The salaries of a and b together amount to rs.2000.a spends 95% of his salary and b, 85% of his salary.if now,their savings are the same what is a's salary
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Answered by
40
let a's Salary be x
let's salary be y
so x+y=Rs. 2000
implies, x=2000-y ........ equation 1
out of rs. 100, a saves=100-95=rs5
out of rs. x, a saves= x*(5/100)
similarly, b saves= y*(15/100)
5x/100=15y/100
implies x=3y........ eqn 2
replacing x from eqn to eqn 2
2000-y=3y
4y=2000
y=500
x=1500
a's salary=rs 1500
let's salary be y
so x+y=Rs. 2000
implies, x=2000-y ........ equation 1
out of rs. 100, a saves=100-95=rs5
out of rs. x, a saves= x*(5/100)
similarly, b saves= y*(15/100)
5x/100=15y/100
implies x=3y........ eqn 2
replacing x from eqn to eqn 2
2000-y=3y
4y=2000
y=500
x=1500
a's salary=rs 1500
Answered by
7
Answer:
Step-by-step explanation:
Let the, salary of A=x
salary of B=(2000-x)
According to question-
A spends 95% of x
B spends 85% of (2000-x)
Their savings are-
A = x - (95% Of x)
B = (2000-x) - (85% of (2000-x))
Now, as their savings are same so we can write
x - (95% Of x) = (2000-x) - (85% of (2000-x))........(i)
Solving eq. I
x (1 - 95/100) = (2000-x) (1 - 85/100)
5x = (2000-x)15
20x= 30000
x = 1500
Hence, the salary of A is ₹1500.
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