Question

if the rate of a ticket is reduced to rupees 414 from rupees 450 what is the percentage reduction in the rate of the tickets​

Answer 1

reduction in ticket÷ X 100 = 450-414 ÷

total amount of ticket 450

36/450 × 100 = 8 percent

Answer 2

Original price = ₹ 450

Reduced price = ₹ 414

Total reduction = ₹(450 - 414) = ₹36

Now,

Let the percentage be x

According to question,

x% of 450 = 36

${\sf{\implies\:{\dfrac{x}{100}}\: \times\: 450\: =\: 36}}$

${\sf{\implies\:{\dfrac{x}{10\not0}}\: \times\: 45\not0\: =\: 36}}$

${\sf{\implies\: x\: =\: {\dfrac{36\: \times\: 10}{45}}}}$

⟹ x = 7.5

${\sf{\huge{\boxed{\red{Answer\: =\: 7.5\%}}}}}$