Question 99

A person invested his money in the three schemes P, Q and R. The am_ ount invested it scheme R was 150% of the amount invested in a scheme P and 240% of the amount invest; in scheme Q. The rate of interest he gets from schemes P, Q and R are respectively ioZ 12% and 15% per annum. If the total interest accumulated is Rs.3200 for an year, investment in scheme Q is (in Rs.)

Solution

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Let say he invested in scheme P,Q and R is p,q,r respectively.

So,$$r=1.5p  and  r=2.4q$$

so,$$1.5p=2.4q$$

or,$$p/q=24/15=8/5$$

Let say, $$p=8k  and  q=5k$$

So,$$r=12k.$$

So,

$$(8k×0.10+5k×0.12+12k×0.15)=3200$$

$$or,(0.8k+0.6k+1.8k)=3200.$$

or,$$3.2k=3200$$

or,$$k=1000.$$

So,amount invested in scheme Q was 

$$=5×1000=5000.$$

B is correct choice.

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