Question
Download Solution PDFA number is first decreased by 15% and then increased by 20%. The number so obtained is 78 more than the original number. The original number is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A number is first decreased by 15% and then increased by 20%. The number so obtained is 78 more than the original number.
Calculation:
Let the original number be x.
After decreasing by 15%, the number becomes x - 0.15x = 0.85x
After increasing by 20%, the number becomes 0.85x + 0.20(0.85x) = 0.85x + 0.17x = 1.02x
According to the given condition:
1.02x = x + 78
⇒ 0.02x = 78
⇒ x = 78 / 0.02
⇒ x = 3900
∴ The correct answer is option (4).
Last updated on Jul 8, 2025
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