Unitary Method Questions

Repeat of loom-weaving time (approximate seconds): A certain industrial loom weaves 0.128 meters of cloth every second. Approximately how many seconds will it take the loom to weave a total of 25 meters of cloth at this constant rate?

Binder requirement from books–men–days proportion: If 18 binders can bind 900 books in 10 days at a steady pace, how many binders are needed to bind 660 books in 12 days, assuming identical efficiency and conditions?

Approximate pricing by proportion (rounding awareness): If the price of 6 toys is ₹ 264.37 at a uniform per-toy rate, what is the approximate price (in rupees) of 5 toys at the same rate? Choose the closest option.

Finishing time from partial completion at a constant rate: A person works on a project and completes 5/8 of the job in 10 days at a steady pace. Assuming the same rate continues, how many more days will he require to finish the remaining work?

Rounds around cylinders with different radii (fixed rope length): A rope can make 70 complete rounds around a cylinder whose base radius is 14 cm. Using the same rope (same length), how many complete rounds will it make around another cylinder whose base radius is 20 cm?

A garrison had provisions for a certain number of days. After 10 days, one-fifth (1/5) of the men deserted. Under the new (reduced) strength, the remaining provisions will now last for exactly as many days as originally planned. For how many days was the garrison originally provisioned?

A certain number of men can finish a job in 100 days. If there were 10 men fewer, the job would take 10 days longer (110 days). How many men were there originally?

If 7 spiders weave 7 webs in 7 days (all working at the same constant rate), then how many days will 1 spider take to weave 1 web?

A flagstaff 17.5 m high casts a 40.25 m shadow under the sun. Under the same conditions, what is the height of a building that casts a 28.75 m shadow?

Six identical machines produce 270 bottles per minute at a constant rate. At the same rate, how many bottles can ten such machines produce in 4 minutes?

Food in a hostel is sufficient for 50 students for 45 days (steady consumption). If 75 students share the same stock, for how many days will it last?

If the price of m identical articles is ₹ n (total), what is the price of 5 such articles at the same per-article rate?

Twelve men can complete a job in 24 days (constant rate and identical efficiency). If only 8 men are engaged, in how many days will the job be finished?

Maganlal makes one article every 2/3 hour at a steady pace. If he works for 7.5 hours in a day, how many complete articles will he produce (fractional count allowed as output measure)?

Shantanu completes five-eighths (5/8) of a job in 20 days at a constant pace. At this rate, how many more days are needed to finish the remaining work?

Twenty men can build a 56 m long wall in 6 days (all else same). At the same rate, what length of a similar wall will 70 men build in 3 days?

Twenty-two men can complete a job in 16 days (constant rate). In how many days will thirty-two men complete the same job?

Thirty men working 9 hours per day can reap a field in 16 days. If 36 men work 8 hours per day at the same efficiency, in how many days will they reap the field?

A garrison of 1000 men had provisions for 48 days. Then 600 more men arrived as reinforcement. Assuming the same daily ration per man, how many days will the provisions last now?

Twelve persons working 16 hours per day earn ₹ 33,600 in a week (same weekly span). At the same rate, how much will eighteen persons earn working 12 hours per day in a week?