Question
Download Solution PDFA number is first decreased by 20% and then increased by 15%. The number so obtained is 64 less than the original number. The original number is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A number is first decreased by 20% and then increased by 15%.
The number so obtained is 64 less than the original number
Calculations:
Let the number be 100x
Number after decrement of 20% = 100x × (100 - 20)/100
⇒ 100x × 80/100 = 80x
Number after 15% increment = 80x × (100 + 15)/100
⇒ 80x × (100 + 15)/100 = 92x
According to the question
100x - 92x = 64 (difference of the original and new number)
⇒ 8x = 64
⇒ x = 8
Original number = 100x = 800
∴ The correct choice is option 2.
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