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**

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