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Difficulty:
45%
(medium)
Question Stats:
71% (02:31) correct
29%
(02:36)
wrong
based on 211
sessions
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The price of a commodity increases by 25% in January. There is a subsequent 25% increase in its price in February. If a person used to get 1 unit of the commodity for $x in December, how many units of the commodity will he get for $2x in February?
A. 0.64
B. 0.36
C. 1.64
D. 1.28
E. 1.72
A. 0.64
B. 0.36
C. 1.64
D. 1.28
E. 1.72
22 Jan 2022, 03:59
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If a=b*c, and b increases by x/y, then c has to decrease by x/x+y to keep a at the same level.
Here b is price and c is quantity.
b is increasing by 25%, which is 1/4 in terms of x/y.
so c will decrease by 1/5 which is nothing but 1/1+4
Hence, 2 consecutive price increase of 1/4 in price, will result in units also getting decreased by 1/5 two times.
therefore, the units that can be purchased in x = (1-1/5)*(1-1/5) = (4/5)*(4/5) = 16/25 = 0.64
Therefore units that can be bought in 2x amount is 2*0.64 = 1.28
Answer: D
Here b is price and c is quantity.
b is increasing by 25%, which is 1/4 in terms of x/y.
so c will decrease by 1/5 which is nothing but 1/1+4
Hence, 2 consecutive price increase of 1/4 in price, will result in units also getting decreased by 1/5 two times.
therefore, the units that can be purchased in x = (1-1/5)*(1-1/5) = (4/5)*(4/5) = 16/25 = 0.64
Therefore units that can be bought in 2x amount is 2*0.64 = 1.28
Answer: D
