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The selling price of 15 apples is equal to the cost price of 12 oranges find gain or loss percent

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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

The selling price of 12 articles is equal to the cost price of 15 articles. The gain percent is

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 = 12
Gain % =
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 = 12
Gain % =
p - q
× 100
q

Gain % =
15 - 12
× 100
12

The cost price of 20 oranges is same with selling price of 16 oranges. The profit percentage is

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 = 16
Gain % =
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 = $ 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 = 16
Gain % =
p - q
× 100
q

Gain % =
20 - 16
× 100
16

The cost price of 400 lemons is equal to the selling price of 320 lemons. Then the profit percent is

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 = 320
Gain % =
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 = 320
Gain % =
p - q
× 100
q

Gain % =
400 - 320
× 100
320

Gain % = 80 × 100 = 25%
320

The cost price of 24 apples is the same as the selling price of 18 apples. The percentage of gain is :

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 = 18
Gain % =
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 = 18
Gain % =
p - q
× 100
q

Gain % =
24 - 18
× 100
18

Gain % = 6 × 100 = 33 1 %
18 3

The cost price of 25 articles is equal to the selling price of 20 of them. The gain or loss percent is given by

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

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