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Question

A man invests a certain sum of money at 6% per annum simple interest and another sum at 7% per annum simple interest. His income from interest after 2 years was Rs. 354. One-forth of the first sum is equal to one-fifth of the second sum. The total sum invested was:

Options:
A .  2600
B .  2700
C .  2800
D .  2900
E .  None of these
Answer: Option B
 -  

 

Let the sums be X and Y.

 

X x 6 x 2

+

y x 7 x 2

 = 354 or 6X + 7y = 17700.

...(i)

 

 

100

100

 

 

Also,

x

=

y

 or 5X - 4y = 0

...(ii)

 

4

5

 

 

Solving (i) and (ii), we get : x = 1200 and y = 1500.

 

 Total sum = Rs. 2700.

 

 


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