an orange vendor makes a profit of 10% by selling oranges at a certain price. if he charges rs. 1.4 higher per orange he would gain 30%. find the original price at which he sold an orange.
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An orange vendor makes a profit of 20 % by selling oranges at a certain price. If he charges Rs 1.2 higher per orange, he would gain 40 %. Find the original price at which he sold an orange.
An orange vendor makes a profit of 20 % by selling oranges at a certain price. If he charges Rs 1.2 higher per orange, he would gain 40 %. Find the original price at which he sold an orange.
Question
An orange vendor makes a profit of 20% by selling oranges at a certain price. If he charges Rs 1.2 higher per orange, he would gain 40%. Find the original price at which he sold an orange.
A Rs 5 B Rs 4.8 C Rs 6 D None of these Open in App Solution
The correct option is D None of these
By charging Rs 1.2 more, his profit should double to 40%. This means that his profit of 40% should be equal to Rs 2.4. Thus, his cost price must be Rs 6 and his original selling price should be 7.2. Hence, option (d) is correct.
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BunuelMath Expert
Joined: 02 Sep 2009
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An orange vendor makes a profit of 20% by selling orange at a certain [#permalink]
10 Jul 2019, 01:04 4 Bookmarks Expert Reply 00:00 A B C D E
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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 Show Answer _________________
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abhishekdadarwal2009Director
Joined: 04 Sep 2015
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Re: An orange vendor makes a profit of 20% by selling orange at a certain [#permalink]
10 Jul 2019, 01:28 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.
L
KinshookGMAT Club Legend
Joined: 03 Jun 2019
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GMAT 1: 690 Q50 V34
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Re: An orange vendor makes a profit of 20% by selling orange at a certain [#permalink]
10 Jul 2019, 01:30 1 Kudos Bunuel wrote:
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
Let cost price be c and selling price be s
s=1.2c s+1.2 = 1.4c 1.2c + 1.2 = 1.4c c c+1 = 6 7 cc+1=67 c=6 s=7.2 IMO E _________________ Kinshook Chaturvedi
Email: kinshook.chaturvedi@gmail.com
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prabsahiSenior Manager
Joined: 09 Jun 2014
Posts: 255 Location: India
Concentration: General Management, Operations
Re: An orange vendor makes a profit of 20% by selling orange at a certain [#permalink]
10 Jul 2019, 07:06 3 Kudos
Normally the shopkeeper makes a profit of 20%.However if he charges 1.2 higher it results in profit of 40%
This implies $1.2 contributes 20% of profit.
Now its easy.Lets assume cost price is x.
So 20% of x = 1.2 0.20x = 1.2 x= 6
Now target question is to find the original price at which he sold an orange.
SP=CP+Profit = 6+1.2 = 7.2
Hope it helps!! B
kivcoolIntern
Joined: 17 Jan 2019
Posts: 5 Location: India
Re: An orange vendor makes a profit of 20% by selling orange at a certain [#permalink]
10 Jul 2019, 07:40 1 Kudos
Let the selling price(SP) with 20% profit be 1.2x, where x is Cost Price.
SP with 40% profit = 1.4x
Now, 1.4x - 1.2x = 1.2 .2x = 1.2 x= 6
SP with 20% profit = 1.2*6 = 7.2
D
QuantMadeEasySenior Manager
Joined: 27 Feb 2014
Posts: 478 Location: India
Concentration: General Management, International Business
GMAT 1: 570 Q49 V20 GPA: 3.97
WE:Engineering (Education)
Re: An orange vendor makes a profit of 20% by selling orange at a certain [#permalink]
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Q.7. An orange vendor makes a profit of 10% by selling oranges at a certain price. If he charges Rs. 1.4 higher per orange he would gain 30%. Find the original price at which he sold an orange.A. Rs. 6 B. Rs. 5.80 C. Rs. 6.25 D. Rs. 6.70 E. Rs 7.70
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