While solving a question, Suhas mistakenly took as dividend a number which was 10% less than the original dividend. He also mistakenly took as divisor a number which was 20% less than the original divisor. If the correct quotient of the original question of division was 24 and the remainder was 0, then what quotient did Suhas obtain, assuming there was no error in his calculations?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 27.
Given that
Suhas mistakenly took as dividend a number which was 10% less than the original dividend
He also mistakenly took as divisor a number which was 20% less than the original divisor.
Quotient Q = 24, Remainder R = 0
Formula used
Dividend = Divisor × Quotient + Remainder
Calculation
Let the original dividend D be 100 units
The correct Dividend = 24 divisor + 0
D = 24d
He mistakenly taken dividend D = 90% D = 0.9D
and divisor = 80% d = 0.8d
Now, Quotient Q = 0.9D/0.8d = (9/8) (D/d) = (9/8) × 24 = 27
Hence, the required quotient is 27