Ratio Proportion and Partnership

51. A certain amount is distributed among A, B and C. A gets 3/10 and B gets 1/4 of the whole amount, If C gets Tk. 81, then B gets:

• ক. Tk. 45
• খ. Tk. 32
• গ. Tk. 36
• ঘ. Tk. 40

52. The ratio of three numbers is 3 : 4 : 5 and the sum of their squares is 1250. The sum of the numbers is:

• ক. 30
• খ. 50
• গ. 60
• ঘ. 90

53. X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If X invested Tk. 40,000 the amount invested by Y is:

• ক. Tk. 45,000
• খ. Tk. 50,000
• গ. Tk. 60,000
• ঘ. Tk. 80,000

54. In a 500m race, the ratio of the speeds of two comtestants A and B is 3 : 4. A has start of 140m. Then A wins by:

• ক. 60m
• খ. 40m
• গ. 20m
• ঘ. 10m

55. In what ratio must tea at Tk. 62 per kg be mixed with tea at Tk. 72 per kg so that the mixture must be worth Tk. 64.50 per kg?

• ক. 3 : 1
• খ. 3 : 2
• গ. 4 : 3
• ঘ. 3 : 5

56. A starts business with Tk. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?

• ক. Tk. 7500
• খ. Tk. 8000
• গ. Tk. 8500
• ঘ. Tk. 9000

57. A sum of money is to distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Tk. 1000 more than D, what is B's share?

• ক. Tk. 500
• খ. Tk. 1500
• গ. Tk. 2000
• ঘ. None of these