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If 60% of 30% of 13\frac1331​​ of a number is 204, find the number.
Question

If 60% of 30% of 13\frac13​ of a number is 204, find the number.

A.

7050

B.

5250

C.

4390

D.

3400

Correct option is D

Given
60% of 30% of 13\frac 13​ of a number = 204
Formula Used
Percentage conversion: x% = x100\frac{x}{100}​​
Solution
Let the number be x.
60100×30100×13×x=204 35×310×13×x=204 350×x=204 x=204×503 x=68×50 x=3400 \frac{60}{100} × \frac{30}{100} × \frac{1}{3} × x = 204 \\\ \\\frac{3}{5} × \frac{3}{10} × \frac{1}{3} × x = 204\\\ \\\frac{3}{50} × x = 204 \\\ \\x = \frac{204 × 50}{3} \\\ \\x = 68 × 50 \\\ \\x = 3400 \\\ \\​​
Final Answer
So the correct answer is (d)

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