Operating at a constant pace, 6 identical machines generate 270 bottles per minute. At this rate, how many bottles can 10 such machines produce in 4 minutes?
Show answer Hide answer
Answer: D. 1800
Explanation
Six identical machines produce two hundred seventy bottles per minute, meaning one machine produces forty five bottles per minute. Scaling this up to ten machines increases the production output to four hundred fifty bottles per minute. Multiplying the ten machine output rate by four minutes yields a total production of eighteen hundred bottles. Direct proportion problems assume that output scales linearly with the number of operating machines and time. Unit rate calculations determine the productivity of a single machine before scaling to larger operational fleets. Multiplying machine count, individual output rate, and operational duration gives total production volume.
Option A overestimates total production by applying an incorrect multiplier to the operating duration. Option B underestimates total output by failing to multiply the combined machine rate by the four minute duration. Option C represents the output of ten machines for only one minute rather than the full four minute period.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
Related questions
Q1. At 5% per annum compound interest, Rs. 800 will grow to Rs. 882 in________?
Show answer Hide answer
Answer: B. 2 years
The correct answer is two years for the investment to grow to eight hundred eighty-two. Using the compound interest formula with principal eight hundred and amount eight hundred eighty-two. Solving the exponential equati...
Q2. Sameena invests Rs. 50,000 in a software venture, and Nida contributes Rs. 80,000 six months later. From a Rs. 24,500 profit after 3 years, what was Sameena’s portion?
Show answer Hide answer
Answer: E. None of these
Calculating the effective capital investment requires multiplying each partner's contributed amount by their active duration. Dividing the total profit according to this weighted investment ratio determines each person's...
Q3. Raheem purchased a used car for Rs. 42000, spent Rs. 13000 on repairs, and retailed it for Rs. 64900. Find his percentage profit?
Show answer Hide answer
Answer: C. 18%
The total cost price is found by adding the initial purchase price of forty two thousand to thirteen thousand repairs. Total investment in the used car equals fifty five thousand rupees before retail sale. Subtracting co...
Q4. Mathematics, Physics, and Biology school positions are in a 5 : 7 : 8 proportion. Proposed expansions are 40%, 50%, and 75% respectively. What will be the new ratio?
Show answer Hide answer
Answer: A. 2 : 3 : 4
The correct answer is two to three to four for the new expanded ratio. Applying respective percentage expansions to parts five, seven, and eight gives new values. Simplifying the resulting expanded numbers produces the r...
Q5. Sehar gave Shazia Rs.1250 on compound interest for 2 years at 4% per annum. How much loss would Sehar has suffered had she given it to Shazia for 2 years at 4% per annum simple interest?
Show answer Hide answer
Answer: B. Rs.2
The difference between compound interest and simple interest over two years depends on the squared interest rate. Multiplying the principal amount by the square of the percentage rate yields the exact interest difference...
Q6. The true discount on Rs. 260 due after a specific duration is Rs. 20. What is the true discount for the same sum due in half that time at the same interest rate?
Show answer Hide answer
Answer: B. Rs. 10.40
True discount is proportional to the time duration for a given principal sum and interest rate. Halving the duration theoretically halves the true discount from twenty to ten rupees. Accounting for exact present value fo...