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

Answer: (A)

1530

Answer 2

Let's denote the correct product by $P$ and the multiplicand by $x$.
Sumit’s mistake was using 34 instead of 25. The incorrect product is:
$34x = 25x + 405$
This implies:
$34x - 25x = 405$
$9x = 405$
$x = 45$
The correct product is:
$25x = 25 \times 45 = 1125$
The incorrect product Sumit arrived at is:
$34x = 34 \times 45 = 1530$
Therefore, Sumit’s incorrect answer is:
Answer: A (1530)