ravish sold his motorcycle to vineet at a loss of 28%. vineet spent Rs.1680 on its repairs and sold the motorcycle to Rahul for Rs.35910, there by making a profit of 12.5%, find the cost price of the motorcycle for ravish.
Answers
Answer:
Rs. 42000
Step-by-step explanation:
Solution:
Let us consider the cost price of motorcycle for Ravish be Rs x
Loss% for Ravish = 28%
Selling price for Ravish = x – x × 28/100 = (100x – 28x)/100 = 72x/100
= Rs 18x/25
Selling price for Ravish = cost price for Vineet = Rs 18x/25
Repair cost by Vineet = Rs 1680
Total cost price of the motorcycle for Vineet = Rs18x/25 + Rs 1680
Selling price for Vineet = Rs 35910
Profit = 35910 – (18x+42000)/25
= Rs (855750 – 18x)/25
Profit % = 12.5% (Given)
By using the formula,
Gain % = (gain/cost price) × 100
=> [(855750-18x)/25] / [(18x+42000)/25] × 100 = 12.5
=> [(855750-18x)/25] × [25/(18x+42000)] = 125/1000
=> (855750-18x) / (18x+42000) = 1/8
=> By cross multiplying we get
=> 8(855750-18x) = (18x+42000)
=> 6846000 – 144x = 18x + 42000
=> 6846000 – 42000 = 18x + 144x
=> 162x = 6804000
x = 6804000/162
= 42000
∴ Cost price of motorcycle for Ravish = Rs 42000
Solution :
• Ravish sold his motorcycle to Vineet at a loss of 28% .
• Vineet spent Rs. 1680 on its repairs and sold the motorcycle to Rahul for Rs. 35910 .
• He made a profit of 12.5%
We have to find the cost price of the motorcycle ( for ravish ) .
Let us start by assuming that the cost price of the motorcycle is Rs. X
Now, ravish sold it at a look loss of 28%.
Selling price of the motorcycle for ravish -
> 72% of x
Now, this becomes the Cost price of Vineet
And He spends Rs. 1680 for repairs.
Total cost price for Vineet
> 72% of x + 1680
Now , he sold to Rahul for a profit of 12.5% .
So, 112.5% of the cost pice of Vineet is Rs. 35910
> 112.5% of ( 72% of x + 1680) = 35910
> 1125/1000 ( 72% of x + 1680) = 35910
> 72% of x + 1680 = 31920
> 72% of x = 30240
> x = Rs. 42,000
Answer - The cost pice of the motorcycle for Ravish is Rs. 42,000
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