Question

6 friends plan for a movie for which they collect ₹2,160 for tickets. If 4 more join the group, then how much should be the total collection?

• A. ₹4,000
• B. ₹4,600
• C. ₹3,400
• D. ₹3,600

Answer 1

The correct option is D ₹3,600

Given,
Cost of 6 tickets is ₹2,160

We know that more the number of tickets, more will be the amount.

$\text{So, Number of tickets}\left(x\right)\propto \text{Cost}\left(y\right)$
$\therefore \frac{x_1}{y_1}$ = $\frac{x_2}{y_2}$

Given,
$x_1=6tickets$
$y_1=₹2,160$
$x_2=6+4=10tickets$
$\text{and}{y}_2=\text{total amount for 10 tickets}$

$\Rightarrow y_2=\frac{x_2\times y_1}{x_1}$

$\Rightarrow y_2=\frac{10\times 2,160}{6}=₹3,600$

Hence, the total collection is ₹3,600.