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QDifference of two numbers is 1660. If 7.5% of the number is 12.5% of the other number , find the number ?

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#4487Q ID
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  • A 4150 ✔ ✖
  • B 3250 ✔ ✖
  • C 5620 ✔ ✖
  • D 3460 ✔ ✖
Correct Answer: Option A

Explanation



Let x and y be two numbers such that 7.5% of x is equal to 12.5% of y. 

This can be expressed as the equation:

0.075x = 0.125y

We can solve for x in terms of y by rearranging this equation to solve for x:

x = (0.125y) / (0.075)
= (125y) / (75)
= 5y / 3

Now, we are given that x - y = 1660. Substituting our expression for x in terms of y into this equation, we get:

(5y/3) - y = 1660
2y/3 = 1660
y = (1660*3)/2 = 2490

Now that we have solved for y, we can use our expression for x in terms of y to find x:

x = (5y/3) = (5 * 2490) / 3 = 4150

Therefore, the two numbers are x = 4150 and y = 2490.
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