a sum of money amounts to Rs. 17680 when invested for 3years at a certain rate of interest per annum and amounts to Rs.17600 when invested for 2years. at the rate pf 5% per annum simple interest. find the rate of interest in the first investment and the sum invested in both the cases.
Answers
Answered by
1
Correct option is
A
Rs. 2500 and 6%
A sum of money at simple interest amounts Rs. 2,800 in 2 years and Rs.3.250 in 5 years
∴ Interst paid in 3 years =3250−2800=450 Rupees
Annual Interest =450÷3=150 Rupees
Sum lent at the begining =2800−150×2=2500 Rupees
Rate of simple Interest =(150/2500)×100=6 percent
solution
Answered by
1
Step-by-step explanation:
Let, Principle be Rs.P and Rate of interest be R% p.a.
Amount (A)=P(1+
100
TR
)
Given that,
6300=P(1+
100
2R
)....(i)
7875=P(1+
400
15R
)....(ii)
∵T=3
12
9
=
4
15
years
(i)
(ii)
⟹
(1+
100
2R
)
(1+
400
15R
)
=
6300
7875
⟹
400+8R
400+15R
=
6300÷1575
7875÷1575
=
4
5
⟹4(400+15R)=5(400+8R)
⟹1600+60R=2000+40R
⟹60R−40R=2000−1600
⟹20R=400
∴R=20 %(Ans)
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