Advertisements
Advertisements
Question
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.
Advertisements
Solution
\[\text { Given }, \]
\[\text { Gain on one cycle = Rs . } 360\]
\[\text { Gain = 20 % }\]
\[\text { Gain % } = \frac{\text { Gain }}{CP} \times 100\]
\[20 = \frac{360}{CP} \times 100\]
\[CP = Rs . 1800\]
\[SP = \frac{100 + \text { Gain % }}{100} \times CP\]
\[SP = \frac{120}{100} \times 1800 = Rs . 2160\]
\[\text { SP = Rs } . 2160\]
\[\text { Discount = 20 % } \]
\[\text { MP } = \frac{100 \times SP}{100 -\text { Discount % }}\]
\[\text { MP }= \frac{100 \times 2160}{80} = Rs . 2700\]
\[\text { Hence, the MP of one cycle is Rs } . 2700 .\]
RELATED QUESTIONS
Juhi sells a washing machine for ₹ 13,500. She loses 20% in the bargain. What was the price at which she bought it?
A dealer buys a wristwatch for Rs 225 and spends Rs 15 on its repairs. If he sells the same for Rs 300, find his profit percent.
A dishonest shopkeeper professes to sell pulses at his cost price but uses a false weight of 950 gm for each kilogram. Find his gain percent.
A dealer bought two tables for Rs 3120. He sold one of them at a loss of 15% and other at a gain of 36%. Then, he found that each table was sold for the same price. Find the cost price of each table.
A tradesman marks his goods at such a price that after allowing a discount of 15%, he makes a profit of 20%. What is the marked price of an article whose cost price is Rs 170?
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 mobile phone is sold for ₹ 8400 at a gain of 20%. The cost price of the mobile phone is ________
Rani bought a set of bangles for ₹ 310. Her neighbour liked it the most. So, Rani sold it to her for ₹ 325. Find the profit or loss to Rani.
A stationery shop owner bought a scientific calculator for ₹ 750. He had put a battery worth ₹ 100 in it. He had spent ₹ 50 for its outer pouch. He was able to sell it for ₹ 850. Find his profit or loss
The marked price of an article when it is sold for Rs 880 after a discount of 12% is ______.
