A) Selling Price for Jake: Jake sold the scooter to Sophia after deducting 20% from the purchase price of RS 3,00,000.
The deduction amount is: [ 20% \ 3,00,000 = frac{20}{100} times 3,00,000 = 60,000 ]
So, the selling price for Jake is: [ 3,00,000 - 60,000 = 2,40,000 ]
B) Price Comparison in Ratio: Sophia sold the scooter to Eron at a profit of RS 6,000. Therefore, Eron’s purchase price is: [ 2,40,000 + 6,000 = 2,46,000 ]
Now, we compare the prices of Jake and Eron in the form of a ratio: [ frac{Jake’s Selling Price}{{Eron’s Purchase Price}} = \frac{2,40,000}{2,46,000} ]
To simplify this ratio, we can divide both numbers by the greatest common divisor of both, which is 6,000: [ frac{2,40,000}{6,000} : frac{2,46,000}{6,000} = 40 : 41 ]
The simplified ratio of the price comparison between Jake and Eron is 40:41.