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A sum of Rs.15500 is lent out into two parts, one at 8% and another one at 6%. If the total annual income is Rs1969, the money lent at 8% is

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answer is A.

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Detailed Solution

For money lent at 8% rate of interest:
Rate of interest=R-8
Principal value = x
Formula for simple interest is given by

Where P is principal amount, R is rate of interest T is time period.

……………………..equation (1)
For money lent at 6% rate of interest:
Rate of interest=R-6
Principal value = Rs(15500−x)
Formula for simple interest is given by

Putting values in formula, we have

…………………………..equation (2)
We are given total interest at end of 1 year, hence, total annual income will be given b

Adding equation (1) and equation (2), we get

Taking L.C.M on left side,

Cross multiplying, we get,

As supposed earlier, money lent at a rate of interest 8% was x. Hence, money lent at rate of interest 8% was Rs 6500.
So, option 1 is correct.

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