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16 Jul 2019, 08:00
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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?

A. $2.2 B.$2.3
C. $2.4 D.$2.5

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16 Jul 2019, 08:07
2
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

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16 Jul 2019, 08:05
3
Let SP of single fruit be x
83x-117.5=90

x=2.5

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Re: A pack of fruits has 100 units and its total cost is $117.5. If 17% of [#permalink] ### Show Tags 16 Jul 2019, 08:09 1 IMO Answer is D: cost price of 100 units = 117.5$
17 are rotten so, 83 are good to sell
given profit is 90$So, SP-CP = 90 selling price = 83*x$
83x-117.5 = 207.5 ==> x =2.5$so answer is D ISB School Moderator Joined: 08 Dec 2013 Posts: 585 Location: India Concentration: Nonprofit, Sustainability Schools: ISB '21 GMAT 1: 630 Q47 V30 WE: Operations (Non-Profit and Government) Re: A pack of fruits has 100 units and its total cost is$117.5. If 17% of  [#permalink]

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16 Jul 2019, 08:11
1
Let the minimum selling price per piece be x,

Then
83*x - 117.5 = 90
x = 2.5
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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 1 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

Cost price of 100 units =$117.5 17% (17 units) are rotten Saleable units = 100 - 17 = 83 Sales for 83 units =$117.5 + $90 =$207.5
Sales price / unit = $207.5/83 =$2.5

IMO D
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Re: A pack of fruits has 100 units and its total cost is $117.5. If 17% of [#permalink] ### Show Tags 16 Jul 2019, 08:15 1 I went with D: The total unit cost was$117.5
You need a profit of $90 So revenues need to be at least$207.5
(cost + profit) = Rev. or $117.5 +$90 = $207.5 Since 17% is rotten, you have to earn the revenues through the remaining inventory. So 207.5/83 = 2.5 per unit Manager Joined: 10 Mar 2016 Posts: 150 Location: India Concentration: Finance, Real Estate GMAT 1: 550 Q44 V23 WE: Corporate Finance (Commercial Banking) Re: A pack of fruits has 100 units and its total cost is$117.5. If 17% of  [#permalink]

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16 Jul 2019, 08:18
1
SP-CP = 90

CP of fruits = 117.5
SP = 90 + 117.5
SP = 207.5
Since 17% was rotten

SP per unit = 207.5/83 = 25$Answer should be D _________________ Please Hit Kudos if you like my post useful. Senior Manager Joined: 16 Jan 2019 Posts: 450 Location: India Concentration: General Management WE: Sales (Other) Re: A pack of fruits has 100 units and its total cost is$117.5. If 17% of  [#permalink]

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16 Jul 2019, 08:23
1
100 fruits were bought at $1.175 per fruit ------------------- (Cost Price) (100-17) fruits are to be sold at$x per fruit, where is x is the average selling price per unit ----------------- (Selling Price)

We require that,
(100-17)x = 100(1.175) + 90

83x = 207.5

x=2.5

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Re: A pack of fruits has 100 units and its total cost is $117.5. If 17% of [#permalink] ### Show Tags 16 Jul 2019, 08:25 1 100 units for 117.5$

17% of 100 fruits are rotten. So 83 fruits are not rotten.

For total profit of 90$, sale price should be 117.5+90=207.5 SP of per unit=$$\frac{207.5}{83}$$=$2.5

Hence option D
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Re: A pack of fruits has 100 units and its total cost is $117.5. If 17% of [#permalink] ### Show Tags 16 Jul 2019, 08:25 1 IMO D 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

SOL:

the total number of fruits=100,
rotten=17
so left=83.

now the CP of 100 fruits=117.5 and we need 90 profit.
so we must sell 83 fruits for 207.5

that means each fruit has to be at least=207.5/83=2.5

D 2.5 atleast.
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Re: A pack of fruits has 100 units and its total cost is $117.5. If 17% of [#permalink] ### Show Tags 16 Jul 2019, 08:27 1 The total fruits we have is 83 and profit is$90, so the total selling cost would be 117.5+90=207.5.

So unit selling price = 207.5/83=2.5

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Re: A pack of fruits has 100 units and its total cost is $117.5. If 17% of [#permalink] ### Show Tags 16 Jul 2019, 08:27 1 D The packet has total 100 units of fruits and 17% or 17 units are rotten. That means that only 83 fruits have any worth. Now, the cost of the packet is$117.5, however, we need $90 profit margin. So, the packet should be selling for$117.5+$90 =$207.5

The packet has 83 units, so each unit should sell for 207.5/83 = $2.5/unit Manager Joined: 08 Jan 2018 Posts: 145 Location: India Concentration: Operations, General Management WE: Project Management (Manufacturing) Re: A pack of fruits has 100 units and its total cost is$117.5. If 17% of  [#permalink]

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16 Jul 2019, 08:28
1
IMO- D

Total Units = 100 units
Total cost = $117.5 Fruits rotten/park= 17% = 0.17 X 100= 17 Units Fruits Ok = 100-17= 83 units Total profit =$90

Total SP for 83 Units= $117.5 +$90 = $207.5 Least SP/Unit=$207.5/83 = $2.5 For any SP/unit greater than$2.5 profit will be greater than $90 Ans- D Director Joined: 22 Nov 2018 Posts: 555 Location: India GMAT 1: 640 Q45 V35 GMAT 2: 660 Q48 V33 Re: A pack of fruits has 100 units and its total cost is$117.5. If 17% of  [#permalink]

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16 Jul 2019, 08:28
1
Cost - 117.5 $and Profit required - 90$. Total sales value - 207.5 and units available - 83. So per unit cost - 207.5/83 (sub answer options in 83*X=207.5)

2.4$per fruit gives 199.2$. So unit price must be higher. 2.5$gives 207.5 IMO D _________________ Give +1 kudos if this answer helps..!! Manager Joined: 26 Jan 2016 Posts: 179 Re: A pack of fruits has 100 units and its total cost is$117.5. If 17% of  [#permalink]

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16 Jul 2019, 08:29
1
Selling Price = Total cost + Profit
Total cost=117.5
Profit=90(Minimum)

SP=117.5+90=207.5

Now, as 17% units are rotten, we need to get profit from 83% which is 83 units.

So SP of each unit = 207.5/83=2.5
Hence D
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16 Jul 2019, 08:29
1
Let the selling price per unit be $$x$$.

Profit = Total Selling Price (excluding roten units) - Total Cost of the units
$$90 = 83x-117.5$$

Which gives,
$$x=2.5$$
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16 Jul 2019, 08:31
1
Simple and straight :
C.P : 117.5
S.P : 117.5 +90 = 207.5
Unit price: 207.5/100 = 2.075
now 17% of fruits are bad, so left fruits: 83 ,
Now to earn 90$profit, S.P cannot be changed but unit price will increase So 207.5 / 83 = 2.50 Re: A pack of fruits has 100 units and its total cost is$117.5. If 17% of   [#permalink] 16 Jul 2019, 08:31

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