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\(91\frac{2}{3}\% \;of\;396 + 91\frac{1}{9}\% \;of\;270 + 37.5\% \;of\;512\; = \;?\)
1. 845
2. 616
3. 801
4. 663

1 Answer

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Best answer
Correct Answer - Option 3 : 801

Concept:

100% = 1 (in fraction)

1 = 100% (in percentage)

\(8\frac{1}{3}\% = \frac{1}{{12}}\)

\(9\frac{1}{9}\% = \frac{1}{{9}}\)

\(37\frac{1}{2}\% = \frac{3}{{8}}\)

Calculation:

\(91\frac{2}{3}\% = 100\% - 8\frac{1}{3}\% \)

\(91\frac{1}{9}\% = 80\% +11\frac{1}{9}\% \)

now,

\(\left( {100\% - 8\frac{1}{3}\% } \right)of\;396 + \left( {80\% + 11\frac{1}{9}\% } \right)of\;270 + \frac{3}{8}\;of\;512 \)

⇒ \(\left( {1 - 1/12 } \right)of\;396 + \left( {4/5 + \frac{1}{9} } \right)of\;270 + \frac{3}{8}\;of\;512\)

⇒ (11/12) × 396 + (41/45) × 270 + (3/8) × 512

⇒ 11 × 33 + 41 × 6 + 3 × 64

⇒ 363 + 246 + 192 = 801

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