4. At what rate percent compounded yearly will Rs. 48400 amount to Rs. 52900 in 2 years?
a. 29
b.3 (1/2)%
c. 7 (1/4)%
d. 4 (6/11)%
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Given:
Principal (p) = Rs 48400
Amount (A) = Rs. 52900
Time (t) = 2 years
To Find:
Rate percent
Solution:
As we know that
Amount (A) = Principal*(1+r/100)^t
Where
r is the rate of interest and t is the time
According to question
Amount (A) = Principal*(1+r/100)^t
=>52900 = 48400*(1+r/100)^2
=>52900/48400 = (1+r/100)^2
=>(23/22)^2= (1+r/100)^2
=>(23/22)-1 = r/100
=>(23-22)/22 = r/100
=>1/22 = r/100
=>1/22 = r% ( As x% = x/100)
=>r% = 4(6/11) %
Hence, Rate percent is 4(6/11) % (option (d))
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