The difference of two positive numbers is 1020. If 7.6% of the greater number is equal to 12.4% of the smaller number, then find the sum of the two numbers.
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Correct answer: D
Explanation
The correct answer is option 4 i.e 4250
Let the greater number be x and smaller number be y
It is given that x - y = 1020
⇒ (7.6/100) × x = (12.4/100) × y
⇒ x/y = 31/19
Let the numbers be 31z and 19z then,
⇒ x - y = 1020
⇒ 31z - 19z = 1020
⇒ 12z = 1020
⇒ z = 85
The sum of both numbers = x + y = 31z + 19z = 50z
⇒ 50 × 85 = 4250