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There are three baskets of fruits. First...

There are three baskets of fruits. First basket has twice the number of fruits in the 2nd basket. Third basket has `3/4`th of the fruits in the first. The average of the fruits in all the baskets is 30. What is the number of fruits in the first basket ?

A

20

B

30

C

35

D

40

Text Solution

Verified by Experts

The correct Answer is:
D

Suppose the number of fruits in the second basket = x
Number of fruits in the first basket = 2x
Number of fruits in the third basket ` = 2x xx 3/4 = (3x)/(2)`
Now , ` 2x + x + (3x)/(2) = 30 xx 3`
` = (4x + 2x = 3x)/(2) = 30 xx 3`
` = 9 x = 30 xx 3 xx 2`
` therefore x = (30 xx 3 xx 2)/(9) = 20`
Number of fruits in the first basket ` = 2x = 2 xx 20 = 40`
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