`44.A sum of Rs. 44 000 is divided into three parts such that the corr...
Solution:
Given,
Total amount = Rs. 44,000
Rate of interest for 2 years = 6%
Rate of interest for 3 years = 8%
Rate of interest for 6 years = 6%
Let the three parts be x, y, and z.
According to the question,
x(1+2*6/100) = y(1+3*8/100) = z(1+6*6/100)
x(1.12) = y(1.24) = z(1.36)
x:y:z = 1.12:1.24:1.36
Let the common ratio be k.
Then,
x = 1.12k
y = 1.24k
z = 1.36k
x + y + z = 44,000
1.12k + 1.24k + 1.36k = 44,000
3.72k = 44,000
k = 11,827.957
x = 1.12k = Rs. 12,000 (smallest part)
Hence, the smallest part of the sum will be Rs. 12,000.
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Solution:Given,
Total amount = Rs. 44,000
Rate of interest for 2 years = 6%
Rate of interest for 3 years = 8%
Rate of interest for 6 years = 6%
Let the three parts be x, y, and z.
According to the question,
x(1+2*6/100) = y(1+3*8/100) = z(1+6*6/100)
x(1.12) = y(1.24) = z(1.36)
x:y:z = 1.12:1.24:1.36
Let the common ratio be k.
Then,
x = 1.12k
y = 1.24k
z = 1.36k
x + y + z = 44,000
1.12k + 1.24k + 1.36k = 44,000
3.72k = 44,000
k = 11,827.957
x = 1.12k = Rs. 12,000 (smallest part)
Hence, the smallest part of the sum will be Rs. 12,000.