(solved)Question 5 SSC-CGL 2020 March 3 Shift 2

Question 5
SSC-CGL 2020 Mar 3 Shift 2

Two containers of equal capacity are filled with orange juice to the extent of 35% and 33-1/3%. After some time apple juice is added to both the containers so as to fill them completely. Both these containers are then emptied into another container. What is the percentage of apple juice in the new container?

Solution in Short

Let each container = 100 litres

Apple in first $\displaystyle= 100 - 35 = 65 L$

in second = $\displaystyle 100 - 33\frac 13$ = $\displaystyle 200/3 L$

Volume of new container = $\displaystyle 200 L$

Total Apple = $\displaystyle 65 + \frac{200}{3} = \frac{395}{3} L$

%-age = $\displaystyle \frac{ 395/3}{200} \times 100$

$\displaystyle = \frac{395}{6} = 65\frac56 \%\:\underline{Ans}$

NOTE: all volumes are in liters