Advertisements
Advertisements
Question
Ravish sold his motorcycle to Vineet at a loss of 28%. Vineet spent Rs 1680 on its repairs and sold the motor cycle to Rahul for Rs 35910, thereby making a profit of 12.5%, find the cost price of the motor cycle for Ravish.
Advertisements
Solution
\[\text { Let the cost price of the motorcycle for Ravish be Rs . x } . \]
\[\text { Loss % }= 28 % \]
\[\text { Therefore, SP = CP }\left( \frac{100 -\text { Loss % }}{100} \right)\]
\[\text { SP = Rs . x }\left( \frac{72}{100} \right)\]
\[\text { Selling price of the motorcycle for Ravish = Cost price of the motorcycle for Vineet }\]
\[\text { Money spent on repairs = Rs } . 1680\]
\[\text { Therefore, total cost price of the motorcycle for Vineet = Rs } . ( x\left( \frac{72}{100} \right) + 1680)\]
\[\text { Selling price of the motorcycle for Vineet } = Rs . 35910\]
\[\text { Profit % = 12 . 5 % } \]
\[\text { SP = CP }\left( \frac{\text { Profit % } + 100}{100} \right)\]
\[ \Rightarrow 35910 = \left( \frac{72x}{100} + 1680 \right)\left( \frac{12 . 5 + 100}{100} \right)\]
\[ \Rightarrow 35910 \times 100 \times 100 = (72x + 168000)(112 . 5)\]
\[ \Rightarrow 359100000 = 8100x + 18900000\]
\[ \Rightarrow 340200000 = 8100x\]
\[ \Rightarrow x = Rs . 42000\]
\[\text { Therefore, Ravish bought the motorcycle for Rs }. 42000\]
RELATED QUESTIONS
Rohit buys an item at 25% discount on the marked price. He sells it for Rs 660, making a profit of 10%. What is the marked price of the item?
A cycle merchant allows 20% discount on the marked price of the cycles and still makes a profit of 20%. If he gains Rs 360 over the sale of one cycle, find the marked price of the cycle.
Pramod bought 100 bunches of methi greens for Rs 400. In a sudden downpour, 30 of the bunches on his handcart got spoilt. He sold the rest at the rate of Rs 5 each. Did he make a profit or a loss? How much?
Using the figures given below, frame problems based on profit percent or loss percent.
Cost price ₹1600, selling price ₹ 2800
Using the figures given below, frame problems based on profit percent or loss percent.
Cost price ₹ 8600, transport charges ₹ 250, porterage ₹ 150, selling price ₹ 10000
A man buys a chair for ₹ 1500. He wants to sell it at a profit of ₹ 250 after making a discount of ₹ 100. What is the M.P. of the chair?
A man bought 400 metre of cloth for ₹ 60,000 and sold it at the rate of ₹ 400 per metre. Find his profit or loss
______ expenses are the additional expenses incurred by a buyer for an item over and above its cost of purchase.
Ashima sold two coolers for Rs 3,990 each. On selling one cooler she gained 5% and on selling the other she suffered a loss of 5%. Find her overall gain or loss % in whole transaction.
In an entertainment programme, 250 tickets of ₹ 400 and 500 tickets of ₹ 100 were sold. If the entertainment tax is 40% on ticket of ₹ 400 and 20% on ticket of ₹ 100, find how much entertainment tax was collected from the programme.
