Question

Annual expenses of A and B are in the ratio of 5:3 the savings of A and B are in the ratio 1:2 find the expenses of A,given that the income of A is Rs.8000 and that of B is Rs.9000​

Answer 1

Answer:

Let A, B & C be the incomes of A, B & C respectively & a, b & c be their expenses respectively.

Given,

A:B = 5:3

i.e. A/B = 5/3

i.e. A = 5B/3 — (i)

Given also,

a:b:c = 8:5:2

i.e. a/b = 8/5 and b/c = 5/2

i.e. a = 8b/5 — (ii) and b = 5c/2 — (iii)

Given also,

c = 2000 — (iv)

Substituting equation (iv) in (iii), we get,

b = 5 * 2000 / 2

i.e. b = 5000 — (v)

Substituting equation (v) in (ii), we get,

a = 8 * 5000 / 5

i.e. a = 8000 — (iv)

Given also,

B - b = 700 — (vii)

Substituting equation (v) in (vii), we get,

B - 5000 = 700

i.e. B = 5700 — (viii)

Substituting equation (viii) in (i), we get,

A = 5 * 5700 / 3

i.e. A = 5 * 1900

i.e. A = 9500 — (ix)

A’s savings can be written as,

A - a

= 9500 - 8000

= 1500

Hence, A’s savings is Rs. 1,500/-.

Step-by-step explanation:

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Answer 2

Answer:

Given,

A and B's expenses are in the ratio 5:3

Also, A and B's savings are in the ratio 1:2

And, income of A is Rs. 8000 and income of B is Rs. 9000

Step-by-step explanation:

let expenses of A and B be taken as 5x and 3x

let saving of A and B be taken as 1x and 2x

We know,

expenses+ savings= income

Now, income of A :

5x +1x = 8000

6x = 8000

x= 8000/6

x= 1,333.33

thus, expenses of A = 5x

= 5*1333.33

= Rs. 6,666.65

= Rs. 6,667. ( round off)