- This problem requires working backward from the final state to the initial state. - Let the number of marbles left at each stage be denoted by variables. - Let the number of marbles left at the very end be E = 17. - L's turn: L took half of the marbles remained after K's turn, and put back 2. Let the number of marbles before L's turn be M_L. L took M_L / 2. Marbles left after taking = M_L - M_L / 2 = M_L /
Three friends J, K and L are given a bowl with some marbles in it. J took one-third of the total marbles but put back four marbles in the bowl. Then K took one-fourth of the remaining marbles, but put back 3 marbles in the bowl. After that L took half of the remained marbles, but put back 2 marbles in the bowl. At that time 17 marbles were left. How many marbles were there originally in the bowl?
Asked in GPSC Prelims CSP 1 2023 · Topic: Planning (Meaning and Scope of Economic Planning)
More Economic Development questions
- L put back 2. Final number = M_L / 2 + 2. So, M_L / 2 + 2 = 17. M_L / 2 = 15. M_L = 30. There were 30 marbles before L took his share. This is the number of marbles left after K finished his turn. - K's turn: K took one-fourth of the marbles remained after J's turn, and put back 3. Let the number of marbles before K's turn be M_K. M_K is the number of marbles left after J finished. K took M_K / 4. Marbles left after taking = M_K - M_K / 4 = 3 M_K / 4. K put back 3. Number of marbles after K's turn = 3 M_K / 4 + 3. So, 3 M_K / 4 + 3 = 30. 3 M_K / 4 = 27. 3 M_K = 27 4 = 108. M_K = 108 / 3 = 36. There were 36 marbles before K took his share. This is the number of marbles left after J finished his turn. - J's turn: J took one-third of the total marbles, and put back 4. Let the original number of marbles be M_Total. J took M_Total / 3. Marbles left after taking = M_Total - M_Total / 3 = 2 M_Total / 3. J put back 4. Number of marbles after J's turn = 2 M_Total / 3 + 4. So, 2 M_Total / 3 + 4 = 36. 2 M_Total / 3 = 32. 2 M_Total = 32 3 = 96. M_Total = 96 / 2 = 48. - The original number of marbles was 48. - Checking the options: A) 42, B) 45, C) 54. None of these match the calculated original number (48). 112. Find out the wrong number in the series: 789, 645, 545, 481, 440, 429, 425
- Cylindrical cans of radius of 7 cm and height of 30 cm are placed in a rectangular box of dimension 76 cm × 46 cm × 45 cm. What is the maximum number of cans that can fit in the box?
- The process of planning of Indian Economy is
- 'Planned Economy for India' — The book was written by
- Economic Planning means - The allocation of economic resources and the determination of production by market forces. - The use of monetary and fiscal policy to solve economic problems. - The allocation of economic resources and the determination of production on the basis of a plan - Government permission is necessary to establish an industry
- Methods of economic projections are described as
- Which of the following is true about zero- based budgeting?
- The writer of the book “Planned Economy for India” is