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Question 1 of 5
1. Question
How many kilograms of sugar worth 3.60 per kg Should be mixed with 8 kg of sugar worth Rs. 4.20 per kg, such that by selling the mixture at Rs. 4.40 per kg, there may be a gain of 10%?
Correct
Ans-d
Since by selling at Rs. 4.40 we want a profit of 10%, it means that the average cost required is RS. 4 per kg. Mixing sugar worth Rs. 3.6/kg and Rs. 4.2/kg to get 4/kg means a mixture ratio of 1:2. Thus, to 8 kg of the second variety we need to add 4 kg of the first variety to get the required cost price.
Incorrect
Ans-d
Since by selling at Rs. 4.40 we want a profit of 10%, it means that the average cost required is RS. 4 per kg. Mixing sugar worth Rs. 3.6/kg and Rs. 4.2/kg to get 4/kg means a mixture ratio of 1:2. Thus, to 8 kg of the second variety we need to add 4 kg of the first variety to get the required cost price.
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Question 2 of 5
2. Question
A mixture of 125 gallons of wine and water contains 20% water. How much water must be added to the mixture in order to increase the percentage of water to 25% of the new mixture
Correct
Ans-d
In 125 gallons we have 25 gallons water and 100 gallons wine. To increase the percentage of water to 25%, we need to reduce the percentage of wine to =75%. This means that 100 gallons of wine 75% of the new mixture. Thus the total mixture =133.33 gallons. Thus, we need to mx 133.33 – 125 = 8.33
gallons of water in order to make the water equivalent to 25% of the mixture.
Incorrect
Ans-d
In 125 gallons we have 25 gallons water and 100 gallons wine. To increase the percentage of water to 25%, we need to reduce the percentage of wine to =75%. This means that 100 gallons of wine 75% of the new mixture. Thus the total mixture =133.33 gallons. Thus, we need to mx 133.33 – 125 = 8.33
gallons of water in order to make the water equivalent to 25% of the mixture.
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Question 3 of 5
3. Question
Ravi lends Rs.3600 on simple interest to Harsh for a period of5 years. He lends a part of the amount at 4% interest and the rest at 6% and receives Rs. 960 as the amount of interest. How much money did he lend on 4% interest rate?
Correct
Ans-d
Since, Ravi earns Rs. 960 in 5 years, it means that he earns an interest of 960/5 = Rs. 192 per year. On an investment of 3600, an annual interest of 192 represents an average interest rate of 5.33%.
Then using the alligation figure below:
We get the ratio of investments as 1:2. Hence, he lent 1x 3600/3 1200 at 4% per annum.
Incorrect
Ans-d
Since, Ravi earns Rs. 960 in 5 years, it means that he earns an interest of 960/5 = Rs. 192 per year. On an investment of 3600, an annual interest of 192 represents an average interest rate of 5.33%.
Then using the alligation figure below:
We get the ratio of investments as 1:2. Hence, he lent 1x 3600/3 1200 at 4% per annum.
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Question 4 of 5
4. Question
400 students took a mock exam in Delhi. 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of students qualifying is 65%, how many girls appeared in the examination?
Correct
Ans-A
The ratio of boys and girls appearing for the exam can be seen to be 3:1 using the following alligation figure.
This means that out of 400 students, there must have been 100 girls who appeared in the exam.
Incorrect
Ans-A
The ratio of boys and girls appearing for the exam can be seen to be 3:1 using the following alligation figure.
This means that out of 400 students, there must have been 100 girls who appeared in the exam.
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Question 5 of 5
5. Question
A man purchased a cow and a calf for Rs. 1300. He sold the calf at a profit of 20% and the cow at a profit of 25%. In this way, his total profit was 23%. Find the cost price of the cow.
Correct
Ans-d
The ratio of the cost of the cow and the calf would be 40:25 or 8:5 as can be seen from the following alligation figure:
Thus, the cost of the cow would be Rs. 800.
Incorrect
Ans-d
The ratio of the cost of the cow and the calf would be 40:25 or 8:5 as can be seen from the following alligation figure:
Thus, the cost of the cow would be Rs. 800.
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