Jim picked a number of pears, each of which he sold, canned, or poache

Question

Jim picked a number of pears, each of which he sold, canned, or poached. If he canned 40 percent more than he poached, and he poached 60 percent less than he sold, approximately what percent of the pears did he sell?

A. 30%
B. 33%
C. 42%
D. 49%
E. 51%

Kudos for a correct solution.

A. 30%
B. 33%
C. 42%
D. 49%
E. 51%

Kudos for a correct  solution .

Pjp · Answer

Let the number of sold pears be 100.
Then,the no of poached pears will be -40
and no of canned pears will be -140/100 * 40= 56
so total pears = 100+ 40+ 56 = 196
Sold%= 100/196 * 100 =51 approx

ENGRTOMBA2018 · Answer

Let S,C and P represent the amount sold, canned or poached.

Given, C=1.4P and P=0.4S---> C=0.56 S

Thus % of sold pears = S / (S+C+P) = 1/1.96 = 51%, thus E is the correct answer,

AmoyV · Answer

Sold : Poched : Canned
100 : 40 : 56

100/196*100
If 196 is taken as 200, then 100/196*100>50% (100/200*100=50%)
Approx 51%

Answer: E

Bunuel · Answer

800score Official Solution:

Let p = the number of pears Jim poached. Since he canned 40% more than he poached, p + 0.4p = 1.4p is the number of pears that Jim canned. Furthermore, because he poached 60% less than what he sold, (1 – 0.6) × (number he sold) = p, or number he sold = p/0.4 = p/(4/10) = p × (10/4) = 2.5p. Adding up these values, we can figure out that Jim picked p + 1.4p + 2.5p = 4.9p pears in all. The percent of pears that he sold = (the number of pears sold)/(total number of pears) = 2.5p/4.9p = 2.5/4.9 = approximately 51%.

Abhishek009 · Answer

Let no of item sold be 100

No of items poached is 40

No of items caned is 56

Total No of items is 196 ( 100 + 40 + 56 )

Approx % sold =  \frac{100}{196} *100    ~ 51%  
  
Hence answer must be (E)

ScottTargetTestPrep · Answer

We can let S = the number of pears he sold, C = the number of pears he canned, and P = the number of pears he poached and create the equations:

C = 1.4P

and

P = 0.4S

P/0.4 = S

10P/4 = S

5P/2 = 2.5P = S

The percent of pears he sold is:

(2.5P)/(1.4P + P + 2.5P)

2.5P/4.9P = 25/49, which is slightly more than 50%.

Answer: E

manjot123 · Answer

did using ratio 
can:packed:sold = 14:10:25 
25k/49k
10% = 4.9 rounding to 5
50% = 50 so answer will be more then 50%

bumpbot · Answer

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Jim picked a number of pears, each of which he sold, canned, or poache

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Jim picked a number of pears, each of which he sold, canned, or poache

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