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Aptitude · Q52

Compound Interest

Competitive Exams · Aptitude · question 52

Q52

Kamal took Rs. 6800 as a loan which along with interest is to be repaid in two equal annual installment. If the rate of interest is 121/2 % compounded annually, then the value of each installment is = ?

Kamal took Rs. 6800 as a loan which along with interest is to be repaid in two equal annual installment. If the rate of interest is % compounded annually, then the value of each installment is = ?
A.
Rs. 8100
B.
Rs. 4150
C.
Rs. 4050
Answer
D.
Rs. 4000

Answer: Option C

Solution

Answer: Option C
Solution:
    Year         Principal         Installment      
⇒ I 8×9 9×9 ......(i)
⇒ II 64 → 81 ......(ii)
Since, installment is equal hence multiply equation (i) by 9
⇒ Total principal = 72 + 64 = 136 units
136 units → 6800
1 units → 50
81 units → 4050
⇒ Each installment = Rs. 4050