Question 1

A ship is full of cargo containers. It drops 2/3 of cargo containers at the first port and takes 60 more, at the second port it drops two third of the new total and takes eleven more. On arriving at the third port it is found that it have 48 cargo containers. Find the number of cargo containers in the ship at the starting?

Solution

Let number of cargo containers in the starting = $$3x$$

It drops 2/3 of cargo containers at the first port and takes 60 more.

=> Number of cargo containers when the ship left first port = $$3x-(\frac{2}{3}\times3x)+60=(x+60)$$

Similarly, number of cargo containers after leaving second port = on arriving at third port,

=> $$\frac{x+60}{3}+11=48$$

=> $$\frac{x+60}{3}=48-11=37$$

=> $$x+60=37\times3=111$$

=> $$x=111-60=51$$

$$\therefore$$ Number of cargo containers in the ship at the starting = $$3\times51=153$$

=> Ans - (D)


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