- Two persons A and B whose salaries together amount of rs.100 A spends 775% and B 70% of their salaries. If their savings are 5:4, find their respective salaries?
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Answer:
Total salaries of A, B and C = Rs. 14400
Let the salaries of A, B and C be Rs. x, Rs. y and Rs. z respectively.
∴x+y+z=14400 ......... (1)
Their spendings are 80%, 85% and 75% respectively,
∴ Their savings are 20%, 15% and 25% respectively and also their savings are given in the ratio 8 : 9 : 20
100
15y
100
20x
=
9
8
and
100
25z
100
15y
=
20
9
⇒
15y
20x
=
9
8
⇒x=
9×20
8×15
y=
3
2
y ...(2)
and
25z
15y
=
20
9
⇒z=
9×25
15×20
y=
3
4
y..(3)
∴ From eq. (1), (2), and (3) , we have
3
2
y+y+
3
4
y=14400⇒
3
9y
=14400⇒y=Rs.
3
14400
=Rs.4800
∴x=
3
2
×Rs.4800=Rs.3200 and z=
3
4
×Rs.4800=Rs.6400
Step-by-step explanation:
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