The ratio of incomes of Anshal and Sneha is 5 : 3 and that their expenditures is 8 : 5. If their savings are in the ratio of 2 : 1 and their total saving is Rs. 3,687, then the income of Anshal is:
The ratio of incomes of Anshal and Sneha is 5 : 3, let’s assume the incomes are 5x and 3x respectively.
Ratio of expenditures of Anshal and Sneha is 8 : 5, let the expenditures be 8y and 5y respectively.
? their savings are in ratio 2 : 1, Anshal’s saving = 2/3 × 3687 = 2458
Also, Sneha’s saving = 1229
∴ Saving of Anshal = 5x – 8y = 2458 ---- (i)
Saving of Sneha = 3x – 5y = 1229 ---- (ii)
Solving the two equations: we get: x = 2458, y = 1229
∴ Income’s Anshal = 5x = 5 × 2458 = 12290