If the total simple interest on a sum of 1,400 for 4 years at rate of interest x% p.a. and on the same sum for two years
at the same rate, is 672, then the value of x is:
a) 6%
b) 10%
c) 9%
d) 8%
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Answer:
S.I=Rs.340,Time=2 years,R=4%
(i)Let the sum of money be rs.x
S.I=100PRT
⇒340=100x×4×2
⇒x=4×2340×100=Rs.4250
(ii)C.I for Rs. 4250 for one year payable half-yearly
∴ T=1 year=2 half year,Rate=24=2%
A=P(1+100R)T
⇒4250(1+1002)2
⇒4250(100102)2
⇒4250×5051×5051=4421.70
C.I=A−P
⇒4421.70−4250=Rs.171.70
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