Question

The ratio of incomes of two persons is 5:3 and that of their expenditures is 9:5. if they save rs 2600 and rs 1800 respectively their incomes are? with solution

Answer 1

Let incomes of A and B are



=> 25x - 13000 = 27x - 16200

2x = 16200 - 13000

2x = 3200

x = 1600

∴ Income of A=5x=5×1600=Rs.8000∴ Income of A=5x=5×1600=Rs.8000

B=3x=3×1600=Rs.4800B=3x=3×1600=Rs.4800

Answer 2

$\textbf {Hey there, here is the solution.}$

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Let the two persons be A and B.

.

Income = A : B = 5 : 3 (Given)

Expenditure = A : B = 9 : 5 (Given)

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STEP 1: Form the equation:

Let x be the constant ratio for income.

Let y be the constant ratio for expenditure.

5x - 2600 = 9y

3x - 1800 = 5y

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STEP 2: Solve x and y:

5x - 2600 = 9y --------------- [ 1 ]

3x - 1800 = 5y --------------- [ 2 ]

.

[ 1 ] x 3 : 15x - 7800 = 27y --------------- [ 3 ]

[ 2] x 5: 15x - 9000 = 25y --------------- [ 4 ]

.

[ 3 ] - [ 4 ]:

2y = 1200

y = 600 --------------- Substitute into [ 1 ]

.

5x - 2600 = 9 (600)

5x - 2600 = 5400

5x = 8000

x = 1600

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STEP 3: Find their income:

A = 5x = 5(1600) = Rs 8000

B = 3x = 3(1600) = Rs 4800

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Answer: Their incomes are Rs 8000 and Rs 4800

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$\textbf {Cheers}$