Question

The monthly income of A and B are in the ratio 8:7 and their expenditure are in the ratio 19:16. If each saves rs 5000 per month, find their monthly income of each.

Answer 1

Answer:

Step-by-step explanation:

Let monthly income of A and B be 8x and 7x

Let monthly expenditure of A and B be 19y and 16y respectively.

Savings of A = 8x - 19y = 5000

Savings of B = 7x - 16y = 5000

Solving for x and y

x = 3000

y = 1000

Thus,

Monthly income of A = 8x = 8 x 3000 = ₹ 24000

Monthly income of B = 7x = 7 x 3000 = ₹ 21000

Answer 2

Answer: So, Monthly income of A will be Rs. 24000

Monthly income of B will be Rs. 21000

Step-by-step explanation:

Since we have given that

Ratio of their monthly income = 8:7 = a : b

Ratio of their expenditure = 19:16 = c : d

Amount of saving by each = Rs. 5000 per month = e

Since we know that

                   5000 → Savings

Income                         Expenditure

8 : 7                                    19 : 16

$x=\mid \dfrac{e(c-d)}{ad-bc}\mid\\\\x=\mid \dfrac{5000\times (19-16)}{8\time 16-7\times 19}\mid \\\\x=\mid \dfrac{5000\times 3}{128-133}\mid \\\\x=\mid \dfrac{5000\times 3}{-5}\mid\\\\x=1000\times 3\\\\x=Rs.3000$

So, Monthly income of A will be 8x = 8×3000= Rs. 24000

Monthly income of B will be 7x = 7×3000=Rs. 21000