Sunil Makihija can check the quality of 1000 items in 5 hours and Nilesh Desai can complete 75% of the same job in 3 hours. How much time is required for both of them to check 1300 items, if Nilesh stops checking after 2 hours ?

Sunil checks 1000 items in 5 hours, so Sunil's rate = 1000/5 = 200 items/hour

Nilesh completes 75% of the same job (1000 items) in 3 hours. 75% of 1000 is 750 items. = 750/3 = 250 items/hour

In the first 2 hours, both Sunil and Nilesh are working together.  Combined Rate: 200 + 250 = 450 items / hour

Items checked in 2 hours: 450*2 = 900 

The total target is 1300 items. Remaining Items = 1300 - 900 = 400 items. 

Now, Nilesh stops checking after the first 2 hours, so Sunil must finish the remaining 400 items alone.

Time required by Sunil = 400 items / 200 items/hour = 2 hours

Total Time = 2 hours + 2 hours = 4 hours.