Question

Ankitesh and his friend Jimmy together sold tickets for a charity show for $Rs3800$. If Ankitesh sold $1\frac{3}{8}$ times as much as Jimmy sold, how much did each of them sell the tickets for?

Answer 1

$\Rightarrow$ Let Jimmy sold the ticket at $Rs.x$

$\Rightarrow$ Then, the price of the ticket sold by Ankitesh $=1\frac{3}{8}x=\frac{11}{8}x$

$\Rightarrow$ So, the total price of the ticket sold by Jimmy and Ankitesh $=x+\frac{11x}{8}=Rs.3800$

$\Rightarrow$ $\frac{19x}{8}=3800$

$\Rightarrow$ $x=\frac{3800\times 8}{19}=Rs.1600$

$\therefore$ The price of ticket sold by Jimmy $=Rs.1600$

$\Rightarrow$ The price of the ticket sold by Ankitesh $=\frac{11}{8}\times 1600=Rs.2200$