Question

A earns twice as much as B does but spends two and a half times of what B does if both of them save rs.2000 each find A earning

Answer 1

Answer:

12000

Step-by-step explanation:

A:B=2:1----->income

A:B=5:2------>expenditure

3(2:1)-(5:2)=2000

1:1=2000

A=6*2000

A=12000

Answer 2

Answer:

A's earnings =Rs. 12,000

Step-by-step explanation:

Given,

A earns twice as much as B earns

A spends two and half times that B spends

Both A and B save Rs. 2000.

To find,

The earnings of A

Solution:

Let 'x' be B's earnings and 'y' be the amount B spends.

Since the earnings of A is twice that of B we have,

A's earning =  2x

Since A spends two and half times that of B,

The amount A spend = $2\frac{1}{2} y$

We have Earnings - spend = Savings

A's savings = 2x -  $2\frac{1}{2} y$

B's savings = x-y

Since both A and B save Rs. 2000, we have

2x - $2\frac{1}{2} y$ = 2000

2x - $\frac{5}{2}y$ = 2000

4x - 5y = 4000 -------------(2)

x-y = 2000

x = y+2000 --------------(1)

Substituting the value of 'x' in equation (2) we get

4(y+2000) -5y = 4000

4y +8000 - 5y = 4000

-y = 4000 - 8000

y = 4000

From equation (1),

x = y+2000 = 4000+2000 = 6000

A's earnings = 2x = 2 ×6000 = 12,000

∴ A's earnings =Rs. 12,000

#SPJ3