Five-ninths of a number is equal to 25 per ce | vedclass

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(B) Let the first,second,and third numbers be $x$,$y$,and $z$ respectively.Given that $z = 2960$.The second number is one-fourth of the third number:

Vedclass · Accepted Answer

$99.9$

Vedclass · Answer

(B) Let the first,second,and third numbers be $x$,$y$,and $z$ respectively.Given that $z = 2960$.The second number is one-fourth of the third number: $y = \frac{1}{4} 	imes 2960 = 740$.According to the problem,five-ninths of the first number is equal to $25$ per cent of the second number:$\frac{5}{9} x = \frac{25}{100} 	imes y$$\frac{5}{9} x = \frac{1}{4} 	imes 740$$\frac{5}{9} x = 185$$x = 185 	imes \frac{9}{5} = 37 	imes 9 = 333$.Now,$30$ per cent of the first number is:$30\% 	ext{ of } 333 = \frac{30}{100} 	imes 333 = 0.3 	imes 333 = 99.9$.

Five-ninths of a number is equal to $25$ per cent of the second number. The second number is equal to one-fourth of the third number. The value of the third number is $2960$. What is $30$ per cent of the first number?

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