Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 64318

A pack of fruits has 100 units and its total cost is $117.5. If 17% of
[#permalink]
Show Tags
16 Jul 2019, 07:00
Question Stats:
75% (01:47) correct 25% (02:22) wrong based on 334 sessions
HideShow timer Statistics
A pack of fruits has 100 units and its total cost is $117.5. If 17% of fruits in a pack are rotten, at least what is the unit selling price to earn a total profit of $90? A. $2.2 B. $2.3 C. $2.4 D. $2.5 E. $2.6
Official Answer and Stats are available only to registered users. Register/ Login.
_________________




Manager
Joined: 29 Nov 2018
Posts: 110
Location: India
Concentration: Entrepreneurship, General Management
GPA: 3.99
WE: Engineering (Computer Hardware)

Re: A pack of fruits has 100 units and its total cost is $117.5. If 17% of
[#permalink]
Show Tags
16 Jul 2019, 07:07
A pack of fruits has 100 units and its total cost is $117.5. If 17% of fruits in a pack are rotten, at least what is the unit selling price to earn a total profit of $90?
A. $2.2 B. $2.3 C. $2.4 D. $2.5 E. $2.6
17% percent fruits are rotten. Hence total number of good fruits = 83 We need to earn a profit of $90. Hence total selling price should be $117.5 + $90 = $207.5 Total fruits to be sold = 83 Hence selling price of each fruit = $207.5/83 = $2.5
Hence Answer = D




Senior Manager
Joined: 15 Jul 2018
Posts: 311

Re: A pack of fruits has 100 units and its total cost is $117.5. If 17% of
[#permalink]
Show Tags
16 Jul 2019, 07:05
Let SP of single fruit be x 83x117.5=90
x=2.5
Posted from my mobile device



Manager
Joined: 15 Jun 2019
Posts: 151

A pack of fruits has 100 units and its total cost is $117.5. If 17% of
[#permalink]
Show Tags
Updated on: 17 Jul 2019, 01:43
A pack of fruits has 100 units and its total cost is $117.5. If 17% of fruits in a pack are rotten, at least what is the unit selling price to earn a total profit of $90?
given : total units, and total cost price which is 117.5 dollars.
out of which 17% are rotten so 17% of 100 which is 17 rotten so now number of fruits remaining is 100  17 = 83.
total profit is $90
so total selling price = cost price + profit 117.5 + 90 = 207.5 dollars
so net minimum selling price ie one has to price the remaining units to the total selling price = total selling price / no of units left.
= 207.5/ 83
= 2.5 dollars
ie ans D
Originally posted by ccheryn on 16 Jul 2019, 08:05.
Last edited by ccheryn on 17 Jul 2019, 01:43, edited 2 times in total.



SC Moderator
Joined: 25 Sep 2018
Posts: 871
Location: United States (CA)
Concentration: Finance, Strategy
GPA: 3.97
WE: Investment Banking (Investment Banking)

Re: A pack of fruits has 100 units and its total cost is $117.5. If 17% of
[#permalink]
Show Tags
16 Jul 2019, 08:12
A pack of fruits has 100 units and its total cost is $117.5. If 17% of fruits in a pack are rotten, at least what is the unit selling price to earn a total profit of $90? A. $2.2 B. $2.3 C. $2.4 D. $2.5 E. $2.6 Solution:We need to find the selling price per unit of the fruit. Selling Price  Cost Price = Profit,Therefore Cost per unit + Profit Per unit = Selling price per unit.Cost price per unit can be obtained by dividing the total cost by the number of units. i.e \(\frac{117.5}{83}\)=$ 1.41, remember even if those 17 fruits are rotten, we still have to consider their cost. Profit per unit = \(\frac{90}{83}\) units = $1.09 Per unit. Therefore, Selling price per unit will be $1.41 + $1.09 = $ 2.5 Hence the answer is D
_________________



