Given the information about their earnings, let's break down the problem step-by-step to find out how much Kiran, Anjan, and Raj each earned.
1. Let's denote Kiran's earnings as [tex]\( x \)[/tex]:
[tex]\[
\text{Kiran's earnings} = x
\][/tex]
2. Anjan earns double of what Kiran earns, so:
[tex]\[
\text{Anjan's earnings} = 2x
\][/tex]
3. Raj earns double of what Anjan earns, so:
[tex]\[
\text{Raj's earnings} = 2 \times (2x) = 4x
\][/tex]
4. The total earnings of Kiran, Anjan, and Raj is given as 14000:
[tex]\[
x + 2x + 4x = 14000
\][/tex]
5. Combine like terms to simplify the equation:
[tex]\[
7x = 14000
\][/tex]
6. Solve for [tex]\( x \)[/tex], which represents Kiran's earnings:
[tex]\[
x = \frac{14000}{7} = 2000
\][/tex]
7. Now, calculate Anjan's earnings, which is double of Kiran's earnings:
[tex]\[
\text{Anjan's earnings} = 2x = 2 \times 2000 = 4000
\][/tex]
8. Finally, calculate Raj's earnings, which is double of Anjan's earnings:
[tex]\[
\text{Raj's earnings} = 4x = 4 \times 2000 = 8000
\][/tex]
So, the earnings for each person are:
- Kiran earned 2000.
- Anjan earned 4000.
- Raj earned 8000.
