Determine the combined savings of 'Arvind' and 'Bishma'

Solution

ATQ, We can say that the salary of ‘Arvind’ be Rs. ‘2a’ Expenditure of ‘Bishma’ = 2a ÷ 2 = Rs. ‘a’ Let the expenditure of ‘Arvind’ be Rs. ‘3b’ savings of ‘Bishma’ = 3b ÷ 3 = Rs. ‘b’ ATQ, 2a – 3b + 3000 = a + b Or, 3000 = 4b – a ………… (I) Also, a + 3b = 7500 …………… (II) On adding equation (I) and (II), we have; 7b = 10500 Or, b = 1500 Putting b = 1500 in equation (I), we have Or, a = 4 × 1500 – 3000 So, a = 3000 Savings of ‘Bishma’ = 1500 Savings of ‘Arvind’ = 2a – 3b = 2 × 3000 – 3 × 1500 = 1500 Hence required sum = 1500 + 1500  = Rs. 3,000