Latest Elitmus Aptitude Question SOLUTION: a shopkeeper sold his goods at half the list price and thus lost 20%.if he had sold on the listed price,his gain percentage would be how much?

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(#M40164405) ELITMUS Numerical Ability question Keep an EYE

a shopkeeper sold his goods at half the list price and thus lost 20%.if he had sold on the listed price,his gain percentage would be how much?

Asked In Elitmus Sniper (7 years ago)

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  (7 years ago)

60%

Let the list price be x, then
When selling at x/2, there is a loss of 20%, so CP=(x/2)*(100/80)=5x/8
Hence % gain when SP is x = 100*(x - 5x/8)/(5x/8) = 60

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AYUSHI JAIN  (7 years ago)

ans: 60%

Let the list price be 100, then the shopkeeper sold his goods for half of the list price i.e 50.
He undergoes 20% loss.
Cost price of the goods is = (100/(100-20))*50 = 125/2
now,
if he sells his goods at listed price then the profit percent is given by,

profit%= ((100-125/2)/(125/2)) *100 = 60

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Varun  (6 years ago)

Answer : 60%

Let list price = Rs.100/-
i) Sold at Rs.50/-
Loss = 20%
if x was the price at which the goods was brought then,
x = 50 + 20% of x
x = 50 + (1/5) x
Solving for x, we get x = Rs.62.5/-

ii) Now CP = Rs.62.5/-
SP = Rs.100/-
Therefore, Gain percentage = 100 * (SP - CP) / CP
= 100 * (100-62.5) / 62.5 = 60%

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