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By how much is 16\frac{1}{6}61​ th of 432 smaller than 34\frac{3}{4}43​ th of 216?
Question

By how much is 16\frac{1}{6} th of 432 smaller than 34\frac{3}{4} th of 216?

A.

162

B.

72

C.

90

D.

-90

Correct option is C

Given:

We need to find the difference between:

16\frac{1}{6} ​ of 432

34\frac{3}{4} ​ of 216

Solution:

16 of 432=432÷6=72\frac{1}{6} \text{ of } 432 = 432 \div 6 = 72​​

34 of 216=(216×3)÷4=648÷4=162\frac{3}{4} \text{ of } 216 = (216 \times 3) \div 4 = 648 \div 4 = 162​​

Required difference=162−72=90

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