divide 3000 in two parts such that 5 % of first part is equal to 10% of the second.
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suppose x and y are two divided
parts of 4500. then
x+y=4500 __ (1)
given
5% of x = 10% of y
1005x=10010y
x=2y
2y+y=4500
3y=4500
y=1500
x+1500=4500
x=4500−1500
x=3000
hence the 4500 is been divided into
two parts of 1500 and 3000.
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Step-by-step explanation:
Let the part given at 5% be P and the part given at 6% be p
So P + p = 2500 —————————(i)
Simple interest = ( principle x rate x time) /100
So
(P x 5 x 1)/100 +(p x 6 x 1)/100 = 140
5P + 6p = 14000 —————————(ii)
On solving equation (i) and (ii) we get
P= Rs 1000 &
p= Rs 1500
Therefore Rs 1000 was lent at 5 % and
Rs 1500 was lent at 6%
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