Question

If \(58{1\over3}\)% of a number is added with itself, then result becomes 6137. Find the original number.
1. 3846
2. 3825
3. 2856
4. 3876
5. 3841

Answer 1

Correct Answer - Option 4 : 3876

Given:

Result by adding original number and its \(58{1\over3}\)% = 6137.

Calculation:

Let, the original number is x.

Then, \(58{1\over3}\)% of the number =  175x/300

⇒ 7x/12

58(1/3)% of the number is added to itself = (7x/12) + x = 6137

⇒ 19x/12 = 6137

⇒ x = 6137 × (12/19)

⇒ x = 3876

∴ The original number is 3876.