Question
Download Solution PDFThe difference between two numbers is 300. If 6% of one number is 15% of the other number, then find the two numbers
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The difference between two numbers is 300. If 6% of one number is 15% of the other number, then find the two numbers.
Calculation:
From the second equation:
⇒ 0.06x = 0.15y
⇒ 6x = 15y
⇒ x = (15/6)y
⇒ x = 2.5y
Substitute x = 2.5y in the first equation:
⇒ 2.5y - y = 300
⇒ 1.5y = 300
⇒ y = 300 / 1.5
⇒ y = 200
Substitute y = 200 in x = 2.5y:
⇒ x = 2.5 × 200
⇒ x = 500
Hence, the two numbers are 500 and 200.
∴ The correct answer is option 4.
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