Cost price of 12 oranges is equal to the selling price of 9 oranges and the discount on 10 oranges is equal to the profit on 5 oranges. What is the percentage point difference between the profit percentage and discount percentage?
A. 20
B. 22.22
C. 16.66
D. 15
E. None of These
Answer: Option B
Solution(By Examveda Team)
Ratio of selling price and Cost Price,SP : CP = 12 : 9 =4 : 3
Profit of 3 oranges = Rs. 1 (Let CP = Rs. 1)
Profit = $$\frac{1}{3}$$ = 33.33%
and, Discount = 11.11%
Since,
CP : SP : MP = 3 : 4 : 4.5
Profit doubles that of discount.
So, % point discount = 33.33% - 11.11% = 22.22% point.
Detail Explanation:
12 C.P = 9 S.P,
So profit % = $$\frac{{12\,{\text{C}}{\text{.P}}{\text{.}} - 9\,{\text{C}}{\text{.P}}{\text{.}}}}{{9\,{\text{C}}{\text{.P}}{\text{.}}}}$$ = 33.33.
Then it is said that,
5 SP - 5 CP = 10 MP -10 SP
From that we get relation between MP and SP, that is,
27 SP = 24 MP(With help of 12 CP = 9 SP)
THEN DISCOUNT % = $$\frac{{{\text{MP}} - {\text{SP}}}}{{{\text{MP}}}}$$ = 11.11%
So, % point discount = 33.33% - 11.11% = 22.22%
This Question Belongs to Arithmetic Ability >> Profit And Loss
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12* CP = 9* Sp
Cp/Sp = 3/4. - - - [1]
10* discount = 5* profit
= 5* (Sp-Cp)
So, Discount /(Sp-Cp) = 1/2. - - - [2]
From [1], Sp-Cp = 4-3 = 1
So divide [2] by 2 to get Sp-Cp as 1
Then [2] becomes,
Discount /(Sp-Cp) = 0.5/1
Mp=Sp+Discount =4+0.5 =4.5
Now,Cp:Sp:Mp = 3:4.5:4 = 6:9:8 - - - [3]
P% = P/Cp *100.= (8-6)/6 *100 = 100/3 = 33.33%
From [3],
Discount % = discount /Mp *100
=(9-8)/9 *100 =11.11%
So, P%-D% = 33.33-11.11 = 22.22%
Let cost price of one orange =1
cost price of 12 oranges=12
selling price of 9 oranges =12
selling price of 12 oranges =12×129=16
Profit in selling 12 oranges =16-12=4
Profit percentage =4×10012=33.33%
Selling price of 10 oranges =12×109=403
Discount on 10 oranges = profit on 5 oranges =4×512=53
Marked price of 10 oranges =403+53=15
Discount percentage =(53)×10015=11.11%
Required difference
= 33.33% - 11.11% = 22.22%
Let cost price of one orange =1
=1
cost price of 12 oranges=12
=12
selling price of 9 oranges =12
=12
selling price of 12 oranges =
12�12
9
=16
=12�129=16
Profit in selling 12 oranges =16-12=4
Profit percentage =
4�100
12
=33.33%
=4�10012=33.33%
Selling price of 10 oranges =
12�10
9
=
40
3
=12�109=403
Discount on 10 oranges = profit on 5 oranges =
4�5
12
=
5
3
=4�512=53
Marked price of 10 oranges =
40
3
+
5
3
=15
=403+53=15
Discount percentage =
(
5
3
)�100
15
=11.11%
=(53)�10015=11.11%
Required difference
= 33.33% - 11.11% = 22.22%
5 SP - 5 CP = 10MP -10SP
12 CP= 9 SP
27 SP=24 MP
THEN DISCOUNT % = (MP-SP)/MP
substitute MP=27SP/24
we get disc % 11.11
See given that,
Discount on 10 oranges is equal to profit on 5 oranges.
It means
Profit on 5 oranges are Double than the Discount on 10 oranges or Discount is half on 10 oranges than profit on 5 oranges.
And, total discount = 33.33%.
So, discount on 10 oranges should be 11.11%.
Thus, profit on 5 oranges = 22.22% (Double than discount on 10 oranges).
This is not mentioned in the question but you need to depict it by reading question one or two times.
sir,
ye 11.11 kese aaya?
how 11.11? disc
Discount = 11.11 %?
Discount = 11.11 %?
Discount =11.11 % ??
How11.11% ?