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Two numbers are respectively 20% and 50% of the third number. What percent is the first number of the second ?
Answer & Solution
Correct Answer:
Option
D
Let the 3rd number is 100
According to the question,
$$\eqalign{ & \,{1^{{\text{st}}}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{2^{{\text{nd}}}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{3^{{\text{rd}}}} \cr & 20\,\,\,\,\,\,\,:\,\,\,\,\,\,\,\,50\,\,\,\,\,\,\,\,:\,\,\,\,\,\,\,100 \cr} $$
Required % = $$\frac{20}{50}$$ × 100 = 40%
According to the question,
$$\eqalign{ & \,{1^{{\text{st}}}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{2^{{\text{nd}}}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{3^{{\text{rd}}}} \cr & 20\,\,\,\,\,\,\,:\,\,\,\,\,\,\,\,50\,\,\,\,\,\,\,\,:\,\,\,\,\,\,\,100 \cr} $$
Required % = $$\frac{20}{50}$$ × 100 = 40%
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