17. Two numbers are respectively 20...
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17. Two numbers are respectively 20% and 50% of a third number. What per cent is the first number of the second? (1) 10 (2) 20 (3) 30 (4) 40

11th - 12th Class
Maths
Solution
87
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17. (4) Let third number ( =z ) ( therefore ) First number ( =x=20 % ) of ( z ) [ =frac{20 times z}{100}=frac{z}{5} ] and second number ( =y=50 % ) of ( z ) [ =frac{50 times z}{100}=frac{z}{2} ] Hence, required percent ( =frac{z / 5}{z / 2} times 100 % ) [ =frac{2 times 100}{5} %=40 % ]
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