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Vishal and Param each sold their article at ?1,818 but Vishal incurred a loss of 10%, while Param gained by 1%. What is the
ratio of the cost price of Vishal's article to that of Param's article?
101 : 90
3 : 4
85 : 89
81 : 75
- Vishal sold his article for ?1,818, incurring a 10% loss.
- This means Vishal's cost price was higher. The formula to find the cost price when loss is involved is: \(\text{Cost Price} = \frac{\text{Selling Price}}{1 - (\text{Loss Percentage}/100)}\).
- \(\text{Vishal’s Cost Price} = \frac{1818}{0.9} = 2020\).
- Param sold his article for ?1,818, gaining a 1% profit.
- For Param, the cost price calculation with profit is: \(\text{Cost Price} = \frac{\text{Selling Price}}{1 + (\text{Profit Percentage}/100)}\).
- \(\text{Param’s Cost Price} = \frac{1818}{1.01} = 1800\).
- The ratio of Vishal’s to Param’s cost price is \(2020 : 1800\).
- Simplifying the ratio, we get \(101 : 90\).
- Correct Answer: 101 : 90
By: santosh ProfileResourcesReport error
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