Pls. answer my two questions by step by step explanation.
1) The incomes of A and B are in the ratio 3 :2 and their expenditures in the ratio 5 :3. If each saves Rs. 1000 each, A's income iis?
2)The montjly salary of A, B, C is in the propotion 2:3:5. If C's monthlty salary is Rs.1200 more than that of A, then B's annual salary is?
Q2: The monthly salary of A, B, C is in the proportion 2:3:5. If C's monthly salary is Rs.1200 more than that of A, then B 's annual salary is?
SOL: As ratio of monthly salaries of A, B and C is given as 2:3:5,
∴A's monthly salary = 2x
B's monthly salary = 3x
C's monthly salary = 5x
where x is any constant.
According to the question,
5x - 2x = 1200
⇒3x = 1200
Therefore, B's monthly salary = 3x = Rs 1200
Thus, B's annual salary = 12 × 1200
= Rs 14400
Q1: The incomes of A and B are in the ratio 3 :2 and their expenditures in the ratio 5 :3. If each saves Rs. 1000 each, A 's income is?
SOL: Given that
A's income : B's income = 3 : 2
Let A's income = 3x
and B's income = 2x
A's expenditure : B's expenditure = 5 : 3
Let A's expenditure = 5y
and B's expenditure = 3y
Savings of A = Savings of B = Rs 1000
⇒3x - 5y = 2x - 3y = 1000
⇒x = 2y
3x - 5y = 1000
⇒3(2y)-5y = 1000
⇒y = 1000
∴x = 2y = 2(1000) = 2000
∴A's income = 3x = 3(2000) = Rs 6000