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:
- A25,000
- B20,000
- C15,000
- D30,000
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
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