Advertisements
Advertisements
Question
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
Solution
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
RELATED QUESTIONS
Ramesh bought two boxes for Rs 1300. He sold one box at a profit of 20% and the other box at a loss of 12%. If the selling price of both boxes is the same, find the cost price of each box.
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.
After allowing a discount of 20% on the marked price of a lamp, a trader loses 10%. By what percentage is the marked price above the cost price?
Abraham bought goods worth Rs 50000 and spent Rs 7000 on transport and octroi. If he sold the goods for Rs 65000, 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 ₹ 8600, transport charges ₹ 250, porterage ₹ 150, selling price ₹ 10000
Somu bought a second hand bike for ₹ 28,000 and spent ₹ 2,000 on its repair. He sold it for ₹ 30,000. Find his profit or loss
Mangai bought a cell phone for ₹ 12585. It fell down. She spent ₹ 500 on its repair. She sold it for ₹ 7500. Find her profit or loss
The loss per cent on selling 140 geometry boxes at the loss of S.P. of 10 geometry boxes is equal to ______.
Under GST ‘value addition’ refers to ______.
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 ______.
