Question

We bought 2 Different Airline tickets (Air India & SpiceJet) together at 700 AED &
Sold Air India ticket for 40% profit & Spice Jet at 20% loss. Overall If we make a profit of 30 AED. What is the cost price of Air India?​

Answer 1

If we make an overall profit of 30 AED on 2 tickets of Airlines at 700 AED, then the cost price of Air India is Rs. 283.33.

Step-by-step explanation:

Step 1:

The cost of two tickets (Air India & SpiceJet) = 700 AED

Overall profit = 30 AED

∴ S.P. of two tickets = 700 + 30 = 730 AED ….. (i)

Step 2:

Let the cost price of the Air India ticket be “x” AED and the cost price of Spice Jet ticket be “(700 - x)” AED.

Required formula:

S.P. = [(100 ± P% or L%)/100] * C.P.

Profit% of Air India ticket is given as = 40%

So, S.P. of Air India ticket = x [(100+40)/100] ….. (ii)

Loss % of Spice Jet ticket is given as =  20%

So, S.P. of Spice Jet ticket = [700-x] * [(100-20)/100] ….. (iii)

Step 3:

Now, adding (ii) & (iii) and equating with (i), we get

x [$\frac{100+40}{100}$] + {700-x} * {$\frac{100-20}{100}$} = 730

⇒ 1.4x + [(700-x)*0.8] = 730

⇒ 1.4x + 560 – 0.8x = 730

⇒ 0.6 x = 170

⇒ x = 283.33 AED

Thus, the cost price of Air India Airline ticket is 283.33 AED.

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