Ratio & Proportion, Alligation or Mixture

P and O invested in a business. The profit earned was divided in the ratio 2: 3. If P invested Tk. 40,000 the amount invested by Q is

Tom, Dick and Harry went for lunch to a restaurant. Tom had $100 with him, Dick had $60 and Harry had $40. They got a bill for $104 and decided to give a tip of $16. They further decided to share the total expenses in the ratio of the amounts of money each carried. The amount of money which Tom paid more than what Harry paid is-

If 40% of a number is equal to two - third of another number, what is the ratio of first number to the second number?

What is the ratio of 3/4 to the product 4(3/4)?

The monthly incomes of two persons are in the ratio 4 : 5 and their monthly expenditures are in the ratio of 7 : 9. If each saves BDT 50 per month, find their monthly income.

A man spent 1/2 of his money and then lost 1/4 of the reminder. He was left with Tk. 3,600. How much did he start with?

The ratio of male students to female students in a class is 13 to 19. If there are 224 people in the class, including one teacher, one administrator and thirty evaluations. How many people in the class are male students?

A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:

If a carton containing a dozen mirrors is dropped. which of the following cannot be the ratio of broken mirrors to unbroken mirrors?

A 60 litre mixture of sugar and water contains sugar and water in the ratio 2 : 3. How many litres of the mixture should be replaced by sugar so that the ratio of sugar and water becomes 1 : 1?

A mixture of 20 kg of spirit and water contains 10% water. How much water must be added to mixture to raise the percentage of water to 25%

In a mixture, the ratio of the milk and water is 6: 5. When 22 liter mixture is replaced by water, the ratio becomes 9: 13. What is the quantity of water after replacement?

A 40-meter long rope is cut into two unequal pieces. If one piece is 18 meter longer than the other, what is the length (in meter) of the shorter piece?

If x is 90% of y then what percent of x is y?

In a class, the number of girls is 20% more than that of boys. The strength of the class is 66. If 4 more girls are admitted to the class, the ratio of the number of boys to that of the girls is -

A mixture of 20 kg of spirit and water contains 10% water. How much water must be added to this mixture to raise the percentage of water to 25%?

There are two numbers. 1st number is 12 more than the 2nd number. The average of the two numbers is 19. If 2 is added in both numbers, find the ratio of the numbers.

Silver is 17 times as heavy as water and copper is 7 times as heavy as water. In what ratio should these be mixed to get alloy 13 times as heavy as water?

A container is 1/2 full. When 8 gallons is removed the container is 1/10 full. What is the capacity of the container in gallon?

Karim weighs 65.7 kg. If he reduces his weight in the ratio 5 : 4, find his reduced weight in kg.