Sudeep invested $$\frac{1}{8}$$ of a certain sum at 5% p.a. for two years and $$\frac{3}{5}$$ of the sum at 6% p.a. for two years and the remaining at 10% p.a. for two years. If the total interest received is ₹1,674, then the total sum invested is:

Let total sum invested = Rs. $$800x$$

Now, Sudeep invested Rs. $$100x$$ for 2 years at 5%, Rs. $$480x$$ at 6% and Rs. $$220x$$ at 10%

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

=> $$(\frac{100x\times5\times2}{100})+(\frac{480x\times6\times2}{100})+(\frac{220x\times10\times2}{100})=1674$$

=> $$10x+57.6x+44x=1674$$

=> $$x=\frac{1674}{111.6}=15$$

$$\therefore$$ Total sum invested = $$800\times15=Rs.$$ $$12,000$$

=> Ans - (B)