Question
A company produces three types of products: A, B, and C.
The total number of products produced in a month is 18,000. The production distribution is as follows: 40% of the total products are of type A. The number of products of type B is 25% more than the number of products of type A. The remaining products are of type C. In the next month, the production of type A increases by 20%, the production of type B decreases by 10%, and the production of type C remains the same. What is the percentage increase in the total production from the current month to the next month?Solution
Find the number of products of each type in the current month. Total production = 18,000 products. Type A production = 40% of 18,000 = 0.40 × 18,000 = 7,200 products. Type B production = 25% more than type A = 7,200 + 0.25 × 7,200 = 7,200 + 1,800 = 9,000 products. Type C production = Remaining products = 18,000 - (7,200 + 9,000) = 18,000 - 16,200 = 1,800 products. Now Find the production of each type in the next month. Type A production increases by 20%, so the new production of type A = 7,200 + 0.20 × 7,200 = 7,200 + 1,440 = 8,640 products. Type B production decreases by 10%, so the new production of type B = 9,000 - 0.10 × 9,000 = 9,000 - 900 = 8,100 products. Type C production remains the same, so the production of type C = 1,800 products. Find the total production in the next month. Total production in the next month = 8,640 + 8,100 + 1,800 = 18,540 products. Step 4: Find the percentage increase in total production. Percentage increase = [(Total production in next month - Total production in current month) / Total production in current month] × 100 Percentage increase = [(18,540 - 18,000) / 18,000] × 100 Percentage increase = (540 / 18,000) × 100 = 3%. Correct Option: c
In which domain did Dr. Ishwar Chandra Verma, a recipient of the Padma Shri award, make significant contributions?
What is the name of the strategic roadmap launched between India and the UK in 2025?
What proportion of AHFCs’ assets under management is in self-construction loans?
66 big-ticket infrastructure projects worth about Rs 5 lakh crore have been recommended for approval under the PM GatiShakti initiative so far this fisc...
Which insurance company has launched a debt fund that will enable customers to lock-in their investments at current high interest rates, build long-te...
According to the 2023 State of Food Security and Nutrition in the World (SOFI) report, what percentage of the global population was unable to afford a h...
Which of the following statements about the Kalki Dham temple and PM’s projects in Uttar Pradesh is/are incorrect?
1. The construction of Shri ...
Which country will be hosting the 12th World Hindi Conference in the year 2023?
How many Khelo India Centres (KICs) were launched in Haryana by the Chief Minister, Manohar Lal Khattar?
Recently North India’s First Biotech Park has been inaugurated at which of the following places?