Math, asked by arsadali8873, 9 months ago

the income of A and B are in ratio a 7:5 their expense are in ratio of 9:8 an increase of Ace expenditure by hundred rupees and decrease of 20 expenditure by 200 rupees make their savings 400 each .find their income.urgently required ​

Answers

Answered by Anonymous
4

\blue{\bold{\underline{\underline{Answer:}}}}

 \:\:

 \green{\underline \bold{Given :}}

  • Income ratio of A & B is 7:5
  • Expense ratio of A & B is 9:8

 \:\:

 \red{\underline \bold{To \: Find:}}

 \:\:

  • Income of both

 \:\:

\large{\orange{\underline{\tt{Solution :-}}}}

 \:\:

Since the ratio of A and B are in the ratio of 7: 5, so we can assume:

  • Their income are 7x and 5x
  • Their expenditure as 9y and 8y.

According to the given condition,

7x - 9y = 500--(1) [A's expenditure increased by 100}

 \:\:

5x - 8y = 200--(2) [B's expenditure decrease by 200]

 \:\:

On solving (1) & (2) , we get

 \:\:

⇛56x - 72y = 4000

 \:\:

⇛ 45x - 72y = 1800

 \:\:

⇛ 11x = 2200

 \:\:

⇛ x = 200

 \:\:

Therefore:

⇛ Income of A = 1400

⇛ Income of B = 1000

Answered by nidhirandhawa7
0

Answer:

A1400 B1000

Step-by-step explanation:

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