Manager
Joined: 24 Jun 2019
Posts: 66

Re: A pack of fruits has 100 units and its total cost is $117.5. If 17% of
[#permalink]
Show Tags
16 Jul 2019, 08:14
A pack of fruits has 100 units and its total cost is $117.5. If 17% of fruits in a pack are rotten, at least what is the unit selling price to earn a total profit of $90?
Total units = 100 % of Rotten Units = 17% Number of Rotten Units = 17 Remaining Good Units that can be sold = 83
Expected profit = 90$ Cost = 117.5$ Minimum Total Selling Price = 90+117.5 = 207.5$
Minimum per unit selling price to get 90$ profit = 207.5/83
We could dicide to get the answer, BUT, MANUAL DIVISION IS DIFFICULT
In my opinion it will be easier to multiply the answer choices with 83 to see if we get 207.5
A  2.2 83x2.2 = 182.6.... Discarded... It will not give 90$ profit
A was 2 far, so lets skip B and try C (we can always come back to B)
C  2.4 83x2.4 = 199.2.... Discarded... It will not give 90$ profit
D  2.5 83x2.5 = 207.5.... Bingo! This is the least sellping price that will give exactly 90$ profit
Answer  D  2.5



DS Forum Moderator
Joined: 19 Oct 2018
Posts: 1890
Location: India

A pack of fruits has 100 units and its total cost is $117.5. If 17% of
[#permalink]
Show Tags
16 Jul 2019, 08:50
Cost price of 100 units of fruits= $117.5
Number of units that are available to sell= 100(17% of 100)=83 Least Selling price of the 83 units in order to earn $90 profit= 117.5+90=$207.5
Least selling price per unit= Total selling Price/Available units to sell= 207.5/83= $2.5



Manager
Joined: 18 Jun 2013
Posts: 103
Location: India
Concentration: Technology, General Management
GPA: 3.2
WE: Information Technology (Consulting)

Re: A pack of fruits has 100 units and its total cost is $117.5. If 17% of
[#permalink]
Show Tags
16 Jul 2019, 10:11
Given,
Total units in a pack of fruits = 100 Total cost of a pack of fruits = 117.5$ Total profit to be earned = 90$ Number of rotten fruits in a given pack = 17
To find, Minimum selling price per unit of fruit in a pack of fruits to get a profit of 90$
Assumption = Rotten fruits do not get sold.
Let unit selling price of each non rotten fruit be x
Number of non rotten fruits * Selling price of each non rotten fruit = Total cost price + Total target profit => x * (100  17) = 117.5 + 90 83 * x = 207.5 x = 2.5
Answer: D



Current Student
Joined: 12 Mar 2018
Posts: 19
Location: United States

Re: A pack of fruits has 100 units and its total cost is $117.5. If 17% of
[#permalink]
Show Tags
16 Jul 2019, 21:07
A pack of fruits has 100 units and its total cost is $117.5. If 17% of fruits in a pack are rotten, at least what is the unit selling price to earn a total profit of $90?
A. $2.2 B. $2.3 C. $2.4 D. $2.5 E. $2.6
Correct answer D
Out of 100 units, if 17% are rotten, then there are only 83 units remaining that could be sold.
On a cost of $117.5, to make a profit of $90, the total revenue from the sale of 83 units should be atleast 117.5 + 90 = 207.5.
83 * X >= 207.5, where X is the selling price of each unit Hence, X >= 207.5/83 > X >= 2.5
(Since division of 207.5/83 is not straight forward, at this point you could also use back solving by trying to pick the numbers from answer choices and multiplying with 83 to check if the total is greater than or equal to 207.5. Starting with D helps because 2.5 is easier to multiply with 83)



Senior Manager
Status: eternal student
Joined: 06 Mar 2018
Posts: 325
Location: Kazakhstan
Concentration: Technology, General Management
GPA: 3.87

Re: A pack of fruits has 100 units and its total cost is $117.5. If 17% of
[#permalink]
Show Tags
16 Jul 2019, 23:09
A pack of fruits has 100 units and its total cost is $117.5. If 17% of fruits in a pack are rotten, at least what is the unit selling price to earn a total profit of $90?
100 fruit units = $117.5 17% of the fruits are rotten, so 83 fruit units can be sold to make some profit. We need to make +$90 profit to our total cost, even if 17% of fruit unites are rotten we still need out money back. So $117.5 + $90 = $207.5 We will divide this number to the number of fruit units that can be sold  83 $207.5 / 83 = $2.5A. $2.2 B. $2.3 C. $2.4D. $2.5E. $2.6D is the answer.
_________________
My SC approach flowchartMy Verbal Flashcards(no one is ideal, please correct if you see any mistakes or gaps in my explanation, it will be helpful for both of us, thank you) ___________________ "Nothing in this life is to be feared, it is only to be understood" ~ Marie Curie




Re: A pack of fruits has 100 units and its total cost is $117.5. If 17% of
[#permalink]
16 Jul 2019, 23:09




