The monthly income of Shyama and Kamal together is Rs.28000. The incom...
E. Rs.15000 Explanation: The monthly income of Shyama and Kamal => S + K = 28000 —(1) Shyama’s income = x; Kamal’s income = 28000 – x.
K = 120/100 * S —(2)
S’s new income = (28000 – x)*112.5/100 K’s new income = x * 125/100 (28000 – x)*112.5/100 = x * 125/100 x = 12000 New Income of Shyama = 125% of 12000 = 15000
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The monthly income of Shyama and Kamal together is Rs.28000. The incom...
E. Rs.15000 Explanation: The monthly income of Shyama and Kamal => S + K = 28000 —(1) Shyama’s income = x; Kamal’s income = 28000 – x.
K = 120/100 * S —(2)
S’s new income = (28000 – x)*112.5/100 K’s new income = x * 125/100 (28000 – x)*112.5/100 = x * 125/100 x = 12000 New Income of Shyama = 125% of 12000 = 15000
The monthly income of Shyama and Kamal together is Rs.28000. The incom...
Given information:
- Monthly income of Shyama and Kamal together = Rs. 28000
- Shyama's income increases by 25%
- Kamal's income increases by 12.5%
- Kamal's new income is 120% of Shyama's new income
To find: New income of Shyama
Solution:
Let the initial income of Shyama and Kamal be S and K respectively.
From the given information, we can write two equations:
- S + K = 28000 (equation 1)
- 1.25S = x (equation 2) - Shyama's new income
- 1.125K = 1.2x (equation 3) - Kamal's new income
We need to find the value of x (Shyama's new income), which will give us the answer.
Substituting equation 2 and 3 in equation 1, we get:
1.25S + 1.125K = 28000
Substituting the value of K from equation 3, we get:
1.25S + 1.125(1.2x) = 28000
Simplifying, we get:
1.25S + 1.35x = 28000
Substituting the value of 1.25S from equation 2, we get:
x + 1.35x = 28000/1.25
Simplifying, we get:
2.35x = 22400
x = 22400/2.35 = 9500
Therefore, Shyama's new income = Rs. 9500
Answer: Option E - Rs. 15000