Question

Sumit was doing a multiplication, but by mistake instead of taking 25 as one of the multiplier, he took 34. Now, because of this mistake, the answer was 405 more than the correct answer. Find out the answer that Sumit arrived at.

• A. 1530
• B. 1450
• C. 1350
• D. 1620

Answer 1

The Correct Option is A

Step 1: Find the multiplier gap.
Sumit used 34 in place of 25, so the multiplier is off by \( 34 - 25 = 9 \). This gap alone caused the whole 405 excess.

Step 2: Get the number he multiplied.
Since \( 9 \times x = 405 \), the number is \( x = 405 \div 9 = 45 \).

Step 3: Work out Sumit's answer.
Sumit multiplied by 34, so his answer is \( 34 \times 45 = 1530 \). \[ \boxed{1530} \]