380 mangoes are distributed among some boys and girls who are 85 in numbers. Each boy gets four mangoes each girl gets five. The number of boys is ,(For SSC CHSL)

 380 mangoes are distributed among some boys and girls who are 85 in numbers. Each boy gets four mangoes and each girl gets five. The number of boys is ,


A-15                      B-38



C-40                         D-45








Answer:


Very easy trick no long process.


There are 380 mangoes,
Let us consider each boys and each girls gets 4 mangoes.

According to questions the total no. Of boys and girls are 85.


If each gets 4 mangoes then,

85 numbers of children gets mangoes,

=> 85 × 4 = 340 mangoes.


We have 380 mangoes.
So now 380 - 340 = 40  mangoes are extra.

According to questions each girls gets 5 mangoes but each boys 4.

Each girls got 4 mangoes now get 1 mangoes . 
We have 40 mangoes so then numbers of girls is 40.


And the numbers of boys = 85 - 40 = 45.



Alternate

Suppose all boys and girls get 5 mangoes each ,

Then 85 children get mangoes,

85 × 5 =425 mangoes.

We have 380 mangoes,

=> 425 - 380 = 45
 
Hence, we need 45 mangoes,

So number of boys 45


Correct-(D) 45


 Shortcut

85×5=425

=>425-380=45(Answer)


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