Simple Interest - Quantitative Aptitude (MCQ) questions for Q. 28364

Q.  How much should be the annual installment to completely pay off a debt of Rs. 1078 in 6 years at 9% per annum rate of interest?
- Published on 10 Mar 17

a. Rs.146.35
b. Rs.156.25
c. Rs.126.55
d. Rs.118.35

ANSWER: Rs.146.35
 
First take Installment amount = P = Rs. 100

Total installments = 6 (One installment per year)

Simple and Easy rule -
If there are ‘n’ installments, then, 1st installment will have interest for (n-1) years, 2nd will have interest for (n-2) years and so on.

So in this case, n=6
1st installment will have interest for 5 years (n-1 = 6-1=5 years)
2nd installment will have interest for 4 years (n-2 = 6-2=4 years)
3rd installment will have interest for 3 years (n-3 = 6-3= 3 years)
4th installment will have interest for 2 years (n-4 = 6-4= 2 years)
5th installment will have interest for 1 year (n-5 = 6-5= 1 year)
6th installment will have no interest (n-6 = 6-6= 0 years)

Total Amount = 6 Installments + Interest on those 6 Installments
simple interest
Now here, rate of interest is same for all installments = R = 9%

P = Rs. 100 (same amount Rs. 100 for all installments)

From above rule we can calculate effective time period ‘T’

T (for interest calculation) = 5 years + 4 years + years + 2 years + 1 year + 0 years

simple interest

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