Question

The ratio of income of two persons in 9:7 The ratio of their expenses is 4:3 Every person saves rupees 200 find the income of each

Answer 1

ANSWER :

The income of 1st person is Rs 1800 and the income of 2nd person is Rs 1400 .

EXPLANATION :

GIVEN :-

• The ratio of income of two persons is 9:7.
• The ratio of their expenses is 4:3.
• Every person saves Rs 200.

TO FIND :-

• Income of each person.

SOLUTION :-

Let the income of 1st person be Rs 9x and the income of 2nd person be Rs 7x.

Let the expenditure of 1st person be Rs 4y and the expenditure of the 2nd person be Rs 3y.

Each person saves Rs 200.

★$\sf{According\:to\:the\: question,}$

$\sf{9x-4y=200..............(i)}$

$\sf{7x-3y=200..............(ii)}$

✪ Multiply 3 with eq.(i) and 4 with eq.(ii)✪

$\sf{27x-12y=600..............(i)}$

$\sf{28x-12y=800..............(ii)}$

BY ELIMINATION,

27x - 12y = 600

28x - 12y = 800

(-) (+) (-)

__________________

- x = - 200

→ x = 200

✞ Putting x = 200 ✞

Income of 1st person=9×200=Rs 1800.

Income of 2nd person =7×200=Rs 1400.

Therefore, the income of 1st person is Rs 1800 and the income of 2nd person is Rs 1400 .

_____________________________

Answer 2

$\huge \mathfrak{Answer:-}$

$\implies$ 1st person = 9 × 200 = Rs 1800.

$\implies$ 2nd person = 7 × 200 = Rs 1400.

$\large\underline\mathrm{Given:-}$

• The ratio of income of two persons in 9:7
• The ratio of their expenses is 4:3
• Every person saves Rs 200 each.

$\large\underline\mathrm{To \: find}$

• Income of each person.

$\large\underline\mathrm{Given:-}$

• Let the income of 1st person be Rs 9x and the income of 2nd person be Rs 7x.
• Let the expertise of 1st person be Rs 4y and the expenditure of the 2nd person be Rs 3y.
• Each person saves Rs 200

$\implies$ 9x + 4x = 200___(1)

$\implies$ 7x - 3y = 200___(2)

$\large\underline\mathrm{Multiple \: 3 \: with \: eq \: (1) \: and \: 4 \: with \: eq \: (2).}$

27x - 12y = 600

28x - 12y = 800

__________________

x = -200

$\implies$ x = 200

$\large\underline\mathrm{putting \: the \: value \: of \: x \: in \: 1st \: person \: and \: 2nd \: person.}$

$\implies$ 1st person = 9 × 200 = Rs 1800.

$\implies$ 2nd person = 7 × 200 = Rs 1400.

$\large\underline\mathrm{hence,}$

$\large\underline\mathrm{the \: income \: of \: 1st \: person \: is \: Rs. \: 1800 \: and \: the \: income \: of \: 2nd \: person \: is \: Rs. \: 1400.</p><p>}$

$\large\underline\mathrm{Hope \: it \: helps \: you \: plz \: mark \: me \: brainlist}$