37. 16% pages of a book are read on Monday, 32% pages are read on Tuesday, 325
pages of the book are left to be read. How many pages of the book are read?
a
(1) 300 (2) 400 (3) 275 (4) 280
Answers
Answer:
For Example:
Step-by-step explanation:
Let the total number of pages in the book be x .
Then ,
No. of pages read on Monday = 30% of x
No. of pages read on Tuesday = 50% of x
No. of pages left to be read = 72
Now,
=> Total no. of pages in the book = No. of pages read on Monday + No. of pages read on Tuesday + No. of pages lest to be read .
=> x = (30% of x) + (50% of x) + 72
=> x = (30/100)•x + (50/100)•x + 72
=> x = (3/10)•x + (5/10)•x + 72
=> x = 3x/10 + 5x/10 + 72
=> x = (3x + 5x)/10 + 72
=> x = 8x/10 + 72
=> x - 8x/10 = 72
=> (10x - 8x)/10 = 72
=> 2x/10 = 72
=> x/5 = 72
=> x = 72•5
=> x = 360
Hence,
The total number of pages in the book is 360 .
I have not given exact answer because after this example you do the question it will be helpful than just copying
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300 pages have been read. (Option A is the right answer)
Given,
16% of pages of a book are read on Monday
32% of pages are read on Tuesday
325 pages of the book are left to be read
To Find,
How many pages of the book are read?
Solution,
Let the total number of pages in the book be x
Pages read = 16% of x + 32% of x
Pages read = 16/100 * x + 32/100 * x
Pages read = 16x/100 + 32x/100
Pages read = 48x/100
Pages read = 0.48x
Pages left to read = x - 0.48x
Pages left to read = x(1 - 0.48)
Pages left to read = 0.52x
It has also been given that 325 pages of the book are left to be read.
Therefore,
0.52x = 325
x =
x = 625 pages
Now, pages already read = 0.48x
Pages read = 0.48(625)
Pages read = 300 pages
Hence, 300 pages have been read.
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