Question

The total income of a, b and c is rs 6060. A spends 80%, b spends 85% and c spends 75% and the ratio of their savings is 5 : 6 : 9. Find the income of a

Answer 1

A's income is equal to Rs. 1500

Step-by-step explanation:

Given:

The total income of A, B, & C is Rs. 6060

A spends 80% of his salary, B spends 85% of his salary, C spends 75% of his salary

the ratio of their savings is 5:6:9

To find:

income of A

Solution:

First, let's try to find the ratios of their incomes

We assume that the savings are 5y, 6y, & 9y respectively

Now, we assume A's salary is 100%

He spends 80% of his salary

∴ His savings = 100% -80%

∴ A's savings = 20%............(1)

But his savings also equal to 5y..........(2)

∴ 20% = 5y......(from 1 & 2)

∴ 100 % = 500y/20

∴ 100 % = 25y

Now, if B's salary is 100% and he spends 85%

B's savings = 100-85

∴ B's savings = 15%

But, it is also given as 6y

∴ 15% = 6y

Now, 100 % = 40y

Similarly, C has 100 % of his salary and spends 75% of it

C's savings = 100 -75

∴ C's savings = 25%

But that is given as 9y

∴ 25% = 9y

So 100% = 36y

According to the question here,

The total income is 6060

∴ 25y + 40y + 36y = 6060

∴ 101y = 6060

∴ y = 6060/101

∴ y = 60

Now, A's salary = 25y

∴ A's salary = 25 (60)

∴ A's salary = Rs.1500

Thus, the income of A is Rs.1500

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Answer 2

Answer:

The salary of 'a' is Rs. 1500

Step-by-step explanation:

Assumption,

Let the salaries of 'a', 'b', and 'c' be A, B, and C.

Given,

The total income of a, b, and c is (T = A + B + C) 6060.

'a', 'b', and 'c' spends 80%, 85%, and 75% respectively.

The savings of 'a', 'b', and 'c' are 5x, 6x, and 9x respectively. (where x = some integer)

To find,

The income of 'a'

calculation,

As 'a' spends 80% of his salary, then:

A = 80% of A + savings of A

⇒ A = 0.8A + 5x

⇒ A = 25x

Similarly,

As 'b' spends 85% of his salary, then:

B = 85% of B + savings of B

⇒ B = 0.85B + 6x

⇒ B = 40x

Similarly,

As 'b' spends 75% of his salary, then:

C = 75% of C + savings of C

⇒ C = 0.75C + 9x

⇒ C = 36x

Now as, T = A + B + C = 6060

⇒ 6060 = 25x + 40x + 36x

⇒ 101x = 6060

⇒ x = 60

Therefore, the salary of 'a' is A = 25 × 60 = Rs. 1500

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