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# Average cost of 5 apples and 4 mangoes is Rs. 36. The average cost of

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Math Expert
Joined: 02 Sep 2009
Posts: 58426
Average cost of 5 apples and 4 mangoes is Rs. 36. The average cost of  [#permalink]

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21 Feb 2019, 00:36
00:00

Difficulty:

55% (hard)

Question Stats:

50% (02:06) correct 50% (03:00) wrong based on 14 sessions

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Average cost of 5 apples and 4 mangoes is Rs. 36. The average cost of 7 apples and 8 mangoes is Rs. 48. Find the total cost of 24 apples and 24 mangoes.

A. 1044
B. 2088
C. 3022
D. 4444
E. 4488

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Joined: 31 Oct 2013
Posts: 1465
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Average cost of 5 apples and 4 mangoes is Rs. 36. The average cost of  [#permalink]

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21 Feb 2019, 01:41
1
Bunuel wrote:
Average cost of 5 apples and 4 mangoes is Rs. 36. The average cost of 7 apples and 8 mangoes is Rs. 48. Find the total cost of 24 apples and 24 mangoes.

A. 1044
B. 2088
C. 3022
D. 4444
E. 4488

Total cost of 5 app and 4 mangoes = 36 * 9 = 324.

Total cost of 7 app and 8 mangoes = 15 * 48 = 720.

5 app + 4 mangoes = 324
7 app + 8 mangoes = 720.
....................................................

12 app + 12 mangoes = 1044..............................adding both equation .

2(12 app + 12 mangoes) = 1044 * 2....................Multiplying by 2.

24 app + 24 mangoes = 2088.

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Joined: 13 Oct 2018
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Re: Average cost of 5 apples and 4 mangoes is Rs. 36. The average cost of  [#permalink]

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21 Feb 2019, 02:37
one apple cost = x
one mango cost = y

from 1st.

5x+4y = 36*9
7x+8y = 48*15

by solving these we get the cost of each apple and mangos and we can calculate the teh required average .

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Re: Average cost of 5 apples and 4 mangoes is Rs. 36. The average cost of  [#permalink]

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21 Feb 2019, 09:44
Bunuel wrote:
Average cost of 5 apples and 4 mangoes is Rs. 36. The average cost of 7 apples and 8 mangoes is Rs. 48. Find the total cost of 24 apples and 24 mangoes.

A. 1044
B. 2088
C. 3022
D. 4444
E. 4488

5a+4m=36; 36*9 = 324
7a+8m= 48 ; 48*15 = 720
so
12a+12m = 1024
or say
24a+24m = 2 *1024
2088
IMO B
Re: Average cost of 5 apples and 4 mangoes is Rs. 36. The average cost of   [#permalink] 21 Feb 2019, 09:44
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