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A seller sells his rice at cost price but uses a faulty weighing machine. The weighing machine reads a% less than that

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A seller sells his rice at cost price but uses a faulty weighing machine. The weighing machine reads a% less than that

by BTGmoderatorDC » Mon Feb 03, 2020 8:09 pm
A seller sells his rice at cost price but uses a faulty weighing machine. The weighing machine reads a% less than that actual weight of the rice that is being sold. Find the profit/loss percentage on selling 1010 kg of the rice.

1) If the seller gives a discount of 10%, then he will incur a loss of 55%

2) The cost price per kg is 5 dollars.



OA A

Source: e-GMAT
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Source: — Data Sufficiency |
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Re: A seller sells his rice at cost price but uses a faulty weighing machine. The weighing machine reads a% less than th

by deloitte247 » Sun Feb 09, 2020 8:48 am
Weighing machine reads 9% less than the actual weight of rice being sold.
Statement 1 => if the seller gives a discount of 10% then he will incur a loss of 55%
Total loss = loss from discount + loss from machine
100% = 55% + loss from weighing machine
Loss from weighing machine = 45%
Due to the faulty weighing machine, the seller is selling the rice at 45% of its cost price
Therefore, loss % = 45%. Statement 1 is SUFFICIENT

Statement 2 => The cost price per kg is 5 dollars
A 1010kg rice measured on the machine will be 9% more than the actual weight because the machine reads 9% less than the actual weight
Since the value of 9% is unknown, the percentage of the weighing machine is unknown and the percentage profit cannot be estimated.
Statement 2 is NOT SUFFICIENT

Since statement 1 alone is SUFFICIENT, answer = option A
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