a sum of 1500 was lent partly at 5% and partly at 8% simple interest.The total interest received after 3 years is ₹ 300. What is the ratio of the money lent at 5% to that lent at 8%?
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Answer:
t
1
=3,r
1
=5,P
1
=?,SI
1
t
2
=3,r
2
=8,P
2
=?,SI
2
P
1
+P
2
=1,550
SI
1
+SI
2
=300
or
100
P
1
t
1
r
1
+
100
P
2
t
2
r
2
=300
or
100
P
1
×3×5
+
100
P
2
×8×3
=300
or
100
3
(5P
1
+8P
2
)=100
or5P
1
+8P
2
=10,000
or (P
1
+P
2
=1,500)×5
or 5P
1
+8P
2
=10,000
or 5P
1
+5P
2
=7,750
or 3P
2
=2,250
∴P
2
=750 and P
1
=800
Hence, P
1
:P
2
=800:750=16:15
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