Mr. Dutta desired to deposit his retirement benefit of ₹3 lacs partly to a post office and partly to a bank at 10% and 6 % interests respectively. If his monthly interest income was ₹2000, then the difference of his deposits in the post office and in the bank was:

Let the amount deposited in bank = Rs. $$100x$$ and in post office = Rs. $$(3,00,000-100x)$$

Time period = $$\frac{1}{12}$$ years

Simple interest = $$\frac{P\times R\times T}{100}$$

According to ques,

=> $$(\frac{100x\times6\times1}{12\times100})+(\frac{(3,00,000-100x)\times10\times1}{12\times100})=2000$$

=> $$(\frac{x}{2})+(2500-\frac{5x}{6})=2000$$

=> $$\frac{5x}{6}-\frac{x}{2}=2500-2000$$

=> $$\frac{x}{3}=500$$

=> $$x=500\times3=1500$$

Thus, amount deposited in bank = $$100\times1500=Rs.$$ $$1,50,000$$

Amount deposited in post office = $$3,00,000-1,50,000=Rs.$$ $$1,50,000$$

$$\therefore$$ Difference of his deposits in the post office and in the bank = $$0$$

=> Ans - (A)