Two fifth of one third of three seventh of a number is 15, what is the 40% of that number?
Answers
Answer:
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Answer:
40 percent of the 1575 is 105 .
Step-by-step explanation:
As given
Two-fifth of one -third of three-seventh of number is 15.
Let us assume that the unknown number be x .
\frac{2}{5}\times \frac{1}{3}\times \frac{3}{7}\times x = 15
5
2
×
3
1
×
7
3
×x=15
Simplify the above
x = \frac{15\times 5\times 3\times 7}{2\times 1\times 3}x=
2×1×3
15×5×3×7
x = \frac{1575}{6}x=
6
1575
x = 262.5
Percentage formula
Percentage = \frac{Part\ value\times 100}{Total\ value}Percentage=
Total value
Part value×100
Percentage = 40%
Total value = 262.5
Put all the values in the formula
40= \frac{Part\ value\times 100}{262.5}40=
262.5
Part value×100
Part\ value = \frac{262.5\times 40}{100}Part value=
100
262.5×40
Part\ value = \frac{10500}{100}Part value=
100
10500
Part value = 105.
Therefore the 40 percent of the 1575 is 105 .