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Total cost of 100 units =117.5
17% of the 100 units are rotten so there is 83 units left to sell.
We know profit = no.of units *SP-TC
Therefore the least selling price to earn $90 profit, =83*2.5-117.5 =90 Answer is D Posted from my mobile device _________________ Tashin Manager  S Joined: 07 Dec 2018 Posts: 112 Location: India Concentration: Technology, Finance GMAT 1: 670 Q49 V32 Re: A pack of fruits has 100 units and its total cost is$117.5. If 17% of  [#permalink]

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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?

17% of fruits in a pack are rotten.
So, sellable fruits : 83/100

To make $90 profit : Total SP = 117.5 + 90 = 207.5 Least unit selling price = 207.5/83 = 2.37 So, Ans should be (C) Intern  B Joined: 09 Jul 2019 Posts: 38 Re: A pack of fruits has 100 units and its total cost is$117.5. If 17% of  [#permalink]

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1
To earn $90, store needs to sell all of the remaining fruits for 208 (add 90 to 108) approximately. If 208 gets divided by remaining 83 pieces of fruits, D will be answer Intern  B Joined: 08 Jul 2019 Posts: 37 Re: A pack of fruits has 100 units and its total cost is$117.5. If 17% of  [#permalink]

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1
Out of 100, 17 are rotten. Only 83 can be sold.
Revenue-Expense=Profit
R-117.5=90
R=90+117.5
R=207.5 needs to be received for 83 units of fruits
price per unit:
207.5=83 units
x=1 unit
207.5*1/83=x
2.5=x, D matches
Intern  B
Joined: 11 Jun 2014
Posts: 23

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1

Fruits in good condition for sell=100-17=83
Total selling price=cost+profit=117.5+90=207.5
Unit selling price=207.5/83=2.5
Intern  B
Joined: 13 Jul 2019
Posts: 26

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1
total cost of the remaining 83 units=117.5
If there is a profit of 90 then the total selling price=117.5+90=207.5
now the unit selling price=207.5/83=2.5
So correct option is D
Intern  B
Joined: 10 Aug 2017
Posts: 29
Re: A pack of fruits has 100 units and its total cost is $117.5. If 17% of [#permalink] ### Show Tags 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 (ANSWER) E.$2.6

Posted from my mobile device
Intern  S
Joined: 24 Mar 2018
Posts: 48
Location: India
Concentration: Operations, Strategy
Schools: ISB '21
WE: Project Management (Energy and Utilities)
Re: A pack of fruits has 100 units and its total cost is $117.5. If 17% of [#permalink] ### Show Tags 1 Total no. of fruits in a pack = 100 17% of them are rotten. So, no. of good (sellable) fruits = 100-(17%x100) = 83 CP of 83 fruits (sellable) = 117.5 Profit for the 83 fruits $$\geq{90}$$ SP of the 83 fruits $$\geq{207.5}$$ (SP=CP+Profit=117.5+90) Minimum SP of the 83 fruits so that profit of$90 can be made = 207.5

Hence, minimum SP of each fruit = 207.5/83 = 2.5

Option (D)
Manager  G
Joined: 25 Jul 2018
Posts: 207

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IMO D

We have 100 units of a fruit in which 17 are rotten. Therefore, good fruits are $$100 - 17 = 83$$
We are asked to find the price P of each good fruit to get a profit of $90. $$83 * P = 117.5 + 90$$ $$P = \frac{207.5}{83}$$ $$P = 2.5$$ Director  P Joined: 20 Jul 2017 Posts: 661 Location: India Concentration: Entrepreneurship, Marketing WE: Education (Education) Re: A pack of fruits has 100 units and its total cost is$117.5. If 17% of  [#permalink]

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1
17% are rotten
--> Only 83 fruits can be sold

Let the selling price of each fruit = x
--> SP of 83 fruits = 83x

Total profit = 90
--> 83x - 117.5 = 90
--> 83x = 207.5
--> x = 2.5 $IMO Option D Pls Hit Kudos if you like the solution Manager  S Joined: 07 Dec 2018 Posts: 112 Location: India Concentration: Technology, Finance GMAT 1: 670 Q49 V32 Re: A pack of fruits has 100 units and its total cost is$117.5. If 17% of  [#permalink]

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someneha wrote:
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?

17% of fruits in a pack are rotten.
So, sellable fruits : 83/100

To make $90 profit : Total SP = 117.5 + 90 = 207.5 Least unit selling price = 207.5/83 = 2.37 So, Ans should be (C) I CAN'T BELIEVE I TRIED TO DO MENTAL CALCULATION HERE AND GOT THIS WRONG!! ABSOLUTELY HORRIBLE MISTAKE!!  Re: A pack of fruits has 100 units and its total cost is$117.5. If 17% of   [#permalink] 17 Jul 2019, 09:04

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