The ratio of annual income, savings and expenditure of Ramesh and Suresh are 7:5, 11:9 and 3:2 respectively. If the combined saving per year of both is Rs 10000, find the annual income of Ramesh.
Answers
Solution :-
Let, Income of Ramesh is Rs.7x and suresh is Rs.5x , also, expenditure of ramesh and suresh are Rs.3y and Rs.2y respectively .
so,
→ Income - Expenditure = saving
→ (7x - 3y)/(5x - 2y) = 11/9
→ 63x - 27y = 55x - 22y
→ 63x - 55x = 27y - 22y
→ 8x = 5y
→ y = (8x/5)
also,
→ combined saving = Rs.10000 .
→ (7x - 3y) + (5x - 2y) = 10000
→ 7x + 5x - 3y - 2y = 10000
→ 12x - 5y = 10000
putting value of y,
→ 12x - 5(8x/5) = 10000
→ 4x = 10000
→ x = 2500
therefore,
→ Ramesh annual income = 7x = 2500 * 7 = Rs.1,75,000 (Ans.)
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