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Evaluate the value of ?? in the following equation: (48% of 625)+(32% of 375)(16.66% of 432)=?×2.5(48\% \text{ of } 625) + (32\% \text{ of } 375) - (16.66\% \text{ of } 432) = ? \times 2.5

Evaluate the value of ?? in the following equation: (48% of 625)+(32% of 375)(16.66% of 432)=?×2.5(48\% \text{ of } 625) + (32\% \text{ of } 375) - (16.66\% \text{ of } 432) = ? \times 2.5

  1. 136.4136.4

  2. 139.2139.2

  3. 142.8142.8

  4. 138.6138.6

  5. 144.0144.0

Show answer & explanation

Correct answer

139.2139.2

Explanation

1) 48% of 625=625% of 48=254×48=25×12=30048\% \text{ of } 625 = 625\% \text{ of } 48 = \frac{25}{4} \times 48 = 25 \times 12 = 300. 2) 32% of 375=375% of 32=154×32=15×8=12032\% \text{ of } 375 = 375\% \text{ of } 32 = \frac{15}{4} \times 32 = 15 \times 8 = 120. 3) 16.66%=16    16×432=7216.66\% = \frac{1}{6} \implies \frac{1}{6} \times 432 = 72. LHS =300+12072=348= 300 + 120 - 72 = 348. 348=?×2.5    ?=3482.5=6965=139.2348 = ? \times 2.5 \implies ? = \frac{348}{2.5} = \frac{696}{5} = 139.2.

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