A 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:
A 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:
एक संख्या को पहले 15% घटाया जाता है और फिर 20% बढ़ाया जाता है। इस प्रकार संख्या, मूल संख्या से 78 अधिक है। मूल संख्या ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
3900
Let the original number be $x$.
After decreasing by $15%$:
$x \times (1 - 0.15) = 0.85x$
After increasing this by $20%$:
$0.85x \times (1 + 0.20) = 1.02x$
According to the question:
$1.02x = x + 78$
$1.02x - x = 78$
$0.02x = 78$
$x = \dfrac{78}{0.02} = 3900$
Original number = 3900
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