Ambadas took a loan of rs 96000 at compound interest from a bank to drill a well in his field If the rate is6.25p.c.p.a. What amount will he have to pay to the bank if he returns the loan after 2 yearsHow much money would he have to saved had he been able to borrowed the same amount at simple interest for the same period at the same rate??
Answers
Answer:
simple interest = principal*rate*no of year
100
S.I = 96,0000*6.25*2
100
then we have to cut two zeroes from hundred and mulitiply 960*6.25*2
and the simple interest is 12,000Rs
and then we have to find amount
Amount = principal(1+R)N
100
A = 96,000(1+6.25 *100)2 first we have to multiply 6.25 from hundred to remove point and divide both hundred and then multipy answer is 16
100*100
A = 96000(16+1)2
16
A = 96,000 * 17 * 17 we have to divide 16 from 96,000 and the answer is 6,000 and we have to divide 6,000 from 16 and the answer is 375
16 16
and then we have to multiply 375 * 17 * 17
and the Amount is 108375 Rs
and then we have to find compound interest
Amount - Principal
108375 - 960000
and the compound interest is 12375 Rs
for Difference between compound interest and simple interest
compound interest - simple interest
12375 - 120000
= rs 375
First we have to write the given info
Given
P = 96000
R = 6.25
N = 2years
then we have to write
A with C.I = P (1+R/100)
A = 96000 (1+ 6.25/100)²
A = 96000 (106.25/100)²
A = 96000 × 106.25/100 × 106.25/100
A = 108375 rupees
Now they have also told us to find the simple interest.
S.I =
P = 96000 rupees
R = 6.25
N = 2 years
S.I = P×R×N /100
S.I = 96000×6.25×2/100
S.I = 12000
therefore the difference between simple interest and compound interest = compound - simple
12375 - 12000
= 375.
Ans: Therefore the compound Interest will be 108375 rupees and the simple interest will be 375 rupees after 2 years