Question

A man earns Rs 600 per month than his wife. One tenth of the man salary and one sixth of wife's salary amounts to rs 1500 , which is save every month. Find their incomes.​

Answer 1

✬ Man = Rs 6000 ✬

✬ Wife = Rs 5400 ✬

Step-by-step explanation:

Correct Question: A man earns Rs 600 per month more than his wife. One tenth of the man's salary and one sixth of wife's salary amounts to rs 1500 , which is saved every month. Find their incomes.

Given:

• A man earns Rs 600 more than his wife.
• One tenth of man's and one sixth of wife's salary amounts to Rs 1500.

To Find:

• What is income of each person?

Solution: Let the salary of wife be Rs x. Therefore,

➟ Salary of man = 600 more than x

➟ Man's salary = Rs (x + 600)

A/q

• One tenth of man's salary = 1/10(x + 600)
• One sixth of wife's salary = 1/6(x)

$\implies{\rm }$ 1/10(x + 600) + 1/6(x) = 1500

$\implies{\rm }$ x + 600/10 + x/6 = 1500

$\implies{\rm }$ 3(x + 600) + 5x/30 = 1500

$\implies{\rm }$ 3x + 1800 + 5x = 1500 × 30

$\implies{\rm }$ 8x + 1800 = 45000

$\implies{\rm }$ 8x = 45000 – 1800

$\implies{\rm }$ 8x = 43200

$\implies{\rm }$ x = 43200/8

$\implies{\rm }$ x = 5400

So income of

➬ Wife is x = Rs 5400

➬ Man is 5400 + 600 = Rs 6000

Answer 2

Answer:

Given:

A man earns Rs 600 more than his wife.

One tenth of man's and one sixth of wife's salary amounts to Rs 1500.

To Find:

What is income of each person?

Solution: Let the salary of wife be Rs x. Therefore,

➟ Salary of man = 600 more than x

➟ Man's salary = Rs (x + 600)

A/q

One tenth of man's salary = 1/10(x + 600)

One sixth of wife's salary = 1/6(x)

⟹ 1/10(x + 600) + 1/6(x) = 1500

⟹ x + 600/10 + x/6 = 1500

⟹ 3(x + 600) + 5x/30 = 1500

⟹ 3x + 1800 + 5x = 1500 × 30

⟹ 8x + 1800 = 45000

⟹ 8x = 45000 – 1800

⟹ 8x = 43200

⟹ x = 43200/8

⟹ x = 5400

So income of

➬ Wife is x = Rs 5400

➬ Man is 5400 + 600 = Rs 6000

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