26.
A sum lent out at 12% per annum compound
interest for two years amounts to Rs. 15,660. The
sum lent is
a. Rs. 12,000
b. Rs. 12,250
c. Rs. 12,484
d. Rs. 12,880

Respuesta :

Answer:

Option c. Rs. 12,484

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=2\ years\\ A=Rs15,660\\ r=0.12\\n=1[/tex]  

substitute in the formula above  and solve for P

[tex]15,660=P(1+\frac{0.12}{1})^{1*2}[/tex]  

[tex]15,660=P(1.12)^{2}[/tex]  

[tex]P=15,660/(1.12)^{2}[/tex]  

[tex]P=Rs12,484[/tex]