IDNLearn.com: Where questions are met with accurate and insightful answers. Discover prompt and accurate answers from our community of experienced professionals.
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.
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.
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. IDNLearn.com is your go-to source for accurate answers. Thanks for stopping by, and come back for more helpful information.