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10 Jul 2019, 02:04
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E
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Difficulty:
65%
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Question Stats:
55% (02:06) correct
45%
(01:59)
wrong
based on 150
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An orange vendor makes a profit of 20% by selling orange at a certain price. If he charges $1.2 higher per orange he would gain 40%. Find the original price at which he sold an orange.
(A) 4
(B) 4.8
(C) 5
(D) 6
(E) 7.2
(A) 4
(B) 4.8
(C) 5
(D) 6
(E) 7.2
10 Jul 2019, 02:28
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IMO : E
An orange vendor makes a profit of 20% by selling orange at a certain price. If he charges $1.2 higher per orange he would gain 40%. Find the original price at which he sold an orange.
(A) 4
(B) 4.8
(C) 5
(D) 6
(E) 7.2
Sol:
120/100*+1.2=140/100
(12/10)X +12/10=(14/10)x
12X+12=14X
2x=12
x=6, that means the price before profit is 6 and when we add 20% then we see that option A,B,C and D are all lower than (120/100)6,
only option left =7.2. .
to verify
7.2+1.2=8.4 and (8.4/6)*100=140/100= 40% profit.
An orange vendor makes a profit of 20% by selling orange at a certain price. If he charges $1.2 higher per orange he would gain 40%. Find the original price at which he sold an orange.
(A) 4
(B) 4.8
(C) 5
(D) 6
(E) 7.2
Sol:
120/100*+1.2=140/100
(12/10)X +12/10=(14/10)x
12X+12=14X
2x=12
x=6, that means the price before profit is 6 and when we add 20% then we see that option A,B,C and D are all lower than (120/100)6,
only option left =7.2. .
to verify
7.2+1.2=8.4 and (8.4/6)*100=140/100= 40% profit.
10 Jul 2019, 02:30
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Bunuel
An orange vendor makes a profit of 20% by selling orange at a certain price. If he charges $1.2 higher per orange he would gain 40%. Find the original price at which he sold an orange.
(A) 4
(B) 4.8
(C) 5
(D) 6
(E) 7.2
(A) 4
(B) 4.8
(C) 5
(D) 6
(E) 7.2
Let cost price be c and selling price be s
s=1.2c
s+1.2 = 1.4c
1.2c + 1.2 = 1.4c
\(\frac{c}{c+1} = \frac{6}{7}\)
c=6
s=7.2
IMO E
