Ambani bought a total of 30 Aircraft, Lamborghini, and Bentley for Rs.136 million. He bought one Lamborghini more than Bentley. The cost of each Aircraft was Rs. 8 million each, Lamborghini was Rs. 3 million each and Bentley was Rs. 4 million each. How many Aircraft did he buy?

Ambani bought a total of 30 Aircraft, Lamborghini, and Bentley for Rs.136 million. He bought one Lamborghini more than Bentley. The cost of each Aircraft was Rs. 8 million each, Lamborghini was Rs. 3 million each and Bentley was Rs. 4 million each. How many Aircraft did he buy? Correct Answer <span lang="EN-IN" style=" line-height: 107%; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">7</span>

Calculation:

Let the number of Aircraft, Lamborghini and Bentley bought by Ambani be x, y, and z respectively.

According to the question:

x + y + z = 30      ----(i)

8x + 3y + 4z = 136      ----(ii)

From (ii) – (i) × 4, we get

4x – y = 16      ----(iii)

From (iii)

When y = 0 then x = 4

∴ z = (30 – 4 - 0)

⇒ z = 26

The other solutions are obtained by adding 1 repeatedly to x.

When x = 5 then y = 4

∴ z = (30 – 5 - 4)

⇒ z = 21

When x = 6 then y = 8

∴ z = (30 – 6 - 8)

⇒ z = 16

When x = 7 then y = 12

∴ z = (30 – 7 - 12)

⇒ z = 11

When x = 8 then y = 16

∴ z = (30 – 8 - 16)

⇒ z = 6

When x = 9 then y = 20

∴ z = (30 – 9 - 20)

⇒ z = 1

When x = 10 then y = 34

∴ z = (30 – 10 - 34)

⇒ z = -14

This is not possible.

Calculate results in a table.

Since he bought at least one of each thing and one more Lamborghini than Bentley.

So, 4^th combination is the right combination.

No. of Aircrafts = 7 ; No. of Lamborghinis = 12 ; No. of Bentleys = 11

Ambani bought 7 Aircraft.