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Anjan earns double of Kiran, and Raj earns double of Anjan. Altogether, they earned 14000. How much did each earn?

Sagot :

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.