Profit and Loss
- In the Bargain Bazar everyone purchase with a fair bargaining, so the traders markup the prices too much. A trader marked up an article at Rs. M expected huge profit if it is sold on the marked price. But a customer purchased it at M/2 with his fine bargaining skills, so the expected profit of the trader diminished by 66.66%. What is the percentage discount fetched by the customer through bargaining?
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Let the CP be 100 and % mark up be k% then
MP = 100 + k
100 + k is also expected SP but actual SP = 100 + k / 2
∴ [(100 + k / 2)] / k = (200 / 3) x 100 (= 66.66%)
⇒ k = 300
∴ CP = 100 and MP = 400
Finally SP = 400 / 2 = 200Correct Option: B
Let the CP be 100 and % mark up be k% then
MP = 100 + k
100 + k is also expected SP but actual SP = 100 + k / 2
∴ [(100 + k / 2)] / k = (200 / 3) x 100 (= 66.66%)
⇒ k = 300
∴ CP = 100 and MP = 400
Finally SP = 400 / 2 = 200
∴ Discount = 200 / 400 X 100 = 50%
- Teenagers shoe company sells the shoes whose prices i.e.,cost price and selling price are the multiples of either 13,14,15,16,17,18 or 19, starting from Rs. 399 to Rs.699 (i.e, 399 <_ CP/SP <_ 699). What can be the maximum profit of the company?
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The maximum possible profit = maximum possible difference in SP and CP.
It means SP be maximum and CP be minimum
CP (min) = Rs. 399
19 x m = 399, where m is an integer.
Again SP (max) = Rs. 697, which is very close to 699
Here 697 = 17 k, k is a positive integer.
So, the maximum profit = 697 - 399 = Rs. 298Correct Option: C
The maximum possible profit = maximum possible difference in SP and CP.
It means SP be maximum and CP be minimum
CP (min) = Rs. 399
19 x m = 399, where m is an integer.
Again SP (max) = Rs. 697, which is very close to 699
Here 697 = 17 k, k is a positive integer.
So, the maximum profit = 697 - 399 = Rs. 298
- Jagran group launched a new magazine in January 2004. The group printed 10000 copies initially for Rs. 50000. It distributed 20% of its stock freely as specimen copy and 25% of the rest magazine are sold at 25% discount and rest at 16.66% discount whose printing price was Rs.12 per copy. What is the overall gain or loss in the first month's issue of magazine, if the magazine could not realize the income from advertisements or other resources?
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Total cost = Rs. 50,000
Total sale price (or revenue) = (2000 x 9) + (6000 x 10) = 78,000
Profit (%) = [ 28000 / 50000 ] x 100Correct Option: A
Total cost = Rs. 50,000
Total sale price (or revenue) = (2000 x 9) + (6000 x 10) = 78,000
Profit (%) = [ 28000 / 50000 ] x 100
= 56%
- Pankaj and Sushil invested some amount of money in the ratio of 3 : 5 for the same period in the business.They decided that at the end of the year 20% profit was to be given to AIDS Control Society of india as a donation. Out of the remaining, 75% was to be reinvested and the rest of the profit was to be divided as interest on their capitals.If the difference in there share is Rs. 1200. Find the total profit?
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Let the total profit = 100
Amount left after donation = 50
Amount left after reinvestment = 20
Now, 5y/8 - 3y/8 = 1200
where y is the amount left after reinvestment
⇒ 2x/8 = 1200
⇒ x = 4800
∴ total profit = 4800 x 5 = 24000Correct Option: B
Let the total profit = 100
Amount left after donation = 50
Amount left after reinvestment = 20
Now, 5y/8 - 3y/8 = 1200
where y is the amount left after reinvestment
⇒ 2x/8 = 1200
⇒ x = 4800
∴ total profit = 4800 x 5 = 24000
- Akram Miya has two types of grapes. One is the fresh grapes containing 80% water and dry grapes containing 25% water. He sells 20 kg dry grapes, by adding water to the dry grapes, at cost price. What is the total profit percentage when after adding water the weight of 20 kg dry grapes increase in the proportion of water in fresh grapes?
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Fresh grapes
Water: Pulp = 80% : 20% = 4 : 1
Dry grapes
Water: Pulp = 25% : 75% = 1 : 3
So out of 20 kg dry grapes, Water : Pulp = 5 kg : 15 kg
After adding of water the ratio of water : pulp is same as the fresh grapes = 4 : 1
So after adding water the quantity of Water and Pulp are 60 kg and 15 kg respectively.
Thus to make dry grapes similar to the fresh grapes, Akram requires 55 kg water with 20kg of dry grapes.Correct Option: A
Fresh grapes
Water: Pulp = 80% : 20% = 4 : 1
Dry grapes
Water: Pulp = 25% : 75% = 1 : 3
So out of 20 kg dry grapes, Water : Pulp = 5 kg : 15 kg
After adding of water the ratio of water : pulp is same as the fresh grapes = 4 : 1
So after adding water the quantity of Water and Pulp are 60 kg and 15 kg respectively.
Thus to make dry grapes similar to the fresh grapes, Akram requires 55 kg water with 20kg of dry grapes.
So, the profit (%) = (55 / 20) x 100 = 275 %
