The monthly incomes of two persons are in the ratio 4 : 5 and their monthly expenditures are in the ratio of 7 : 9. If each saves BDT 50 per month, find their monthly income.
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
1 (400 and 500)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Solution:
Let the monthly income of one person be 4x and that of the other be 5x
Let the monthly expenses of one person be 7y and that of other be 9y
According to the question,
4x - 7y= 50...................(1)
5x - 9y= 50....................(2)
(1) × 9 - (2) × 7
36x - 63y - 35x + 63y = 450 - 350
x = 100
Monthly income of one person
= 4 ×100 = 400
Monthly income of the other person
= 5 × 100 = 500