Posted by: Yogasri on 12.11.2022
Ask a QuestionAns. The Sum of money is Rs. 5650
Explanation: Here, we see, interest in (6-4) = 2 years = Rs. (8362 - 7458) = Rs. 904.
So, interest in 4 years = Rs. 904 x 2 = Rs. 1808.
Hence, the sum of money = Amount in 4 years - Interest in 4 years = Rs. (7458 - 1808) = Rs. 5650.
Answer:
Let the principal = Rs 100 and rate of interest per year = Rs x
Then principal plus 4 year interest = 100+ 4x = Rs 7458
Similarly principal plus 6 year interest = 100+6x = Rs 8362
Therefore interest for 2 years = 2x =Rs 8362 - Rs 7458= Rs 904
Hence interest per year = x = 904/2 = Rs 452
For Rs x interest per year , principal = Rs 100
For Rs 452 interest per year , principal = P = (452/x) *100 =45200/x
Sum on principal of Rs (45200/x) for 4 years = (45200/x) + (45200/x) *4x/100 = Rs 7458
That is (45200/x ) +1808 = 7458 or ( 45200/x) = P= 7458-1808 = 5650
Hence principal = Rs 5650
x=sum; y=rate of interest
as per problem,
x(1+4y)=7458........(1)
x(1+6y)=8362.......(2)
3*(1)-2*(2) gives
x=5650
x= sum=5650.Ans.
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