Question
While solving a question, Suhas mistakenly took a number
as the dividend which was 10% less than the original dividend. He also mistakenly took a number as the divisor which was 20% less than the original divisor. If the correct quotient of the original question was 24 and the remainder was 0, assuming that there is no error in his calculation, what quotient did Suhas obtain?Solution
Let the original dividend (D) be 100 units. The correct dividend (D) and divisor (d) result in a quotient of 24 and remainder 0 (i.e., D = 24d), Suhas erroneously took 90% of the dividend (0.9D) and 80% of the divisor (0.8d). The quotient (Q) of these two erroneous values is: Q=0.9D/0.8d. Substitute D = 24d Q = 0.9 x 24d/0.8d Q = 21.6/0.8 Q = 27.
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