Final answer:
Working backward from the price Rahul paid, Vineet's cost price after adding repair costs is found. Then, calculating Ravish's cost price based on his 28% loss reveals the original cost to be Rs 42,000, which does not match the given options.
Step-by-step explanation:
To find the cost price of the motorcycle for Ravish, we need to work backward from the price Rahul paid to Vineet and incorporate the profit percentage and repair costs. Vineet sold the motorcycle at a 12.5% profit, meaning the selling price was 112.5% of his cost price.
Let's denote the cost price for Vineet as V. The selling price for Rahul is Rs 35,910, which includes the profit of Vineet:
112.5% of V = Rs 35,910
1.125V = Rs 35,910
V = Rs 35,910 / 1.125
V = Rs 31,920
Vineet spent Rs 1680 on repairs, so his actual cost without the repairs was:
V - 1680 = Rs 31,920 - 1680
V - 1680 = Rs 30,240
This Rs 30,240 represents 72% of Ravish's cost price because he sold it to Vineet at a loss of 28%. Therefore, to get the cost price for Ravish, we calculate:
72% of Ravish's Cost Price (R) = Rs 30,240
R = Rs 30,240 / 0.72
R = Rs 42,000
So, the cost price of the motorcycle for Ravish was Rs 42,000, which is not listed in the options provided, suggesting there may have been a miscalculation or misinterpretation of the data. It's recommended to review the question and the calculations for accuracy.