Questions

Tipu Sultan was the first indian ruler to apply the western methods to his administration. Sultan Fateh Ali Sahab Tipu, also known as the Tipu Sahib, was a ruler of the Kingdom of Mysore. He was the eldest son of Sultan Hyder Ali of Mysore.

Tipu Sultan introduced a number of administrative innovations during his rule, including his coinage, a new Mauludi lunisolar calendar, and a new land revenue system which initiated the growth of the Mysore silk industry.

He was one of the few South Indian kings to provide stiff resistance to British imperialism, along with Hyder Ali. He is applauded as a ruler who fought against British colonialism. Similarly he has been a controversial figure and criticized for his atrocities against Hindus, Christians, and Mappla Muslims.

Quantity 1:
Let the first pipe alone takes x hours to fill the
tank.
⇒The second and third pipes will take (x-5) and
(x-9) hours respectively.
According to the given information:
∴ 1x-9

⇒ (x-9)(2x-5) = x2 – 5x
⇒ 2x2 – 5x – 18x + 45 = x2 – 5x
⇒ x
2 -18x + 45 = 0
⇒ (x-15) (x-3) = 0
⇒ x = 15, 3

The first pipe can take 15 hours to fill the kund.
∵ 3 hours doesn’t satisfy the statement.
Quantity 2:
∴ Time taken by second pipe = x-5
⇒ Time taken by second pipe = 15-5 = 10hours
∴ Time taken by third pipe = x -9
⇒ Time taken by third pipe = 15- 9 = 6 hours
Now,

Net part filled in 1 hour = 115+110+16
⇒ Net part filled in 1 hour = 4+6+1060
⇒Net part filled in 1 hour = 2060=13
∴The Kund will be full in 3/1 hours if all the pipes are opened simultaneously
Now, comparing
15 > 3
Thus, Quantity 1 > quantity 2