ExamCompetition Forum Question Papers Ask A Question Mock Test Learn & Earn Sign Up Login Menu



24 vote

Ramsukh sells rasgulla at Rs. 15 per kg. A rasgulla is made up of flour and sugar mixed in the ratio 5 : 3. The ratio of price of sugar and flour is 7 : 3. He earns \(66\frac{2}{3}\%\) profit. What is the cost price of sugar?

Asked on by | Votes 24 | Views: 794 | Tags: mixture problems     | quantitative aptitude     | Add Bounty

Ramsukh sells rasgulla at Rs. 15 per kg. A rasgulla is made up of flour and sugar mixed in the ratio 5 : 3. The ratio of price of sugar and flour is 7 : 3. He earns \(66\frac{2}{3}\%\) profit. What is the cost price of sugar?
1). Rs. 10/kg
2). Rs. 9/kg
3). Rs. 18/kg
4). Rs. 14/kg


Share on Facebook      Share on Whatsapp       Share on Twitter




1 answers

29 vote
Answered by on | Votes 29 |

Given, he earns a profit of $(66\frac{2}{3}\% .)$ Let C be the cost price per kg of the rasgulla.

$(\Rightarrow 66\frac{2}{3} = \frac{{15 - C}}{C} \times 100)$ 

⇒ 2C = 45 – 3C

⇒ C = 9

Let the cost price of one kg of sugar be 7x and that of one kg of flour be 3x. Since they are mixed in the ratio 3 : 5, we have:

$(9 = \frac{3}{8}\left( {7x} \right) + \frac{5}{8}\left( {3x} \right) = \frac{{36x}}{8})$ 

⇒ x = 2

Hence, price of sugar is Rs.14 /kg

Join Telegram Group




Answer This Question

Name:
Email:
Answer :
Sum of (2+5)
Submit:

Other Questions

1. Two equal glasses filled with mixtures of milk and water in the proportions of 2 : 1 and 1 : 1 respectively were emptied into third glass. What is the proportion of milk and water in the third glass?

2. A milk seller and a fruit seller are two enemies, jealous from each other’s progress. One day the fruit seller found that the milk seller had mixed 20% water in the milk. Out of fear he replaced one litre of mixture with one litre of pure milk which was worth Rs. 80. Milk seller had 20 litre of mixture initially, but still after fruit seller’s work on his mixture, he was in profit. Find his profit percentage.

3. A box contains red and blue balls in the ratio 5 : 3. If 16 random balls are replaced by 16 balls of blue colour, then the ratio of the number of balls of red and blue colour will be 3 : 5. How many balls of blue colour were there in the box initially?

4. A solution has 15% sugar. Another solution has 5% sugar. How many liters of the second solution must be added to 20 liters of the first solution to make a solution of 13% sugar?

5. A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:

6. Three bottles of equal capacity containing mixture of milk and water in ratio 2 : 5, 3 : 4 and 4 : 5 respectively. These three bottles are emptied into a large bottle. What will be the ratio of milk and water respectively in the large bottle?

7. While preparing sugar syrup, Adya was instructed by her instructor to mix sugar with water in the ratio 35 ∶ 29. However while preparing it she forgot the actual ratio and instead used the ratio 29 ∶ 35. She prepared ten kg of solution. How much sugar or water will she have to mix in order to prepare the mixture as instructed?

8. A medicine is made of chemical and water. Quantity of the chemical in the medicine is \(11\frac{1}{9}{\rm{\% \;}}\) is more than that of the water. The chemical is made from two different liquids A and B. Quantity of liquid A in the chemical is \(11\frac{1}{9}{\rm{\% }}\) less than that of liquid B. Find the ratio of liquid A, liquid B and water in the medicine.

9. A milkman bought milk at Rs. 2.50 per litre. He mixed 4 litres of water with the milk and sold it at Rs. 2.50 per litre, earning a profit of 5%. What was the quantity of milk that he had?

10. Two mixtures M1 and M2 contain mixture of two types of pulses P1 and P2. M1 and M2 contain P1 and P2 in the ratio of 4 : 5 and 8 : 3 respectively. M1 and M2 are mixed to form a third mixture. Now the ratio of P1 : P2 becomes 8 : 5 in the resultant mixture. Find the amount of pulses P2 in the M2, if the resultant quantity is 364 kg of pulses.