year principal is 243: 452 . If the ratio of compound Interests for 3 and 2. cate and same principal than find the rate for for the same
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Answer:
Step-by-step explanation
Correct option is c)
Let principal be P, then
Compound interest, CI :
CI
P
=
127
216
⇒CI=
216
127
P
CI=P[1+
100
R
]
T
−P
⇒
216
127
P=P[1+
100
R
]
3
−P
⇒
216
127
=(1+
100
R
)
3
−1
⇒
216
127
+1=(1+
100
R
)
3
⇒
216
343
=(1+
100
R
)
3
⇒1+
100
R
=(
216
343
)
3
1
⇒1+
100
R
=
6
7
⇒
100
R
=
6
7
−1
⇒R=
6
1
×100
⇒
R=16.67%=0.1667
Hence, 16.67% (Option C) is correct.
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