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Three-fifth of a number is equal to 70% of another number. What is the ratio between the first number and second number ?

14 : 7
23 : 4
37 : 8
47 : 6

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Let the two numbers be X and Y . \\ According to question, \\ X \times (\frac{3}{5}) = 70 % o f Y \\ \frac{3 X}{5} = \frac{70 Y}{100} \\ \frac{X}{Y} = \frac{(70 \times 5)}{(100 \times 3)} = \frac{7}{6} \\ X : Y = 7 : 6 \end{aligned}

$\eqalign{ & {\text{Let}}\,{\text{the}}\,{\text{two}}\,{\text{numbers}}\,{\text{be}}\,X\,{\text{and}}\,Y. \cr & {\text{According}}\,{\text{to}}\,{\text{question}}, \cr & X \times \left( {\frac{3}{5}} \right) = 70\% \,of\,Y \cr & \frac{{3X}}{5} = \frac{{70Y}}{{100}} \cr & \frac{X}{Y} = \frac{{\left( {70 \times 5} \right)}}{{\left( {100 \times 3} \right)}} = \frac{7}{6} \cr & X:Y = 7:6 \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} Let the two numbers be X and Y . \\ According to question, \\ X \times (\frac{3}{5}) = 70 % o f Y \\ \frac{3 X}{5} = \frac{70 Y}{100} \\ \frac{X}{Y} = \frac{(70 \times 5)}{(100 \times 3)} = \frac{7}{6} \\ X : Y = 7 : 6 \end{aligned}

$\eqalign{ & {\text{Let}}\,{\text{the}}\,{\text{two}}\,{\text{numbers}}\,{\text{be}}\,X\,{\text{and}}\,Y. \cr & {\text{According}}\,{\text{to}}\,{\text{question}}, \cr & X \times \left( {\frac{3}{5}} \right) = 70\% \,of\,Y \cr & \frac{{3X}}{5} = \frac{{70Y}}{{100}} \cr & \frac{X}{Y} = \frac{{\left( {70 \times 5} \right)}}{{\left( {100 \times 3} \right)}} = \frac{7}{6} \cr & X:Y = 7:6 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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