Three-fifth of a number is equal to 70% of another number. What is the ratio bet

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Question

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

Options:

A . 4 : 7

B . 3 : 4

C . 7 : 8

D . 7 : 6

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

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