In 8 years ₹ 40000 amounts to ₹ 50000. In what time will ₹21000 amount to ₹ 28000 at the same rate.
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Class 11
>>Applied Mathematics
>>Basics of financial mathematics
>>Accumulation with simple and compound interest
>>Rs.4,000 amount to Rs.5,000 in 8 years;
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Rs.4,000 amount to Rs.5,000 in 8 years; in what time will Rs.2,100 amount to Rs.2,800 at the same rate ?
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Correct option is A)
Simple Interest S.I.=
100
P×R×T
Given,
Amount A=Rs5000
P=Rs4000
I=A−P=5000−4000=Rs1000
T=8 years
So, 1000=
100
4000×R×8
⇒1000×100=32000×R
⇒R=3.125 %
Now, we need to find T when A=Rs2800;P=Rs.2100
⇒I=2800−2100
=Rs700
So, Rs700=
100
2100×3.125×T
⇒700×100=6562.5×T
⇒T=10years8months
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