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# A person buys some apples and mangoes from the market. The cost price

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Manager
Joined: 07 Mar 2019
Posts: 58
Location: India
A person buys some apples and mangoes from the market. The cost price  [#permalink]

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13 Jun 2019, 01:55
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5
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Difficulty:

55% (hard)

Question Stats:

65% (03:39) correct 35% (03:58) wrong based on 52 sessions

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A person buys some apples and mangoes from the market. The cost price of a mango is twice that of an apple and the selling price of a mango is thrice that of an apple. The selling price of an apple is twice its cost price and he makes a profit of 150 % on the whole transaction. What is the ratio of the number of mangoes to the number of apples ?

A) 3:5
B) 3:4
C) 1:2
D) 2:3
E) 2:5
Director
Joined: 19 Oct 2018
Posts: 970
Location: India
Re: A person buys some apples and mangoes from the market. The cost price  [#permalink]

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13 Jun 2019, 02:18
1
CP of apple= x and CP of mango= 2x
SP of apple=2x and SP of mango= 6x

Profit on apple= 2x-x=x
Profit on mango= 6x-2x=4x

Let total number of apples=a
and total number of mangoes= m

$$\frac{a*x + m*4x}{a*x+ m*2x}=\frac{3}{2}$$
a=2m
$$\frac{m}{a}=\frac{1}{2}$$

TarunTilokani wrote:
A person buys some apples and mangoes from the market. The cost price of a mango is twice that of an apple and the selling price of a mango is thrice that of an apple. The selling price of an apple is twice its cost price and he makes a profit of 150 % on the whole transaction. What is the ratio of the number of mangoes to the number of apples ?

A) 3:5
B) 3:4
C) 1:2
D) 2:3
E) 2:5
Senior Manager
Joined: 12 Sep 2017
Posts: 302
Re: A person buys some apples and mangoes from the market. The cost price  [#permalink]

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16 Jun 2019, 17:55
nick1816 wrote:
CP of apple= x and CP of mango= 2x
SP of apple=2x and SP of mango= 6x

Profit on apple= 2x-x=x
Profit on mango= 6x-2x=4x

Let total number of apples=a
and total number of mangoes= m

$$\frac{a*x + m*4x}{a*x+ m*2x}=\frac{3}{2}$$
a=2m
$$\frac{m}{a}=\frac{1}{2}$$

TarunTilokani wrote:
A person buys some apples and mangoes from the market. The cost price of a mango is twice that of an apple and the selling price of a mango is thrice that of an apple. The selling price of an apple is twice its cost price and he makes a profit of 150 % on the whole transaction. What is the ratio of the number of mangoes to the number of apples ?

A) 3:5
B) 3:4
C) 1:2
D) 2:3
E) 2:5

Hello nick1816!!

Could you please explain to me the red part? I dont understand where the 3/2 came from.

Kind regards!
Director
Joined: 19 Oct 2018
Posts: 970
Location: India
Re: A person buys some apples and mangoes from the market. The cost price  [#permalink]

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17 Jun 2019, 03:51
1
It's given in the question that person is making 150% profit.
Total Profit/cost price= 150/100=3/2

jfranciscocuencag wrote:
nick1816 wrote:
CP of apple= x and CP of mango= 2x
SP of apple=2x and SP of mango= 6x

Profit on apple= 2x-x=x
Profit on mango= 6x-2x=4x

Let total number of apples=a
and total number of mangoes= m

$$\frac{a*x + m*4x}{a*x+ m*2x}=\frac{3}{2}$$
a=2m
$$\frac{m}{a}=\frac{1}{2}$$

TarunTilokani wrote:
A person buys some apples and mangoes from the market. The cost price of a mango is twice that of an apple and the selling price of a mango is thrice that of an apple. The selling price of an apple is twice its cost price and he makes a profit of 150 % on the whole transaction. What is the ratio of the number of mangoes to the number of apples ?

A) 3:5
B) 3:4
C) 1:2
D) 2:3
E) 2:5

Hello nick1816!!

Could you please explain to me the red part? I dont understand where the 3/2 came from.

Kind regards!
Manager
Joined: 07 May 2018
Posts: 61
Re: A person buys some apples and mangoes from the market. The cost price  [#permalink]

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20 Jun 2019, 13:11
nick1816 wrote:
CP of apple= x and CP of mango= 2x
SP of apple=2x and SP of mango= 6x

Profit on apple= 2x-x=x
Profit on mango= 6x-2x=4x

Let total number of apples=a
and total number of mangoes= m

$$\frac{a*x + m*4x}{a*x+ m*2x}=\frac{3}{2}$$
a=2m
$$\frac{m}{a}=\frac{1}{2}$$

TarunTilokani wrote:
A person buys some apples and mangoes from the market. The cost price of a mango is twice that of an apple and the selling price of a mango is thrice that of an apple. The selling price of an apple is twice its cost price and he makes a profit of 150 % on the whole transaction. What is the ratio of the number of mangoes to the number of apples ?

A) 3:5
B) 3:4
C) 1:2
D) 2:3
E) 2:5

Hi Nick,
Could you explain how you got to m/a = 1/2?
Re: A person buys some apples and mangoes from the market. The cost price   [#permalink] 20 Jun 2019, 13:11
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