The average monthly income of the father and mother is Rs 5,000. The average monthly income of the mother and her son in Rs 6,000. The average monthly income of the father and his son is Rs 10,000. Find the monthly income (in Rs) of the father.
This questions was previously asked in
ssc cgl 2023 pre
Explanation:
Let's break it down:
- Let father's income = F, mother's = M, son's = S
- Avg of father & mother = (F + M)/2 = 5000 ? F + M = 10000
- Avg of mother & son = (M + S)/2 = 6000 ? M + S = 12000
- Avg of father & son = (F + S)/2 = 10000 ? F + S = 20000
Now, add equations:
F + M = 10000,
M + S = 12000,
F + S = 20000
Add all: (F + M) + (M + S) + (F + S) = 10000 + 12000 + 20000
2F + 2M + 2S = 42000 ? F + M + S = 21000
Now,
F + M = 10000 ? S = 11000
M + S = 12000 ? F = 9000
F + S = 20000 ? M = 10000
Correct Answer: Option 1, 9000
- Father's income is Rs 9,000.
- Option 1 is correct.
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By: Parvesh Mehta