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Question :

A fruit seller has a total of 187 fruits consisting of apples, mangoes and oranges. The number of apples
and mangoes are in the ratio 5 : 2. After she sells 75 apples, 26 mangoes and half of the oranges, the ratio
of number of unsold apples to number of unsold oranges becomes 3 : 2. The total number of unsold fruits
is

Started 1 week ago by Admin in

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Answer : 66

Explanatory Answer

atio of number of apples and mangoes is 5:2
Let the Number of apples=5x
Number of mangoes =2x
Number of oranges =2y

7x+2y=187−−−−−−−−(1)

She sells 75 apples, 26 mangoes and half of the oranges.
Number of unsold apples= 5x−75
Number of unsold mangoes =2x−26
Number of unsold oranges =y
Ratio of unsold apples to unsold oranges=3:2

5x−75:y=3:210x−150=3y
10x−3y=150−−−−−−(2)

Multiplying equation(1) with 3 , we get 21x+6y=561
Multiplying equation(2) with 2 , we get 20x−6y=300
Adding the above two equations, 41x=861

x=861/41=21

Substituting x=21 in equation 1 ,

7(21)+2y=187
2y=40y=20

Total number of unsold fruits =5x−75+2x−26+y=105−75+42−26+20=66

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