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Weekly incomes of two persons are in the ratio of 7 : 3 and their weekly expenses are in the ratio of 5 : 2. If each of...
Weekly incomes of two persons are in the ratio of 7 : 3 and their weekly expenses are in the ratio of 5 : 2. If each of them saves Rs. 300 per week, then the weekly income of the first person is ?
A
Rs.6000
B
Rs.7500
C
Rs.4500
D
Rs.5400
E
Rs.6300
A
Rs.6000
B
Rs.7500
C
Rs.4500
D
Rs.5400
E
Rs.6300
Solution
Let, the weekly income of 1st and 2nd person be 7k and 3k respectively.Let, the weekly expenses of 1st and 2nd person be 5m and 2m...
Let, the weekly income of 1st and 2nd person be 7k and 3k respectively.
Let, the weekly expenses of 1st and 2nd person be 5m and 2m respectively.
Given,
7k − 5m = 300 ——(1)
3k − 2m = 300 ——(2)
(Eq (2) × 5) − (Eq (1) × 2) we get
k = 900
Therefore, income of the 1st person = 7k = 7(900)
= Rs.6300
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