020:
- The initial price of the land at the end of 2020 is Rs 6,000,000.
2. Price Increase in 2021:
- The price of the land increased by 10% at the beginning of 2021.
- To find the new price:
[tex]\[
\text{Increased Price} = 6,000,000 + (6,000,000 \times 0.10) = 6,000,000 \times 1.10 = 6,600,000
\][/tex]
- So, the price of the land at the beginning of 2021 is Rs 6,600,000.
3. Price Decrease in 2022 (4% Decrease):
- The price decreased by 4% at the beginning of 2022.
- To find this price:
[tex]\[
\text{Price after 4% Decrease} = 6,600,000 - (6,600,000 \times 0.04) = 6,600,000 \times 0.96 = 6,336,000
\][/tex]
- Thus, the price after a 4% decrease is Rs 6,336,000.
4. Alternative Price Decrease in 2022 (5/9% Decrease):
- If the price decreases by 5/9%, we calculate as follows:
- First, find the percentage: [tex]\( \frac{5}{9} \%= \frac{5}{900} \)[/tex].
- Find the price after this decrease:
[tex]\[
\text{Price after 5/9% Decrease} = 6,600,000 \times \left(1 - \frac{5}{900}\right)
\][/tex]
- This calculates to Rs 6,563,333.33.
5. Calculate the Loss:
- The potential loss is the difference between the prices from a 4% decrease and a 5/9% decrease:
[tex]\[
\text{Loss} = 6,336,000 - 6,563,333.33 = -227,333.33
\][/tex]
- Thus, the loss if the price decreases by 5/9% instead of 4% would be Rs 227,333.33.
In summary, if the land price had decreased by 5/9% instead of 4%, the loss would be Rs 227,333.33.
