Question
In 2021, ratio of salaries of 'Abhi' and 'Mohani' was
8:5, individually while the ratio of their expenses was 5:3, individually and savings of 'Abhi' is Rs.5,000 more than that of 'Mohani'. In 2022, expenditure of 'Abhi' increases by 12% while his salary remains the same. If the savings of 'Abhi' in 2022 was Rs. 2,000 more than that of 'Mohani' in 2021, then find the expenses of 'Mohani' in 2021.Solution
ATQ, we can say that Let the salaries of 'Abhi' and 'Mohani' in 2021, be Rs '8x' and Rs.'5x' respectively. Let the expenses of 'Abhi' and 'Mohani', in 2021, be Rs.'5y' and Rs.'3y' respectively. Savings of 'Abhi' in 2021 = Rs. (8x - 5y) Savings of 'Mohani' in 2021 = Rs. (5x - 3y) (8x - 5y) - (5x - 3y) = 5000 Or, 3x - 2y = 5000 ....... (I) Expenses of 'Abhi' in 2022 = (5y × 1.12) = Rs. '5.6y' So, savings of 'Abhi' in 2022 = Rs. (8x - 5.6y) (8x - 5.6y) - (5x - 3y) = 2000 Or, 3x - 2.6y = 2000 ...... (II) On subtracting equation (II) from equation (I), we have; 0.6y = 3000 So, y = 5000 So, expenditure of 'Mohani' in 2020 = 3 × 5000 = Rs. 15,000
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