
3% commission on the sale of the property is Rs. 42,660. What is the total value of the property?
(a)Rs. 14,00,100
(b) Rs. 14,00,000
(c) Rs. 10,22,000
(d) Rs. 14,22,000
Answer
513.6k+ views
Hint: Let us take the total value of the property to be x. Then commission on the sale of the property can be taken as 3% of x, which is given in the question as Rs. 42,660.
Complete step-by-step answer:
Before proceeding to the question, we must know how to deal with the questions involving the concept of percentage. Percentage means parts per 100, like for example, 10% means $\dfrac{10}{100}$ and 25% means $\dfrac{25}{100}$.
In this question, we have been given that the commission percentage on the sale of a property is 3% and the amount is Rs. 42,660. We have to find the total value of the property.
Let us assume the total value of the property to be x.
As it is mentioned, 3% commission on the sale of the property is Rs. 42,660. So, we can use the knowledge of percentages and apply the same here.
Therefore, we can write the given information in the form of an equation as shown below,
3% of x = 42,660
As we know that percentage means parts per hundred, we can write 3% as in the equation below,
$\therefore \dfrac{3}{100}\times x=42,660$
After cross-multiplying we get,
$\Rightarrow 3x=42,660\times 100$
Taking constants on right-hand-side and variables on left-hand-side we get,
$\Rightarrow x=\dfrac{42,660\times 100}{3}$
After the cancellation we get,
$\Rightarrow x=14,22,000$
Therefore, we have found out the total value of the property as Rs. 14,22,000.
Hence, the correct answer is option (d).
Note: One must remember that percentage is always found in terms of hundred, as the definition of percentage is parts per hundred. This is a very basic question which can be solved by using the concept of percentages. The only mistake that can be done here is that reading the question wrongly and taking 3% of Rs. 42,660 as the total value of the property.
Complete step-by-step answer:
Before proceeding to the question, we must know how to deal with the questions involving the concept of percentage. Percentage means parts per 100, like for example, 10% means $\dfrac{10}{100}$ and 25% means $\dfrac{25}{100}$.
In this question, we have been given that the commission percentage on the sale of a property is 3% and the amount is Rs. 42,660. We have to find the total value of the property.
Let us assume the total value of the property to be x.
As it is mentioned, 3% commission on the sale of the property is Rs. 42,660. So, we can use the knowledge of percentages and apply the same here.
Therefore, we can write the given information in the form of an equation as shown below,
3% of x = 42,660
As we know that percentage means parts per hundred, we can write 3% as in the equation below,
$\therefore \dfrac{3}{100}\times x=42,660$
After cross-multiplying we get,
$\Rightarrow 3x=42,660\times 100$
Taking constants on right-hand-side and variables on left-hand-side we get,
$\Rightarrow x=\dfrac{42,660\times 100}{3}$
After the cancellation we get,
$\Rightarrow x=14,22,000$
Therefore, we have found out the total value of the property as Rs. 14,22,000.
Hence, the correct answer is option (d).
Note: One must remember that percentage is always found in terms of hundred, as the definition of percentage is parts per hundred. This is a very basic question which can be solved by using the concept of percentages. The only mistake that can be done here is that reading the question wrongly and taking 3% of Rs. 42,660 as the total value of the property.
Recently Updated Pages
What percentage of the area in India is covered by class 10 social science CBSE

The area of a 6m wide road outside a garden in all class 10 maths CBSE

What is the electric flux through a cube of side 1 class 10 physics CBSE

If one root of x2 x k 0 maybe the square of the other class 10 maths CBSE

The radius and height of a cylinder are in the ratio class 10 maths CBSE

An almirah is sold for 5400 Rs after allowing a discount class 10 maths CBSE

Trending doubts
For Frost what do fire and ice stand for Here are some class 10 english CBSE

What did the military generals do How did their attitude class 10 english CBSE

What did being free mean to Mandela as a boy and as class 10 english CBSE

What did Valli find about the bus journey How did she class 10 english CBSE

Can you say how 10th May is an Autumn day in South class 10 english CBSE

Explain the Treaty of Vienna of 1815 class 10 social science CBSE
