Question

The incomes of A and B are in the ratio 3:2 and their expenditures in the ratio 5:3. If
each saves 1500, then B's income is?​

Answer 1

$\bold{\Huge{\underline{\underline{\mathfrak{\red{Solution:-}}}}}}$

let the income be 3x and 2x and their corresponding expenditure be 5y and 3y.

$\bold{\mathrm{\orange{According\:to\:the\:given\:conditions,}}}$

3x - 5y = 1500

$\huge{\mathrm{\green{And}}}$

2x - 3y = 1500

$\bold{\mathrm{\pink{On\:solving\:we\:get:-}}}$

x = 3000 and y = 1500

Hence, B's income = 2x

= ₹6000

Answer 2

Answer:

⇒ Let income of A and B be 3x and 2x respectively. Also, their expenditure is 5y and 3y.

⇒ Now, according to question,

⇒ 3x−5y=1000 ---- ( 1 )

⇒ 2x−3y=1000 ----- ( 2 )

⇒ Now, multiplying equation ( 1 ) by 3 and ( 2) by 5.

⇒ 9x−15y=3000 ---- ( 3 )

⇒ 10x−15y=5000 ----- ( 4 )

⇒ x=2000 [Subtraction equation ( 3 ) from equation ( 4 ) ]

⇒ Then, income of A = 3x=Rs.(3×2000)=Rs,.6000.

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