Advertisements
Advertisements
प्रश्न
A lady buys some pencils for Rs 3 and an equal number for Rs 6. She sells them for Rs 7. Find her gain or loss%.
Advertisements
उत्तर
Let the lady buys x number of pencils for ₹ 3.
Cost price for one pencil, CP1 = `₹ 3/x`
Also, she buys same number of pencils for ₹ 6.
∴ Cost price for one pencil, CP2 = `₹ 6/x`
Now, total pencils = x + x = 2x
∵ She sells, 2x pencils = ₹ 7
∴ Selling price of 1 pencil = `₹ 7/(2x)`
Case I: We know that,
Gain = SP – CP
∴ Gain = `₹(7/(2x) - 3/x)`
= `₹((7 - 6)/(2x))`
= `₹ 1/(2x)`
∴ Gain % = `"Gain"/"CP" xx 100`
= `(1/(2x))/(3/x) xx 100`
= `100/(2 xx 3)`
= `50/3%`
Case II: Also, we know that,
Loss = CP – SP
Loss = `6/x - 7/(2x)`
= `(6 xx 2 - 7)/(2x)`
= `₹ 5/(2x)`
∴ Loss % = `"Loss"/"CP" xx 100`
= `(5/(2x))/(6/x) xx 100`
= `250/6`
= `125/3%`
∴ Net gain % = `125/3 - 50/3`
= `75/3`
= 25%
APPEARS IN
संबंधित प्रश्न
A retailer buys a radio for Rs 225. His overhead expenses are Rs 15. If he sells the radio for Rs 300, determine his profit percent.
On the eve of Gandhi Jayanti a saree is sold for Rs 720 after allowing 20% discount. What is its marked price?
A publisher gives 32% discount on the printed price of a book to booksellers. What does a bookseller pay for a book whose printed price is Rs 275?
A lady shopkeeper allows her customers 10% discount on the marked price of the goods and still gets a profit of 25%. What is the cost price of a fan for her marked at Rs 1250?
Harbhajan Singh bought 500 kg of rice for 22000 rupees and sold it all at the rate of Rs. 48 per kg. How much profit did he make?
Vaidegi sold two sarees for ₹ 2200 each. On one she gains 10% and on the other she loses 12%. Find her total gain or loss percentage in the sale of the sarees
Music CD originally priced at Rs 120 is on sale for 25% off. What is the S.P.?
Sonia and Rahul have different ways of calculating the sale price for the items they bought.
As you work on the next problem, try both of these methods to see which you prefer.
With the decrease in prices of tea by 15% Tonu, the chaiwallah, was able to buy 2 kg more of tea with the same Rs 45 that he spent each month on buying tea leaves for his chai shop. What was the reduced price of tea? What was the original price of tea?
John sells goods worth ₹ 2,000 to Manish belonging to the same state. John gives a discount of 20% and charges GST = 5%. Then John gets ______.
