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  • A person deposited a sum of Rs 10000 in a bank for a period of n1 years at a rate of 20% p.a compounded annually. The same person deposited a sum of Rs.11520 in other bank for a period o

A person deposited a sum of Rs 10000 in a bank for a period of n1 years at a rate of 20% p.a compounded annually. The same person deposited a sum of Rs.11520 in other bank for a period of n2 years at a rate of 25% p.a. simple interest. The amounts received from the two banks are equal and the total amount is Rs.34560 Find n1 and n2.

Option: 1

n1 = 3, n2 = 2


Option: 2

n1 = 2, n2 = 2


Option: 3

n1 = 1, n2 = 3


Option: 4

cannot be determined 

 


Answers (1)

best_answer

Rs. 1000 becomes 34560/2 = 17280 at 20 %
At C.I on n1 years 11520 becomes 17280 at 25 %  S.I in n2 years
17280 = 10000 (1+20/100)n1 
17280 = 10000 (6/5)n1
(1.2)n1 = (1.2)3 
n1 = 3 years
17280 – 11520 = 11520 x n2 x 25 / 100
= 5760 = 11520 x n2 x 25 / 100
n2 = 2
n = 3, n2 = 2

 

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avinash.dongre

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