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Answer (Detailed Solution Below)
Option 2 : 11.67%
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SP = Selling Price, CP = Cost Price, MP = Marked Price
12SP = 15CP
⇒ SP = 1.25CP
Profit% = [(SP – CP)/CP] × 100
⇒ Profit% = [(1.25CP- CP)/CP] × 100
⇒ Profit% = 0.25CP/CP × 100
⇒ Profit% = 25%
Also, 15CP = 75/4 × (MP – SP)
⇒ 4CP = 5MP – 4SP
⇒ 4CP = 5MP – 4 × (1.25CP)
⇒ 4CP = 5MP – 5CP
⇒ 9CP = 5MP
⇒ MP = 1.8CP
∴ Discount % = [(MP – SP)/MP] × 100
⇒ Discount% = [(1.8CP – 1.25CP)/1.8CP] × 100
⇒ Discount% = [0.55/1.8] × 100
⇒ Discount% = 30(5/9)%
According to the question -
Now, Mark Up% is halved, i.e. 50%, and discount % is 25(5/9) %.
25(5/9)% = 23/90
∴ If cost price is 900, then, marked up price is 1350 and selling price will be (1350 × 67/90) = 1005
So, New SP will be = 1005
∴ Profit = (SP – CP) = (1005 – 900) = 105
∴ Profit% = [(105)/900] × 100
⇒ 11.67%
Let's discuss the concepts related to Profit and Loss and Successive Selling. Explore more from Quantitative Aptitude here. Learn now!
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Profit and Loss
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The selling price of 12 articles is equal to the cost price of 15 articles. The gain percent is
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View Hint View Answer Discuss in Forum
Let the CP of 1 articles = $ 1∴ CP of 12 articles = $ 12SP of 12 articles = $ 15Gain = SP of 12 articles - CP of 12 articles = 15 - 12 = $ 3
∴ Gain percent = Gain × 100 CP of 12 articles Gain percent = 15 - 12 × 100 = 25% 12
We can find gain % with the help of given formula : Here, p = 15, q = 12Gain % = p - q × 100 q
Let the CP of 1 articles = $ 1∴ CP of 12 articles = $ 12SP of 12 articles = $ 15Gain = SP of 12 articles - CP of 12 articles = 15 - 12 = $ 3
∴ Gain percent = Gain × 100 CP of 12 articles Gain percent = 15 - 12 × 100 = 25% 12
We can find gain % with the help of given formula : Here, p = 15, q = 12Gain % = p - q × 100 q Gain % = 15 - 12 × 100 12
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The cost price of 20 oranges is same with selling price of 16 oranges. The profit percentage is
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View Hint View Answer Discuss in Forum
Let the CP of 1 orange = $ 1∴ CP of 16 oranges = $ 16SP of 16 oranges = $ 20Gain = SP of 16 oranges - CP of 16 oranges = 20 - 16 = $ 4
Gain percent = Gain × 100 CP of 16 oranges Gain percent = 4 × 100 = 25% 16
Second method to solve this question : Here, p = 20, q = 16Using gain % formula ,Gain % = p - q × 100 q
Let the CP of 1 orange = $ 1∴ CP of 16 oranges = $ 16SP of 16 oranges = $ 20Gain = SP of 16 oranges - CP of 16 oranges = 20 - 16 = $ 4
Gain percent = Gain × 100 CP of 16 oranges Gain percent = 4 × 100 = 25% 16
Second method to solve this question : Here, p = 20, q = 16Gain % = p - q × 100 q Gain % = 20 - 16 × 100 16
Let the CP of 1 orange = $ 1∴ CP of 16 oranges = $ 16SP of 16 oranges = $ 20Gain = SP of 16 oranges - CP of 16 oranges = 20 - 16 = $ 4Gain percent = Gain × 100 CP of 16 oranges Gain percent = 4 × 100 = 25% 16
Second method to solve this question : Here, p = 20, q = 16Gain % = p - q × 100 q Gain % = 20 - 16 × 100 16
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The cost price of 400 lemons is equal to the selling price of 320 lemons. Then the profit percent is
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View Hint View Answer Discuss in Forum
Let the CP of 1 lemon = $ 1∴ CP of 320 lemons = $ 320SP of 320 lemons = $ 400If SP > CP , then Profit = SP of 320 lemons - CP of 320 lemons = 400 - 320 = $ 80
Profit percent = Profit × 100 CP of 320 lemons Profit percent = 80 × 100 = 25% 320
Second method to solve this question : Here, p = 400, q = 320Gain % = p - q × 100 q
Let the CP of 1 lemon = $ 1∴ CP of 320 lemons = $ 320SP of 320 lemons = $ 400If SP > CP , then Profit = SP of 320 lemons - CP of 320 lemons = 400 - 320 = $ 80
Profit percent = Profit × 100 CP of 320 lemons Profit percent = 80 × 100 = 25% 320
Second method to solve this question : Here, p = 400, q = 320Gain % = p - q × 100 q Gain % = 400 - 320 × 100 320 Gain % = 80 × 100 = 25% 320
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The cost price of 24 apples is the same as the selling price of 18 apples. The percentage of gain is :
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View Hint View Answer Discuss in Forum
Let the CP of 1 apple = $.1∴ CP of 18 apples = $ 18SP of 18 apples = $ 24Gain = SP of 18 apples - CP of 18 apples = 24 - 18 = $ 6
∴ Gain percent = Gain × 100 CP of 18 apples Gain percent = 100 = 33 1 % 3 3
Second method to solve this question : Here, p = 24, q = 18Gain % = p - q × 100 q
Let the CP of 1 apple = $.1∴ CP of 18 apples = $ 18SP of 18 apples = $ 24Gain = SP of 18 apples - CP of 18 apples = 24 - 18 = $ 6
∴ Gain percent = Gain × 100 CP of 18 apples Gain percent = 100 = 33 1 % 3 3
Second method to solve this question : Here, p = 24, q = 18Gain % = p - q × 100 q Gain % = 24 - 18 × 100 18 Gain % = 6 × 100 = 33 1 % 18 3
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The cost price of 25 articles is equal to the selling price of 20 of them. The gain or loss percent is given by
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View Hint View Answer Discuss in Forum
Let the C.P. of each article be $ 1.∴ C.P. of 20 articles = $ 20and S.P. of 20 articles = $ 25Profit = S.P. of 20 articles - C.P. of 20 articles = 25 - 20 = $ 5
Percentage profit = Profit × 100 C.P. of 20 articles Percentage profit = 5 × 100 = 25% 20
Second method to solve this question : Here, p = 25, q = 20Using gain% formula ,Gain % = p - q × 100 q Let the C.P. of each article be $ 1.∴ C.P. of 20 articles = $ 20and S.P. of 20 articles = $ 25Profit = S.P. of 20 articles - C.P. of 20 articles = 25 - 20 = $ 5
Percentage profit = Profit × 100 C.P. of 20 articles Percentage profit = 5 × 100 = 25% 20
Second method to solve this question : Here, p = 25, q = 20Using gain% formula ,Gain % = p - q × 100 q Gain % = 25 - 20 × 100 20