Question 74

Six - elevenths of a number is equal to twentytwo percent of the second number. The second number is equal to one-fourth of the third number. The value of the third number is 2400. What is 45% of the first number?

Solution

Let the 1st number be x, 2nd number be y
Third number 2400
$$\frac{6}{11}$$ of x = 22% of y 
y = $$\frac{1}{4}$$th of the third number 
2nd No. = y = 600
22% of 2nd No. =  $$\frac{22}{100}$$ x 600 = 132
$$\frac{6}{11}$$ of x = 132
                      x = 242
45% of 1st number = $$\frac{45}{100}$$ x 242 = 108.9


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