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The 5th part of a number when divided by 3 yields three times half of tenth part of half of 80. What is the number?
Question

The 5th part of a number when divided by 3 yields three times half of tenth part of half of 80. What is the number?

A.

44

B.

60

C.

90

D.

45

Correct option is C

Given:

The 5th part of a number when divided by 3 yields three times half of tenth part of half of 80.

Solution:

Let the number be x.

x53=3×12×110×12×80\frac {\frac x5}{ 3 }= 3 \times \frac12 \times \frac1{10} \times \frac12 \times 80​​

x15=3×120×40\frac x { 15} = 3 \times\frac{1}{20}\times 40​​

x15=6\frac x { 15} = 6​​

x = 90

Therefore, the number is 90.

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