Question

find the number when 270 increased in 9:11 ratio?

Answer 1

Increasing or Decreasing a Quantity in a Given Ratio

If the ratio of a new quantity to an old quantity can be expressed as an improper fraction, then the new quantity is greater than the old quantity.  Applying this ratio to the old quantity is known as increasing the old quantity in a given ratio.

If the ratio of a new quantity to an old quantity can be expressed as a proper fraction, then the new quantity is less than the old quantity.  Applying this ratio to the old quantity is known as decreasing the old quantity in a given ratio.

270 increased in the ratio 9 :11 implies  that

New quantity : old quantity = 9 : 11

Let old quantity x and new quantity 270.

270 : x = 9 : 11

270/x = 9/11

Cross multiplication.

270*11 = 9x

x  = (270*11)/9

x  = 30*11

x  = 330

The number is 330.

 

Answer 2

270 = 9 : 11

means, 270/9 = 30.

30 * 11 = 330.

Required number is 330.