A shopkeeper has 100 kgs of tea. He sells a part of it at 20% profit and the res

CuriousTab

CuriousTab

Home Aptitude

Discussion

Home ‣ Aptitude ‣ Alligation or Mixture Comments

Question
A shopkeeper has 100 kgs of tea. He sells a part of it at 20% profit and the rest at 5% loss. If his overall profit is 10%, find the quantity for each part.
Options
A. 20 kgs
B. 25 kgs
C. 30 kgs
D. 40 kgs

Correct Answer

20 kgs

Explanation

As per figure, we can calculate as below.
Quantity sold at 20% profit = 3 / (3 + 2) � 100 = 60 kgs.
Quantity sold at 5% loss = (100 ? 60) = 40 kgs.

Alligation or Mixture problems

Search Results

1.
In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?
Options
A. 4 : 5
B. 3 : 5
C. 3 : 4
D. 3 : 2

2.
A vessel contains 80 litres of milk. 16 litres of milk was taken out of the vessel and replaced by water. Then 16 litres of mixture was withdrawn and again replaced by water. The operation was repeated for third time. How much milk is now left in the vessel?
Options
A. 96.40 litres
B. 50.36 litres
C. 40.96 litres
D. 32.76 litres

3.
A sum of Rs. 70 is divided among 10 children. Each boy gets Rs. 10 whereas a girl gets Rs. 5. If the number of boys is 4, find the number of girls.
Options
A. 6
B. 7
C. 8
D. 9

4.
The average daily wages of staff, consisting of supervisors and labourers, of a company is Rs. 50. The average wages of supervisors is Rs. 150 while that of labourers is Rs. 40 per day. If the number of supervisors is 15, find the number of labourers in the company.
Options
A. 150
B. 175
C. 180
D. 200

5.
A person has Rs. 5000. He invests a part of it at 3% per annum and the remainder at 8% per annum simple interest. His total income in 3 years is Rs. 750. Find the sum invested at different rates of interest.
Options
A. Rs. 2000 and Rs. 3000
B. Rs. 2500 and Rs. 2500
C. Rs. 3000 and Rs. 2000
D. Rs. 2750 and Rs. 2250

6.
A cask full of wine from which 8 litres are drawn and is then filled with water. This operation is performed three more times. The ratio of quantity of wine left in the cask to that of the water is 16: 81. How much wine did the cask hold originally?
Options
A. 42 litres
B. 32 litres
C. 24 litres
D. 18 litres

7.
Rs. 675 was divided among 75 boys and girls. Each boy gets Rs. 20 whereas a girl gets Rs. 5. Find the number of boys and girls.
Options
A. 20 , 55
B. 15 , 60
C. 25 , 50
D. 30 , 45

8.
A sum of Rs. 41 was divided among 50 boys and girls. Each boy gets 90 paise and a girl 65 paise. The number of boys is ?
Options
A. 16
B. 34
C. 14
D. 36

9.
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

10.
Sugar at Rs. 15 per kg is mixed with sugar at Rs. 20 per kg in the ratio 2 : 3. Find the price per kg of the mixture?
Options
A. Rs. 18
B. Rs. 16
C. Rs. 17
D. Rs. 19

Comments

More in Aptitude: