What should come in place of the question mark (?) in the following questions?
?% of 280 + 18% of 550 = 143.8 (a) 11 (b) 18 (c) 21 (d) 16 (e) None of these
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Your Answer
Let's denote the unknown percentage as "x."
So, the equation becomes:
x% of 280 + 18% of 550 = 143.8
Now, calculate each part of the equation:
x% of 280 = (x/100) * 280
18% of 550 = (18/100) * 550
Now, the equation becomes:
(x/100) * 280 + (18/100) * 550 = 143.8
Now, simplify the equation:
(2.8x) + (99) = 143.8
Subtract 99 from both sides of the equation:
2.8x = 143.8 - 99 2.8x = 44.8
Now, divide both sides by 2.8 to solve for x:
x = 44.8 / 2.8 x = 16
So, the value that should replace the question mark is 16.
The correct option is (d) 16.
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