The simple interest in 3 years and the compound interest in 2 years on a certain sum at the same rate are Rs. 1200 and Rs. 832 respectively. Find the rate of interest and sum.
Answers
Answer:
Compound interest for 2 years=Rs.832
Simple interest for 3 years=Rs.1200
As simple interest for each year remains the same.
So, simple interest for 2 years=1200×
3
2
=Rs.800
We know that,
CI
2 year
−SI
2 year
=
200
SI
2 year
×R
=
(100)
2
PR
2
832−800=
200
800×R
32=4×R
R=8%
Again, CI
2 year
−SI
2 year
=
(100)
2
PR
2
32=
100
2
P×(8)
2
32=
10000
P×64
P=
64
32
×10000=5000
Hence, the principal is Rs.5000.
Step-by-step explanation:
Answer:
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Step-by-step explanation:
Compound interest for 2 years=Rs.832
Simple interest for 3 years=Rs.1200
As simple interest for each year remains the same.
So, simple interest for 2 years=1200× 32
=Rs.800
We know that,
CI 2 year −SI 2 year
= 200SI 2 year ×R
= (100) 2PR 2832−800= 200800×R
32=4×R
R=8%
Again, CI 2 year −SI 2 year
= (100) 2PR 2
32= 100 2
P×(8) 2
32 = 10000P×64
P = 6432 ×10000=5000
Hence, the principal is Rs.5000.
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