Table Chart Data Interpretation (DI) Quiz for All Competitive Exam (PGT Teacher, PGT Commerce, UGC NET/JRF, UKSSSC, DSSSB, CTET, PSU Accountant, IAS Exam, IBPS, SBI, PO/Clerk, LIC, RBI Assistant, LIC Assistant, IBPS Clerk, IBPS RRB Exams)
Check Your Performance
Directions : Study the following table chart carefully and answer the questions given beside.
Ram has 5000 litres of pure milk. He sells 40% of the total milk to six different persons(A,B,C,D,E,F) and the remaining 60% of total milk he utilizes in his own shop. Each person, A, B, C, D, E, and F mixes water in pure milk. The following table given below shows the sales of milk to six different persons by Ram as a percentage of total sales and it also shows the concentration of water after adding water in pure milk by each of the six persons.
Person
Sales of Milk
The concentration of water (After adding water in pure milk)
A
24%
24%
B
10%
10%
C
12%
18%
D
7%
15%
E
28%
25%
F
19%
12%
Q1. What is the difference between the total quantity of water added by Person A and that of Person C? (approximately) A. 105 liters B. 99 liters C. 91 liters D. 95 liters E. 102 liters
Q2. What is the respective ratio of the total quantity of water added by Person C and the total quantity of water added by Person E? A. 81 : 287 B. 9 : 32 C. 3 : 11 D. 85 : 287 E. None of these
Q3. Who among the following added least quantity (In litres) of water in pure milk? A. A B. B C. C D. E E. F
Q4. Suppose, A, B, and C mix their solutions in one can then what would be the concentration of milk in the new solutions? (approximately) A. 75.2% B. 78.21% C. 80.25% D. 85.24% E. 72.68%
Q5. How many total litres of water was added by all the persons together? (approximately) A. 500 litres B. 550 litres C. 450 litres D. 490 litres E. 520 litres
Q6. Suppose, all of them mixed the solution together in one can and boiled it then 200 litres of water were evaporated then what is the concentration of pure milk in the new solution? (approximately) A. 92.28% B. 85.24% C. 91.42% D. 78.45% E. 87.34%
40% of 5000 = 2000 litres Ram sells to six persons
Person
Sales of Milk
The concentration of water (After adding water in pure milk)
A
24% of 2000 = 480 litres
24%
B
10% of 2000 = 200 litres
10%
C
12% of 2000 = 240 litres
18%
D
7% of 2000 = 140 litres
15%
E
28% of 2000 = 560 litres
25%
F
19% of 2000 = 380 litres
12%
Let Person A add ‘a’ litres of water then the total quantity of solution = 480 + ‘a’ litres, in which the concentration of water is 24% Therefore, 24% of (480 + a) = a 100a = 24 × 480 + 24a 76a = 24 × 480 A = 2880/19 litres = approximately 151.58 litres = Quantity of water added by Person A Similarly, Let the person C add c litres of water then 18% of (240 + c) = c 82c = 240 × 18 C = 2160 / 41 litres = 52.68 litres approximately = quantity of water added by person C The required difference = 151.58 – 52.68 = 98.9 litres = approximately 99 litres
Q2. Correct Option: A Let the person C add c litres of water then 18% of (240 + c) = c 82c = 240 × 18 C = 2160 / 41 litres = 52.68 litres approximately = quantity of water added by person C Let the person E add e litres of water Then, 25% of (560 + e) = e 75e = 560 × 25 E = 560 / 3 litres = quantity of water added by person E Reqd. ratio = 2160/41 : 560/3 = 81 : 287
Q3. Correct Option: B Let Person A add ‘a’ litres of water then the total quantity of solution = 480 + ‘a’ litres, in which the concentration of water is 24% Therefore, 24% of (480 + a) = a 100a = 24 × 480 + 24a 76a = 24 × 480 a = 2380/19 litres = approximately 151.58 litres = Quantity of water added by Person A Let the person B add b litres of water then, 10% of (200 + b) = b b = quantity of water added by Person B = 200/9 litres = approximately 22.22 litres Let the person C add c litres of water then 18% of (240 + c) = c 82c = 240 × 18 C = 2160/41 litres = 52.68 litres approximately = quantity of water added by person C Let the person D add d litres of water 15% of (140 + d) = d D = 140/85 x15 = 24.70 liters = quantity of water added by person D Let the person E add e litres of water Then, 25% of (560 + e) = e 75e = 560 × 25 E = 560/3 litres = 186.67 litres approximately = quantity of water added by person E Let the person F add f litres of water then, 12% of (380 + f) = f 88f = 380 × 12 f = 51.82 litres = quantity of water added by person F therefore, B added least quantity (In litres) of water
Q4. Correct Option: C
Person
Sales of Milk
The concentration of water (After adding water in pure milk)
A
24% of 2000 = 480 litres
24% = 151.58 litres
B
10% of 2000 = 200 litres
10% = 22.22 litres
C
12% of 2000 = 240 litres
18% = 52.56 litres
When A, B, and C mix their solution in one can then the quantity of milk in the new solution = 480 + 200 + 240 = 920 litres And the quantity of milk in the new mixture = 151.58 + 22.22 + 52.56 = 226.36 litres The total quantity of new solution = 920 + 226.36 = 1146.36 litres The required concentration of milk in the new solution = 920 / 1146.36 x 100 = 80.25% approximately
Q5. Correct Option: D
Person
Sales of Milk
The concentration of water (After adding water in pure milk)
A
24% of 2000 = 480 litres
24% = 151.58 litres
B
10% of 2000 = 200 litres
10% = 22.22 litres
C
12% of 2000 = 240 litres
18% = 52.68 litres
D
7% of 2000 = 140 litres
15% = 24.70 litres
E
28% of 2000 = 560 litres
25% = 186.67 litres
F
19% of 2000 = 380 litres
12% = 51.82 litres
The total quantity of water added by all the persons together = 151.58 + 22.22 + 52.68 +24.70 + 186.67 + 51.82 = approximately 489.67 litres = approximately 490 litres
Q6. Correct Option: E The total quantity of milk = 2000 litres The total quantity of water = approximately 490 litres The total quantity of solution = 2000 + 490 = 2490 litres approximately When 200 litres of water were evaporated then the remaining quantity of water = 2490 – 200 = 2290 litres The concentration of pure milk in the new solution = 2000 / 2290 x 100 = approximately 87.34%
