a man invests a certain sum of money at 6 p simple..., Simple Interest, General Mathematics

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

A `Rs. 2600` 
B `Rs. 2700` 
C `Rs. 2880` 
D `Rs. 2900`

/61

+ AnswerB

+ ExplanationLet the sums be x. and y.

`(x xx 6 xx 2)/100 + (y xx 7 xx 2)/100 = 354`

`or 6x + 7y = 17700`

 Also,` x/4 = y/5`

`or 5x - 4y = 0`

Solving thes equation we get : x

`= x = 1200 and y = 1500`

:. Total sum `= Rs. 2700`

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