Question
Download Solution PDFDuring 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?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
New dividend = 110% × original dividend
New divisor = 125% × original divisor
Formula used:
Dividend = divisor × quotient + remainder
Calculation:
Let the original dividend = 100x
Mistakenly increased dividend = 100 × 110% = 110x
Let original divisor = 100y
Mistankenly 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
∴ The correct answer is 22.
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