Latest Elitmus Aptitude Question SOLUTION: Had Dhaniram bought an item at 10% less and sold it at 10% more, he would have doubled his profit percentage. If x was the original profit percentage, which of the following ranges

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(#M40164673) ELITMUS Numerical Ability question Keep an EYE

Had Dhaniram bought an item at 10% less and sold it at 10% more, he would have doubled his profit percentage. If x was the original profit percentage, which of the following ranges does x fall ?
A. 29%-23%
B. 22%-17%
C. 16%-10%
D. Data insufficient

Asked In Elitmus Saptarshi Dey (6 years ago)

Solved Varun Read Solution (5)

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Varun  (6 years ago) Best Solution

Let us calculate for an item that is of Rs.100/-
Given ,Cost price = 90, Selling price = 110/-
Profit % = (SP-CP)/CP *100 = (110-90)/90*100 = 22.22
Therefore, original profit percentage = Half of 22.22 = 11.11
So correct option is C.16%-10%

Is this solution Helpfull? Yes (31) | No (11)  

Gaurishankar Kumar jaiswal  (6 years ago)

Let sp of item for dhaniram=100
Less percentage=10
Cp of dhaniram=90
Dhaniram sells item 10 percent more of sp of item for dhaniram
Dhaniram sp=100+10=110
Profit of dhaniram=110-90=20
Profit percentage=20/90 *100=22.22=double of original profit(x) percentage
Original profit percentage x=22.22/10=11.11
Ans=c

Is this solution Helpfull? Yes (2) | No   

pooja  (4 years ago)

correct ans is A.
first time c.p =x and s.p=y
sec time c.p=9x/10 and s.p=11y/10

2(y-x)/x=(11y/10-9x/10)/9x/10
solving this
y=9x/7

here we get 28.5%

how could you take 10% of 100 for selling price. when your cp =90.

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Sunil Choudhary  (6 years ago)

Let us calculate for an item that is of Rs.100/-
Given ,Cost price = 90, Selling price = 110/-
Profit % = (SP-CP)/CP *100 = (110-90)/90*100 = 22.22
Therefore, original profit percentage = Half of 22.22 = 11.11
So correct option is C.16%-10%

Is this solution Helpfull? Yes | No   

Navami  (3 years ago)

cp=90 sp=110
p=20
p%=(20*100)/90 =22.22
since its double the profit,divide by 2
x=22.22/2 =11.11
answer C

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