divide rs 1500 into two parts so that 10% of the larger part exceeds 8% of the smaller part by rs 60. Find the larger and smaller parts
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Answers
Answered by
10
Let bigger be ₹x
Smaller be ₹y
According to the question,
x+y=1500. -(i)
(x/10)-(2y/25)=60. -(ii)
=>(5x-4y)/50=60
=>5x-4y = 3000. -(iii)
Multiply equation (i) with 4
4x+4y=6000. -(iv)
Add equation (iii) and (iv)
9x=9000
=>x=₹1000
y=1500-x=1500-1000=₹500
Therefore, the larger part is ₹1000
And smaller part is ₹500
Smaller be ₹y
According to the question,
x+y=1500. -(i)
(x/10)-(2y/25)=60. -(ii)
=>(5x-4y)/50=60
=>5x-4y = 3000. -(iii)
Multiply equation (i) with 4
4x+4y=6000. -(iv)
Add equation (iii) and (iv)
9x=9000
=>x=₹1000
y=1500-x=1500-1000=₹500
Therefore, the larger part is ₹1000
And smaller part is ₹500
Answered by
7
Answer:
Large part x = 1000
Smaller part (1500-x) = 500
Step-by-step explanation:
Let large part be x
Then smaller part = 1500-x
As per given condition
x(10/100) = (1500-x)8/100 + 60
x(18/100) = 15*8 + 60
x (6/100) = 5*8 + 20
x (3/50) = 40 + 20
x = (60/3)*50
x = 1000
Large part x = 1000
Smaller part (1500-x) = 500
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