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Question
A certain sum amounts to Rs.3825 in 4 years and to Rs.4050 in 6 years. Find the rate percent and the sum.
Solution
In 6 years sum amounts to = Rs.4050
In 4 years sum amounts to = Rs.3825
∴ Interest of 2 years = Rs.4050 − Rs.3825 = Rs.225
The interest of 4 years = Rs.`225/2xx4`
= Rs.450 ...(∵ Rs.225 is interest for 2 years)
Now P = A − I
= Rs.3825 − Rs.450
= Rs.3375
I = Rs.450
T = 4 years
R =`(100xx"I")/("P"xx"T")`
`=(100xx450)/(3375xx4)`
`= 45000/13500%=450/135%`
`=10/3%=3 1/3%`
∴ R =`3 1/3%`
P = Rs.3375
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