To meet a government requirement, a bottler must test 5 percent of its spring water and 10 percent of its sparkling water for purity. If a customer ordered 120 cases of spring water and 80 cases of sparkling water, then what percent of all the cases must the bottler test before he can send it out ?
A. 6.5%
B. 7.0%
C. 7.5%
D. 8.0%
Answer: Option B
Solution(By Examveda Team)
Number of cases required to be tested :$$\eqalign{ & = 5\% \,\,{\text{of}}\,\,120 + 10\% \,\,{\text{of}}\,\,80 \cr & = \left( {\frac{5}{{100}} \times 120} \right) + \left( {\frac{{10}}{{100}} \times 80} \right) \cr & = 6 + 8 \cr & = 14 \cr} $$
∴ Required percentage :
$$\eqalign{ & = \left( {\frac{{14}}{{120 + 80}} \times 100} \right)\% \cr & = \left( {\frac{{14}}{{200}} \times 100} \right)\% \cr & = 7\% \cr} $$
Related Questions on Percentage
A. $$\frac{1}{4}$$
B. $$\frac{1}{3}$$
C. $$\frac{1}{2}$$
D. $$\frac{2}{3}$$
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