At a certain rate of simple interest, rs 1600 becomes 2200 in 9/2 years. What sum of money
will become 5025 in 4 years and 9 months at the same rate of interest?
Answers
Answer:
Rs. 3600 will become Rs. 5025 in 4 years and 9 months at the same rate of interest.
Step-by-step explanation:
Given, principal = P = Rs. 1600
Amount = A = Rs. 2200
Simple interest = S.I = Rs.(2200 - 1600) = Rs. 600
Time = T = 4 \frac{1}{2} = \frac{9}{2}4
2
1
=
2
9
years
Rate = R
Now, Simple interest = S.I = \frac{PRT}{100}
100
PRT
=> 600 = \frac{1600\times R\times \frac{9}{2}}{100}
100
1600×R×
2
9
=> 600 = 72 R
=> R = \frac{600}{72}
72
600
= \frac{25}{3}%
3
25
%
Again, Amount = A = Rs. 5025
Principal = P
Time = T = 4 years 9 months = 4\frac{9}{12} = 4\frac{3}{4} = \frac{19}{4}4
12
9
=4
4
3
=
4
19
years
A = P + S.I
=> 5025 = P + \frac{PRT}{100}
100
PRT
=> 5025 = P + \frac{P\times \frac{25}{3}\times \frac{19}{4}}{100}
100
P×
3
25
×
4
19
=> 5025 = P + \frac{19P}{48}
48
19P
=> 5025 = \frac{67P}{48}
48
67P
=> P = \frac{5025\times 48}{67}
67
5025×48
= Rs. 3600
Hence, Rs. 3600 will become Rs. 5025 in 4 years and 9 months at the same rate of interest.