reena borrowed from kamal certain sum for two years at simple interest .Reena lent this sum to hamid at the same rate for two years compound interest. At the end of two years she received Rs 110 as compound interest and Rs 100 as simple interest. Find the sum and rate of interest.
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Simple interest for two years= Rs. 100
∴Interest per year=Rs.50
By compound interest
Interest for I year=Rs.50
Interest for II year=Rs.(110−50)=Rs.60
=50+20% of 50=Rs.60
∴Rate of interest=20%
Let sum borrowed by Reena be P
⇒S.I=
100
PTR
⇒100=
100
P×2×20
⇒P=
2×20
100×100
⇒P=250
∴Sum borrowed=Rs.250
Rate of interest=20%
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- Reena borrowed from Kamila certain sum for two years at simple interest Reena lent this to Hamid at the same rate for two years compound interest. At the end of two years she received Rs 110 as compound interest but paid Rs 100 as simple interest
- Sum and rate of interest.
As we know that
So,
Also,
Now we get R as 20%
So,
PR = 5000
P = 5000/20
Sum = Rs. 250
Answer
Sum = Rs. 250
Rate% = 20%
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