ash invested in PPF NSC and KVP PPF and NSC are offering simple interest at the rate of 8 pa and 12 ...........

Quantitative Aptitude ( CCS) Arithmatic inequalities

ash invested in PPF, NSC and KVP. PPF and NSC are offering simple interest at the rate of 8% pa and 12% pa resp. while KVP is offering interest at rate of 10% compounded annually. The amount invested in PPF and NSC is in the ratio of 4:5 resp. and amount invested in KVP is Rs.9000. After two years she earned a total amount of Rs.4834 as interest.

Quantity I: Find the amount invested by Yash in NSC.

Quantity II: Find the average amount invested by Yash in PPF and KVP taken together.

I = II

I =< II

I < II

I > II

I >=II

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Explanation:

Let the amount invested in PPF and NSC be Rs.4x and Rs.5x resp.
4x*8% *2 + 5x*12%*2 + 9000*[(1.1)^2 – 1] = 4834
=>x = Rs.1600
Amount invested in PPF = 4*1600 = Rs.6400
Amount invested in NSC = 5*1600 = Rs.8000
From I: Rs.8000
From II: (6400+9000)/2 = Rs.7700
I > II

Hence, option 4 is the correct answer.