a sum of money amounts to rs.1008 in 2 years and amounts to rs.1164 in 3 1/2 years @ simple interest. find principal and rate of interest
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Answered by
13
sample interest for 3/2 years = 1164-1008 = 156
sample interest for 2 years = 156*4/3 = 208
principal amount = 1008-208 = 800Rs.
208 = 800*r*2/100
208 = 16r
r = 13
rate of interest = 13% year
sample interest for 2 years = 156*4/3 = 208
principal amount = 1008-208 = 800Rs.
208 = 800*r*2/100
208 = 16r
r = 13
rate of interest = 13% year
sravanthi96:
whether this is correct??/
may i know how 4/3 comes in second step ??
Answered by
12
Total amount = Rs 1008 = P + P * r * 2 = P ( 1 + 2 * r) equation 1
Total amount = Rs 1164 = P + P * r * 3.5 = P ( 1 + 3.5 r ) equatio n 2
Subtract 1st equation from 2nd equation and cancel P,
P * 1.5 * r = Rs 156
P * r = 104
1st equation is : P + 2 P r = 1008 substitute value of P * r
P + 2 * 104 = 1008
P = Rs 800
r = 104 / 800 = 0.13 => rate of interest is 0.13 * 100 = 13 %
Total amount = Rs 1164 = P + P * r * 3.5 = P ( 1 + 3.5 r ) equatio n 2
Subtract 1st equation from 2nd equation and cancel P,
P * 1.5 * r = Rs 156
P * r = 104
1st equation is : P + 2 P r = 1008 substitute value of P * r
P + 2 * 104 = 1008
P = Rs 800
r = 104 / 800 = 0.13 => rate of interest is 0.13 * 100 = 13 %
whether s perfectly crct >???
perfect and easy to understand too.
thank you sooo much
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