A and b earn in the ratio 2 :1. They spend in the ratio 5 : 3 and save in the ratio 4:1. If the total monthly savings of both a and b are rs. 5,000, the monthly income of b is
Answers
Answer:
Explanation:
Question : A and b earn in the ratio 2 :1. They spend in the ratio 5 : 3 and save in the ratio 4:1. If the total monthly savings of both a and b are rs. 5,000, the monthly income of b is
Answer : see in the image attached
Answer:
Rs 7000
Explanation:
Given : Earning ratio of A & B is 2 : 1
Spending ratio of A & B is 5 : 3
Savings ratio of A & B is 4 : 1
Total savings A & B is Rs 5000
Solution :
Let the earnings of A & B be Rs 2x & Rs x respectively
Spending of A & B be Rs 5y and Rs 3y respectively
Savings of A & B be Rs 4z and Rs z respectively
Total savings of A & B = Rs 5000 ----------(given)
Savings of A + Savings of B = 5000
4z + z = 5000
5z = 5000
z = (5000/5)
z = 1000
Therefore Savings of A = 4z = 4*1000 = Rs 4000
Savings of B = z = Rs 1000
Now ,
Earning - Spending = Savings ---(i)
For A => 2x - 5y = 4000 ---- (ii) [from (i)]
For B => x - 3y = 1000 -------(iii) [from (i)]
Solving equations (ii) and (iii)
Multiply equation (ii) by 3 and equation (iii) by 5 respectively
we get
6x - 15y = 12000 --- (iv)
5x - 15y = 5000 ----(v)
Subtracting equation (iv) and equation (v) we get
x = 7000
Therefore monthly income of B = x = Rs 7000