Question 45

Aniket and Animesh are two colleagues working in PQ Communications, and each of them earned an investible surplus of Rs. 1, 50, 000/- during a certain period. While Animesh is a risk-averse person, Aniket prefers to go for higher return opportunities. Animesh uses his entire savings in Public Provident Fund (PPF) and National Saving Certificates (NSC). It is observed that one-third of the savings made by Animesh in PPF is equal to one-half of his savings in NSC. On the other hand, Aniket distributes his investible funds in share market, NSC and PPF. It is observed that his investments in share market exceeds his savings in NSC and PPF by Rs. 20,000/- and Rs. 40,000/- respectively. The difference between the amount invested in NSC by Animesh and Aniket is:

Solution

Let 'x' be the amount invested by Aniket in share market. Therefore, amount invested by him in NSC and PPF will be 'x-20000' and 'x-40000' respectively. 

It is given that, x + x-20000 + x-40000 = 150000

$$\Rightarrow$$ x = 70000. 

Hence, the amount invested by Aniket in NSC = x - 20000 = 50000. 

It is given that one-third of the savings made by Animesh in PPF is equal to one-half of his savings in NSC.

Let 'y' be the amount invested by Animesh in NSC. Then we can say that he invested '150000-y' in PPF.

$$\Rightarrow$$ $$\dfrac{150000-y}{3} = \dfrac{y}{2}$$

$$\Rightarrow$$ $$300000-2y = 3y$$

$$\Rightarrow$$ $$y = 60000$$

Therefore, the difference between the amount invested in NSC by Animesh and Aniket = 60000 - 50000 = Rs. 10000. Hence, option D is the correct answer.


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