The ratio of incomes of two persons is 9 : 7 and the ratio of their expenditures is 4 : 3. If each of them manages to save Rs 2000 per month, find their monthly incomes
Solution:
Given the ratio of the income is 9: 7 and the ratio of their expenditure is 4: 3.
Let the incomes of the persons be x and their expenditures be y.
⇒ The income of the people is 9x and 7x.
⇒ The expenditure of the persons is 4y and 3y.
If both of them manage to save Rs 2000 per month.
9x - 4y = 2000 be equation 1.
7x - 3y = 2000 be equation 2.
Step 1: Multiply equation 1 by 3 and equation 2 by 4.
27x - 12y = 6000 be equation 3
28x - 12y = 8000 be equation 4
Step 2: Subtract equation 3 from equation 4.
(28x - 12y = 8000) - (27x - 12y = 6000)
x = 2000
The monthly income of one person is 9x = 9 × 2000 = Rs 18,000 and that of another person is 7x = 7 × 2000 = Rs 14,000.
☛ Check: NCERT Solutions for Class 10 Maths Chapter 3
The ratio of incomes of two persons is 9 : 7 and the ratio of their expenditures is 4 : 3. If each of them manages to save Rs 2000 per month, find their monthly incomes
Summary:
The monthly incomes of the two persons, if the ratio of their incomes is 9 : 7 and the ratio of their expenditures is 4 : 3 is Rs 18,000 and Rs 14,000 respectively.
☛ Related Questions:
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