Reemu read (1/5)th pages of a book. If she reads further 40 pages, she would have read (7/10)th pages of the book. How many pages are left to be read?
Show solutionHide solution
Solution:-
From the question it is given that,
Reemu read (1/5)th pages of a book.
Let us assume the total number of pages in the book be ‘P’.
Then, number of pages read by Reemu = (1/5) of P
= (1/5) × P
And also, it is given in the question, If she reads further 40 pages, she would have read (7/10)th pages of the book. = (7/10) × P
So,
((1/5) × P) + 40 = (7/10) × P
(P + 200)/5 = (7P/10)
By cross mutliplication we get,
2P + 400 = 7P
5P = 400
P = 400/5 … [divide both numerator and denominator by 5]
P = 80
Then, pages read by Reemu = Total pages – Pages read
P – (7P/10) = (3P/10)
(3/10) × 80
24 pages
Therefore, 24 pages are left to be read.

Solution:-
Let us assume the missing number be P.
Then,
(3/7) × P = 15/98
By cross multiplication we get,
P = (15/98) × (7/3)
P = (5/14) × (1/1)
P = 5/14
Therefore,
