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During a division, Pranjal mistakenly took as the dividend a number that was 10% more than the original dividend. He also mistakenly took as the divis
Question

During a division, Pranjal mistakenly took as the dividend a number that was 10% more than the original dividend. He also mistakenly took as the divisor a number that was 25% more than the original divisor. If the correct quotient of the original division problem was 25 and the remainder was 0 , what was the quotient that Pranjal obtained, assuming his calculations had no error?

A.

21.75

B.

21.25

C.

28.75

D.

22

Correct option is D

Given:
Pranjal mistakenly took:
A dividend that was 10% more than the original dividend.
A divisor that was 25% more than the original divisor.
The correct quotient of the original division is 25, and the remainder is 0.
solution:
Let the original dividend = 100x
Mistakenly increased dividend = 100 × 110% = 110x
Let original divisor = 100y
Mistakenly increased divisor = 100y × 125% = 125y
Dividend = divisor × quotient + remainder
100x = 100y × 25 + 0
x/y = 25/1
Increased dividend = 110x = 110 × 25 = 2750
Increased divisor = 125y = 125 × 1 = 125
Quotient = 2750/125 = 22 ​
Thus, correct option is (d).

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