Plane Question

We let $E$ be the number of executive class ticket sold and $B$ be the number of business class ticket sold. Then our equation must be

$600E-144B=0$

However, it was stated in the problem that $B=24500$ , so we substitute

$600E-144(24500)=0$

$600E-3528000=0$ (multiply 144 by 24500)

$600E=3528000$ (add 3528000 to both sides of the equation or transposed -3528000 to the right side)

Dividing both sides by $600$ , we get

$E=$ $\color{#D61F06}\large \boxed{5880}$

Loss on the business tickets $=144 \times 24500=3528000$ . And one executive class ticket adds a profit of $600$ . So to compensate the loss, we should sell $\left( \dfrac{3528000}{600} \right) =5880$ executive class tickets. $\square$

Let the number of executive class tickets required to sell to achieve the zero profit/loss state is $a$ .

Hence mathematically we can say that

$(-144 \times 24500) +( a \times 600 ) = 0$

$\Rightarrow 600a = 3528000$

$\Rightarrow a = \dfrac{3528000}{600}=5880 . \square$

number of business class tickets=24500

loss incurred on each business class ticket = 144

so,total loss incurred=24500*144 =3528000

profit on each executive class ticket = 600

so,number of executive tickets =3528000\600 = 5880

24500 * 144 = 3528000

3258000 / 600 = 5880

24500×144/600

A DIFFERENT APPROACH TO THIS QUESTION,

We know that the L.C.M. of 144 and 360 is 3600. thus if he sells 6 executive class tickets, then he can earn as much as he had incurred loss by selling 25 tickets..

Hence, according to direct proportions... x/24500=6/25 (x refers to the executive tickets sold.)

.therefore, x=5880

5880 bcoz 144 X 24500 =3528000 /600=5880

245000*-144+x(600)=0 -3528000+600x=0 600x=3528000 x=5880

Technically Indigo Airlines is a no- frills airline and does not offer business or executive class services. But yes the solution is

No of seats = (24500 x 144)/600 that gives you 5880 seats

-144 24500+600y=0 Y=(144 24500)/600 =5880

Business ticket 144X24500=Exclusive TicketX600 Exclusive Ticket=(144X24500)/600=5880

If Executive class tickets sold are 'x' ,then for no profit no loss, it should generate the loss of income= 144*24500=3528000

So 600x=3528000 , x=5880