• # question_answer Which of the following statements is CORRECT? Statement - 1: Mrs Soni bought $7\frac{1}{2}$ litres of milk. Out of this, $5\frac{3}{4}$ litres was consumed. $1\frac{1}{3}$ litres of milk is left with her. Statement - 2: Amit reads $\frac{3}{5}$ of a book. He finds that there are still 80 pages left to be read. Total number of pages in the book is 200. A)  Only Statement-1B)  Only Statement-2C)  Both Statement-1 and Statement-2D)  Neither Statement-1 and nor Statement-2

Statement-1: Total quantity of milk bought $=7\frac{1}{2}$ litres $=\frac{15}{2}$litres Quantity of milk consumed $=5\frac{3}{4}\text{litres}$ $=\frac{23}{4}\text{litres}$ $\therefore$ Quantity of milk left $=\left( \frac{15}{2}-\frac{23}{4} \right)$litres $=\left( \frac{30-23}{4} \right)\text{litres=}\frac{7}{4}$ litres $=1\frac{3}{4}\text{litres}$ Statement ? 2: Let total number of pages in the book be x. According to question, $\frac{3}{5}x+80=x$ $\Rightarrow x-\frac{3}{5}x=80\Rightarrow \frac{2x}{5}=80\Rightarrow x=\frac{80\times 5}{2}$ $\Rightarrow x=200$ $\therefore$ Total number of pages =200 Hence, only statement-2 is true.
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