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The monthly salaries of A and B together amount to ₹45,000. A spends 75% of his salary and B spends 80% of his salary. If now their savings are the same, then the salary of B (in ₹) is:

  1. A
    25,000
  2. B
    20,000
  3. C
    15,000
  4. D
    30,000

Solution & Step-by-step Explanation

Let the salary of A be ₹S
A

and the salary of B be ₹S
B

.
Given:

S
A

+S
B

=45000
A spends 75% of his salary, so A's savings are:

Savings of A=(100%−75%) of S
A

=25% of S
A


B spends 80% of his salary, so B's savings are:

Savings of B=(100%−80%) of S
B

=20% of S
B


Since their savings are the same:

25% of S
A

=20% of S
B


25⋅S
A

=20⋅S
B


S
B


S
A



=
25
20

=
5
4


Thus, the ratio of the salaries of A and B is 4:5.
The salary of B is given by:

S
B

=
4+5
5

×45000=
9
5

×45000=5×5000=₹25,000

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Try it yourself before checking the explanation above.

The monthly salaries of A and B together amount to ₹45,000. A spends 75% of his salary and B spends 80% of his salary. If now their savings are the same, then the salary of B (in ₹) is:
A
25,000
B
20,000
C
15,000
D
30,000

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