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- Question
A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:
Options- A. 4%
- B. 6¼%
- C. 20%
- D. 25%
- Correct Answer
- 20%
ExplanationLet C.P. of 1 litre milk be Re. 1Then, S.P. of 1 litre of mixture = Re. 1, Gain = 25%.
C.P. of 1 litre mixture = Re. ❨ 100 x 1 ❩ = 4 125 5 By the rule of alligation, we have:
C.P. of 1 litre of milk C.P. of 1 litre of water Re. 1 Mean Price
Re. 4 5 0 4 5 1 5 ∴ Ratio of milk to water = 4 : 1 = 4 : 1. 5 5 Hence, percentage of water in the mixture = ❨ 1 x 100 ❩% = 20%. 5
More questions
- 1. If the bisector of an angle of ? bisects the opposite side, then the ? is :
Options- A. Scalene
- B. Isosceles
- C. Right triangle
- D. circle Discuss
Correct Answer: Isosceles
Explanation:
- 2. If U = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11}, A = {3, 5, 7, 9, 11} and B = {7, 8, 9, 10, 11}, Then compute (A ? B)?.
Options- A. {2, 3, 5, 7, 9, 11, 12}
- B. {2, 4, 6, 8, 10, 11, 12}
- C. {2, 4, 6, 8, 9, 10, 11}
- D. None of these Discuss
Correct Answer: None of these
Explanation:
A ? B is a set of member which belong to A but do not belong to B
? A ? B = {3, 5, 7, 9, 11} - {7, 8, 9, 10, 11}
A ? B = {3, 5}
According to formula,
(A ? B)? = U - (A ? B)
? (A ? B)? = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11} - {3, 5}
(A ? B)? = {2, 4, 6, 7, 8, 9, 10, 11}.- 3. 6 liters of milk and water mixture has 75% milk in it. How much milk should be added to the mixture to make it 90% pure?
Options- A. 8 liters
- B. 9 liters
- C. 10 liters
- D. 12 liters Discuss
Correct Answer: 9 liters
Explanation:
The given solution has 75% milk.
Milk to be added has 100% milk.
Milk should be added to the given mixture in the ratio 15 : 10 or 3 : 2
? Quantity of milk to be added = (3 / 2) × 6 = 9 liters.- 4. Some amount out of Rs. 7000 was lent at 6 % p.a. and the remaining at 4 % p. a. If the total simple interest from both the fractions in 5 years was Rs. 1600, the sum lent at 6 % p. a. was ?
Options- A. Rs. 2000
- B. Rs. 5000
- C. Rs. 3500
- D. None of these Discuss
Correct Answer: Rs. 2000
Explanation:
- 5. A person bought 60 quintals of rice of two different sorts for Rs. 4642·50. The better sort costs Rs. 80 per quintal and the worse Rs. 75·50 per quintal. How many quintals were there of each sort?
Options- A. 25 quintals, 35 quintals
- B. 20 quintals, 40 quintals
- C. 32 quintals, 28 quintals
- D. None of these Discuss
Correct Answer: 25 quintals, 35 quintals
Explanation:
- 6. 2, 15, 41, 80,132,?
Options- A. 197
- B. 150
- C. 178
- D. 180 Discuss
Correct Answer: 197
Explanation:
Series pattern
+ 13, + 26, + 39, + 52, + 65
? Missing term = 132 + 65 = 197- 7. 1220, 244, ....., 9.76, 1.952,?
Options- A. 48.8
- B. 49.2
- C. 47
- D. 8 Discuss
Correct Answer: 48.8
Explanation:
Series pattern
Previous number/5
? Missing term = 244/5 = 48.8- 8. Anil is an active and Vimal is a sleeping partner in a business. Anil invests ? 12000 and Vimal invests ? 20000. Anil receives 10% profit for managing, the rest being divided in proportion to their capitals. Out of the total profit of ? 9000, the money received by Anil is
Options- A. ? 4500
- B. ? 4800
- C. ? 4600
- D. ? 3937.5 Discuss
Correct Answer: ? 3937.5
Explanation:
For management, money received by Anil = 10% of 9000 = ? 900
Balance = ? (9000 - 900) = ? 8100
Now, ratio of investments =12000 : 20000 = 3 : 5
? Anil's share = ? 8100 x 3/(3 + 5)
= ? 8100 x 3/8 = ? 3037.50
? Amount received by Anil = ? 900 + 3037.50
= ? 3937.50- 9. $ 20 is the true discount on $ 260 due after a certain time. What will be the true discount on the same amount due after half of the earlier time, the rate of interest being the same.
Options- A. $ 10
- B. $ 10.40
- C. $ 15.20
- D. $ 13 Discuss
Correct Answer: $ 10.40
Explanation:
- 10. The Average of 5 observation is 15. If three new observation 16.5, 18 and 14.5 be added. Then find the new average.
Options- A. 14.8
- B. 15.5
- C. 16.2
- D. 15.6 Discuss
Correct Answer: 15.5
Explanation:
Total of 5 observations = 5 x 15 = 75
New sum = 75 + 16.5 + 18 + 14.5 = 124
New Average = 124 ? 8 = 15.5
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