Question

A sum of money is invested at 3 percent and a second sum twice as large as the first is invested at 2 percent. Total 1 interest is Rs.448 per year. The sum invested at 2${}^{\frac{1}{2}}$ percent is -

• A. Rs.1,560
• B. Rs.12,800
• C. Rs.11,120
• D. Rs.11,100

Answer 1

Answer: (B)

Rs.12,800

Let Rs. $100x$ be invested in $3$% and Rs. $200x$ at $2$%

$\therefore {PI}_1=\frac{100x\times 3\times 1}{100}=3x$

${PI}_2=\frac{200x\times 2\times 1}{100}=4x$

BTP

$3x+4x=448$

$7x=448$

$x=64$

$\therefore$Rs. $100x=$Rs. $64,00$

Rs. $200x=$Rs. $1,28,00$

Rs. $1,28,00$