Problem Solving

Source: GMAT Paper Tests

In a horticultural experiment, 200 seeds were planted in plot I and 300 were planted in plot II. If 57 percent of the seeds in plot I germinated and 42 percent of the seeds in plot II germinated, what percent of the total number of planted seeds germinated?

A. 45.5%
B. 46.5%
C. 48.0%
D. 49.5%
E. 51.0%

The OA is C

Total seeds in plot I = 200
Total seeds in plot II = 300
Generated seeds in plot I = 57% of 200 = 114
Generated seeds in plot II = 42% of 300 = 126
Total number of seeds in all the plot = plot I + plot II
= plot I seeds + plot II seeds
= 200 + 300 = 500
Generated seeds in total = 114 + 126 = 240
$$Total\ of\ \%\ seeds\ that\ germinated=\frac{240}{500}\cdot\frac{100}{1}=48\%$$

Answer = option C