A vendor bought a number of bananas at 3 for a dollar and sold them

Question

A vendor bought a number of bananas at 3 for a dollar and sold them at 2 for a dollar. What is his gain percent ?

A) 10%
B) 6%
C) 3%
D) 50%
E) 25%

generis · Answer

Cost: 3 bananas for $1.00
Cost: \frac{$1.00}{3}=.33=33  cents each
Sell Price: 2 bananas for $1.00
SP:  \frac{$1.00}{2}=.50=50  cents each

Percent gain (profit)?
 \frac{SP-C}{C}*100= 
 (\frac{50-33}{33}*100)=(\frac{17}{33}*100)\approx 50  percent

Answer D

PKN · Answer

Cost price of 3 bananas=$1
So, cost price of 1 banana in dollar= \frac{1}{3}

Sells price of 2 bananas=$1
So, Sells price of 1 banana in dollar= \frac{1}{2}

Gain=Sells price-Cost price= \frac{1}{2} - \frac{1}{3} = \frac{1}{6} 
%Gain= \frac{\frac{1}{6}}{\frac{1}{3}} *100=50%

Ans. (D)

CounterSniper · Answer

let the no of bananas the vendor brought be x
price = 3 bananas for a dollar 
price of x bananas = x/3 dollars
cp=x/3 dollars

sp =selling price = x/2 dollars

profit % = (sp-cp)*100/cp= (x/2-x/3)*100/(x/3)
=(100x/6)/(x/3)=50%

JeffTargetTestPrep · Answer

The cost of each banana is 100/3 cents and the revenue of each bananas is 100/2 = 50 cents. Thus the profit is

(50 - 100/3)/(100/3) x 100

(150 - 100)/(100) x 100

50/100 x 100

50 percent of the cost.

Alternate Solution:

Let’s suppose the vendor bought 6 bananas. Since he buys them 3 for a dollar, he paid 6/3 = 2 dollars. Since he sells them 2 for a dollar, he earns 6/2 = 3 dollars. Thus, his profit percentage is   x 100 = 50 percent.

Answer: D

TheNightKing · Answer

One approach: 
Cost price = 33cents
Sell Price = 50 cents
Profit = 17/33 approx 50%

Second Approach:
He is clearly having profit of one full banana over every 2 he is selling. Which is 1/2 = 50%

A vendor bought a number of bananas at 3 for a dollar and sold them

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