A sum of money is lent at 8 per annum compound interest. if the interest for the 2nd yr exceeds that for the first year by 32
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A sum of money is lent at 8% per anuum compound interest. If the interest for the second year exceeds that for the first year by Rs. 96, find the sum money.
December 26, 2019
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Sumita Franklin
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Let P=Rs x,R=8% then
Then interest for the first year=
100
x×8×1
=
100
8x
Then Principal foe the second year=x+
100
8
x=Rs
100
108
x
hence interest for the second year=
100
100
108
x×8×1
=Rs.
10000
864x
According to the question
⇒
10000
864x
=
100
8x
+96
⇒
10000
864x
−
100
8x
=96
⇒
10000
864x−800x
=96
⇒
10000
64x
=96
⇒64x=96×10000
⇒x=
64
96×10000
⇒x=15000
Hence the sum=Rs. 15000$$
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Answered by
2
Answer:
by this method your answer come
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For 1st year p=rupees x .Rate=8% Time =1year
interest =x*8*1/100
=0.08x
and amount =x+0.08x=1.08x
For 2nd year P=1.08x rupees Rate=8% Time= 1 year
Interest =1.08x*8*1/100
=0.0864x
Amount =1.08x+0.0864x
=1.8864 x
0.0864x-0.08x=96
x=15000
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