Question:
The sum of two numbers is 2490. If 6.5% of one number is equal to 8.5% of the other, the numbers are
The sum of two numbers is 2490. If 6.5% of one number is equal to 8.5% of the other, the numbers are
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When percentages of two numbers are equal, reduce to a simple ratio.
Updated On: Aug 11, 2025
- 1411 and 1079
- 1412 and 1080
- 1141 and 1709
- 1214 and 1800
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The Correct Option is A
Solution and Explanation
Let numbers be $A$ and $B$. Given $0.065A=0.085B\Rightarrow A:B=17:13$.
So $A=17k,\;B=13k$ and $17k+13k=2490\Rightarrow 30k=2490\Rightarrow k=83$.
Hence $A=17\times83=1411$, $B=13\times83=1079$.
So $A=17k,\;B=13k$ and $17k+13k=2490\Rightarrow 30k=2490\Rightarrow k=83$.
Hence $A=17\times83=1411$, $B=13\times83=1079$.
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