the incomes of two persons a and b are in the ratio 3 4 if each saves | Examsbook

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Q: The incomes of two persons A and B are in the ratio 3 : 4. If each saves Rs.100 per month, the ratio of their expenditures is Rs. 1 : 2. Find their incomes.

1
Rs. 100 and Rs.150
2
Rs. 150 and Rs.200
3
Rs.200 and Rs.250
4
Rs.250 and Rs.300

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Answer : 2. "Rs. 150 and Rs.200"
Explanation :
Answer: B) Rs. 150 and Rs.200 Explanation: Let the incomes of A and B be 3P and 4P. If each saves Rs. 100 per month, then their expenditures = Income - savings = (3P - 100) and (4P - 100). The ratio of their expenditures is given as 1 : 2. Therefor, (3P - 100) : (4P - 100) = 1 : 2 Solving, We get P = 50. Substitute this value of P in 3P and 4P. Thus, their incomes are : Rs.150 and Rs.200

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