A man spends in 8 months as much as he earns in 6 months. He saves Rs. 6000 in a year. His average monthly income is:
Rs. 2000
Let the man's monthly income be Rs. \(x\).
In 6 months, he earns \(6x\).
In 8 months, he spends \(8x\).
Given that the amount he spends in 8 months is equal to the amount he earns in 6 months:
\(8y = 6x\)
where \(y\) is his monthly expenditure.
His annual saving is Rs. 6000. His annual income is \(12x\), and his annual expenditure is \(12y\).
Therefore, his annual saving can be expressed as:
\(12x - 12y = 6000\)
Dividing by 12:
\(x - y = 500\)
We know that \(8y = 6x\), so \(4y = 3x\), which means \(y = \frac{3}{4}x\).
Substitute this into \(x - y = 500\):
\(x - \frac{3}{4}x = 500\)
\(\frac{1}{4}x = 500\)
\(x = 2000\)
Therefore, his average monthly income is Rs. 2000.
Similar Questions
If the angles of a triangle are in the ratio of 2:3:4, then the difference of the measure of greatest angle and smallest angle is
In ΔABC, ∠A = 90°, AD ┴ BC and AD = BD = 2 cm. The length of CD is
A and B together can complete a work in 24 days. B alone does 1/3rd part of this work in 12 days. How many days will A alone take to complete the remaining work?
The heights of a cone and a cylinder are equal. The radii of their bases are in the ratio 2:1. The ratio of their volumes is:
In an ornament, the ratio of gold and copper is 3:2. The percentage of gold in the ornament is:
If , \(\sqrt{ 3^{n} } = 2187\) then the value of \( n \) is:
If \(x + \frac{1}{x} = 5\) , then find the value of \(\frac{6x}{ x^{2} + x +1} \)
In a right-angled triangle if the hypotenuse is 20 cm and the ratio of the other two sides is 4:3, the length of the sides are:
The least number which when divides 37044, gives the result a perfect cube, is:
If \( a = \sqrt{2} + 1 \) and \( b = \sqrt{2} - 1 \), then the value of \( \frac{1}{a+1} + \frac{1}{b+1} \) will be:
Important Questions from Geometry
If the angles of a triangle are in the ratio of 2:3:4, then the difference of the measure of greatest angle and smallest angle is
In ΔABC, ∠A = 90°, AD ┴ BC and AD = BD = 2 cm. The length of CD is
How many lines of symmetry does a rectangle have?
The number of diagonals in each face a cube is
Which of the following is/are the geometric figures with the line of symmetry?
I. Rectangle
II. Isosceles triangle
