An article is written in 10 complete pages, each with 15 lines and each line containing 6 words. This article is rewritten such that the pages have 12 lines and each line containing 10 words. Find the percentage decrease in the number of pages used for the article. Assume that the length of the words is same
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Ans: 20%
Step-by-step explanation
Let us first count the total words in the article which is,
10 × 15 × 6
Now in the second case, we have 12 lines with each line containing 10 words. Let the new pages be P.
=> 10 × 15 × 6 = 12 × 10 × P
=> P = (10×15×6) / (12×10)
= 7.5 pages
Now the number of pages will always be a whole number. So in total the new article will be of 8 pages.
Hence the percentage decrease will be,
(10-8)/10 ×100 = 20%
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