Question

Q. Soham invested $\frac{1}{3}rd$ of his capital at 7%, $\frac{1}{4}$th at 8% and the reminder at 10%. If the total interest received after a year is Rs 330, then the total capital is

• A. RS 3575.35
• B. Rs 3882.35
• C. Rs. 3950.35
• D. 4152.26
• E. None of these

Answer 1

The correct option is B Rs 3882.35

Let the total capital be x
$\frac{x}{3}\times \frac{7}{100}+\frac{x}{4}\times \frac{8}{100}+(x-\frac{x}{3}-\frac{x}{4})\times \frac{10}{100}=330\frac{7x}{3}+2x+\frac{50x}{12}=3300028x+24x+50x=12\times 33000x=\frac{396000}{102}x=3882.35$