Answer :
Let's solve these two questions step-by-step.
### a) Calculating the Rate of Commission
The given data are:
- Commission received: Rs 30,000 (30 thousands)
- Sale price of the second-hand taxi: Rs 12,00,000 (12 lakhs)
We need to find the rate of commission in percentage.
The formula to calculate the rate of commission is:
[tex]\[ \text{Rate of Commission} = \left( \frac{\text{Commission Received}}{\text{Sale Price}} \right) \times 100 \][/tex]
Now, plug in the given values:
[tex]\[ \text{Rate of Commission} = \left( \frac{30,000}{12,00,000} \right) \times 100 \][/tex]
First, simplify the fraction:
[tex]\[ \frac{30,000}{12,00,000} = \frac{3}{120} = \frac{1}{40} \][/tex]
Then, convert the fraction to a percentage by multiplying by 100:
[tex]\[ \frac{1}{40} \times 100 = 2.5 \][/tex]
So, the rate of commission the sales agent received is 2.5%.
### b) Calculating the Additional Price Above the Fixed Cost (Clarify)
The question is a bit incomplete or unclear. It starts with a statement but does not provide specific instructions or ask a clear question about what to do with the fixed cost. Let's break it down and try to guess what could be asked based on the information provided so far:
- Fixed cost of the building: Rs 27,50,400
Possible operations or additional details could be related to calculating additional costs, profits, commission rates, or changes in the fixed cost.
Example Scenario: Finding Additional Price or Markup Percentage
1. Markup Price Scenario:
If the owner wants to sell the building at a higher price than the fixed cost and the additional price they add is, let's say, Rs 4,00,000, how would you calculate the selling price?
[tex]\[ \text{Selling Price} = \text{Fixed Cost} + \text{Additional Price} \][/tex]
Using the numbers:
[tex]\[ \text{Selling Price} = 27,50,400 + 4,00,000 = 31,50,400 \][/tex]
2. Markup Percentage Scenario:
Suppose the owner decides to mark up the cost by adding a certain percentage. If the markup percentage is 10%, you can calculate the markup amount and the final price like this:
[tex]\[ \text{Markup Amount} = \text{Fixed Cost} \times \left( \frac{\text{Markup Percentage}}{100} \right) \][/tex]
[tex]\[ \text{Markup Amount} = 27,50,400 \times \left( \frac{10}{100} \right) = 2,75,040 \][/tex]
[tex]\[ \text{Selling Price} = \text{Fixed Cost} + \text{Markup Amount} = 27,50,400 + 2,75,040 = 30,25,440 \][/tex]
Without more specific instructions in part (b), these scenarios illustrate the typical calculations involved in markup pricing. To proceed further, you'd need clear instructions on what exactly is being asked about the fixed cost of Rs 27,50,400.
### a) Calculating the Rate of Commission
The given data are:
- Commission received: Rs 30,000 (30 thousands)
- Sale price of the second-hand taxi: Rs 12,00,000 (12 lakhs)
We need to find the rate of commission in percentage.
The formula to calculate the rate of commission is:
[tex]\[ \text{Rate of Commission} = \left( \frac{\text{Commission Received}}{\text{Sale Price}} \right) \times 100 \][/tex]
Now, plug in the given values:
[tex]\[ \text{Rate of Commission} = \left( \frac{30,000}{12,00,000} \right) \times 100 \][/tex]
First, simplify the fraction:
[tex]\[ \frac{30,000}{12,00,000} = \frac{3}{120} = \frac{1}{40} \][/tex]
Then, convert the fraction to a percentage by multiplying by 100:
[tex]\[ \frac{1}{40} \times 100 = 2.5 \][/tex]
So, the rate of commission the sales agent received is 2.5%.
### b) Calculating the Additional Price Above the Fixed Cost (Clarify)
The question is a bit incomplete or unclear. It starts with a statement but does not provide specific instructions or ask a clear question about what to do with the fixed cost. Let's break it down and try to guess what could be asked based on the information provided so far:
- Fixed cost of the building: Rs 27,50,400
Possible operations or additional details could be related to calculating additional costs, profits, commission rates, or changes in the fixed cost.
Example Scenario: Finding Additional Price or Markup Percentage
1. Markup Price Scenario:
If the owner wants to sell the building at a higher price than the fixed cost and the additional price they add is, let's say, Rs 4,00,000, how would you calculate the selling price?
[tex]\[ \text{Selling Price} = \text{Fixed Cost} + \text{Additional Price} \][/tex]
Using the numbers:
[tex]\[ \text{Selling Price} = 27,50,400 + 4,00,000 = 31,50,400 \][/tex]
2. Markup Percentage Scenario:
Suppose the owner decides to mark up the cost by adding a certain percentage. If the markup percentage is 10%, you can calculate the markup amount and the final price like this:
[tex]\[ \text{Markup Amount} = \text{Fixed Cost} \times \left( \frac{\text{Markup Percentage}}{100} \right) \][/tex]
[tex]\[ \text{Markup Amount} = 27,50,400 \times \left( \frac{10}{100} \right) = 2,75,040 \][/tex]
[tex]\[ \text{Selling Price} = \text{Fixed Cost} + \text{Markup Amount} = 27,50,400 + 2,75,040 = 30,25,440 \][/tex]
Without more specific instructions in part (b), these scenarios illustrate the typical calculations involved in markup pricing. To proceed further, you'd need clear instructions on what exactly is being asked about the fixed cost of Rs 27,50,400.
