Question

Martha was supposed to multiply the number of cans sold with the price of one can to ascertain the amount. Instead of taking $41$ as the number of cans, she wrote $14$ by mistake. As a result, the product went down by $135$. What is the other multiplier?

Answer 1

Hint:We first assume a variable for the other multiplier which is the price of one can. We find the actual price of all the cans and then find the result Martha found out.We take the difference as 135. We simplify the equation to find the value of the variable.

Complete step by step answer:
The other multiplier is the price of one can. Let us assume the price is Rs. $x$.Martha multiplied 14 instead of 41 to $x$. Therefore, the actual multiplied value should have been $14\times x=14x$. But it became $41\times x=41x$.
The product went down by 135. Therefore, the difference between $41x$ and $14x$ is 135.
Creating the equation, we get $41x-14x=135$.
We simplify to get $27x=135$.
Now we divide both sides with 27 to get,
$x=\dfrac{135}{27} \\
\therefore x=5$

Therefore, the other multiplier was 5.

Note:Here 135 is the value of the multiplication of the multiplier 5 with the difference between the numbers 41 and 14. The reduction happened because the difference of $41-14=27$. We can also take that as the unit.