Question

) Monthly incomes of Romesh and Sumesh are
in the ratio of 4:3 and their expenditure in
the ratio 3:2. If each saves * 600 per month,
find the monthly income of each.
(u) A, B, C together start a business, A invests
20000 for 3 months, B * 35000 for
4 months and C invests * 45000 for
6 months. If they together earn 7050, find
the share of each.​

Answer 1

Step-by-step explanation:

Given Monthly incomes of Romesh and Sumesh are  in the ratio of 4:3 and their expenditure in  the ratio 3:2. If each saves * 600 per month,  find the monthly income of each.

• Let income of Romesh and Sumesh be 4x and 3x and expenditure be 3y and 2y
• According to the question 4x – 3y = 600 multiply by 3
•                                Also  3x – 2y = 600 multiply by 4
• So equation will be 12x – 9y = 1800
•                                12x – 8y = 2400
•                 So we get       - y = - 600
•                         Or y = 600
•           12x – 9y = 1800
•            12x – 9(600) = 1800
•             12x = 1800 + 5400
•            12x = 7200
•                 Or x = 7200 / 12
•                Or x = 600
•  Therefore income will be 4 (600) = 2400 and 3(600) = 1800
• Therefore monthly income will be Rs 2400 and Rs 1800
• Given A, B, C together start a business, A invests  20000 for 3 months, B * 35000 for  4 months and C invests * 45000 for  6 months. If they together earn 7050, find  the share of each.
• So 20000 x 3 : 35000 x 4: 45000 x 6
• So 20 x 3 : 35 x 4: 45 x 6
•    600 : 140 : 270
•   300 : 70 : 135
•       60 : 14 : 27
• So there are 60 + 14 + 27 = 102 parts of profit
• So share of each will be 60, 14 and 27 parts
• Now total profit is 7050
• So share of A = 60 / 102 x 7050 = 4147
• Share of B = 14 / 102 x 7050 = 967.64
• Share of C = 27 / 102 x 7050 = 1866.17

Reference link will be

https://brainly.in/question/4535453

https://brainly.in/question/12208755