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Kartik reads 200 pages of a book out of ...

Kartik reads 200 pages of a book out of 320 pages. Kanika reads `3/5` of the same book. Who read less pages and by how much?

A

Kartik, 8 pages

B

Kartik, 12 pages

C

Kanika, 8 pages

D

Kanika, 12 pages

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we need to determine how many pages Kanika reads and then compare it with the number of pages Kartik reads. ### Step 1: Find out how many pages Kanika reads. Kartik reads 200 pages out of a total of 320 pages. Kanika reads \( \frac{3}{5} \) of the same book. To find out how many pages Kanika reads, we calculate: \[ \text{Pages read by Kanika} = \frac{3}{5} \times 320 \] ### Step 2: Perform the multiplication. Calculating \( \frac{3}{5} \times 320 \): \[ \frac{3 \times 320}{5} = \frac{960}{5} = 192 \] So, Kanika reads 192 pages. ### Step 3: Compare the pages read by Kartik and Kanika. Now we compare the number of pages read by both: - Kartik: 200 pages - Kanika: 192 pages ### Step 4: Determine who read less and by how much. Since 192 pages (Kanika) is less than 200 pages (Kartik), we find out how much less: \[ \text{Difference} = 200 - 192 = 8 \] ### Conclusion: Kartik read more pages than Kanika. Kanika read 8 pages less than Kartik. ### Final Answer: Kanika read less pages than Kartik by 8 pages. ---
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