Question

Anita had to do a multiplication Instead of taking 35 as one of the multipliers she took 53 As a result the product went up by 540 What is the new product?
$
  {\text{A}}{\text{. }}1050 \\
  {\text{B}}{\text{. }}540 \\
  {\text{C}}{\text{. }}1440 \\
  {\text{D}}{\text{. }}1590 \\
 $

Answer 1

Hint: Here we go through by assuming the second number as ‘x’ from which we have to multiply our number. And then multiply it by the given number 35 and 53 and in the question the difference is given for both the number. So we will make the equation from that number and get the result.

Complete step-by-step answer:
Here in the question it is given that Anita had to do a multiplication Instead of taking 35 as one of the multipliers she took 53 As a result the product went up by 540.
Now first let the number that Anita wanted to multiply be 'X'.
She wanted to multiply this number by 35 to find the value of 35x.
But instead of taking 35 she takes it as 53 and finds the value of 53x.
And in the question it is given that the difference between the value that she got (53X) and what she was expected to get (35X) is 540.
It means that,
$
   \Rightarrow 53x - 35x = 540 \\
   \Rightarrow 18x = 540 \\
   \Rightarrow x = \dfrac{{540}}{{18}} = 30 \\
  \therefore x = 30 \\
 $
Now we have to find out the new product. It means that we have to find out the value of 53x.
i.e. $53 \times 30 = 1590$.
Hence option D is the correct answer.

Note: Whenever we face such a type of question the key concept for solving the question is to always assume one number as variable and then go through the statements of the question to make the equation and from that equation we will be able to find out the value of that variable. And from that value we will be able to calculate our answer.