The ratio of salary of A and B is 5 : 7 and that of B and C is 3 : 5. The salary of
A is Rs. 165000 and C spends 28.56% of his salary on rent. How much money
is left with C after expenditure on rent?
Answers
The ratio of salary of A : B is 5 : 7
The ratio of salary of B : C is 3 : 5
The value of B's salary is different in both the ratios
Let's find the LCM of both the values
LCM of 7 and 3 is 21
To make value of B's salary, equal in both the ratios, multiply with 3 and 7 respectively.
A's salary : B's salary
5 : 7
5 × 3 : 7 × 3
15 : 21
B's salary : C's salary
3 : 5
3 × 7 : 5 × 7
21 : 35
Now, the value of B's salary is equal in both the ratios.
∴ The ratio of A, B and C's salary :
A : B : C
15 : 21 : 35
= 15x : 21x : 35x
A's salary is ₹ 165000
15x = 165000
x = 165000/15
x = ₹ 11000
B's salary = 21x
= 21 × 11000
= ₹ 231000
C's salary = 35x
= 35 × 11000
= ₹ 385000
C spends 28.56% of his salary on rent
₹ 385000 × 28.56%
= 385000 × (28.56/100)
= ₹ 109956
Money left with C after the expenditure on rent
= ₹ 385000 - ₹ 109956
= ₹ 275044