Ratio and Proportion Exercise 2

The ratio of the number of boys and girls in a college is 7: 8. If the percentage increase in the number of boys and girls be 20% and 10 % respectively, what will be the new ratio?

In what proportion must a number be divided so that ¼ of the first part and ⅓ of the second part are together equal to ½ of the original number?

Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 28.8 kg of zinc has been consumed in it?

The Binary Ice-cream Shopper sells two flavours : Vanilla and Chocolate. On Friday, the ratio of Vanilla cones sold to Chocolate cones sold was 2 : 3. If the store had sold 4 more Vanilla cones, then, the ratio of Vanilla cones sold to the Chocolate cones sold would have been 3 : 4. How many Vanilla cones did the store sell on Friday?

The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is:

The ratio of number of ladies to gents at a party was 1 : 2, but when 2 ladies and 2 gents left, the ratio became 1 : 3. How many people were originally present at the party?

A man divides his property so that his son’s share to his wife’s and the wife’s share to his daughter are both in the ratio 3 : 1. If the daughter gets ₹10,000 less than the son, find the total worth of the property.

Mrs X spends ₹535 in purchasing some shirts and ties for her husband. If shirts cost ₹43 each and the ties cost ₹21 each, then what is the ratio of the shirts to the ties, that are purchased?

The ratio between the number of passengers travelling by I and II class between the two railway stations is 1 : 50, whereas the ratio of I and II class fares between the same stations is 3 : 1. If on a particular day, ₹1325 revenue collected from the passengers travelling between these stations, then what was the amount collected from the II class passengers?

Railway fares of 1st, 2nd and 3rd classes between two stations were in the ratio of 8 : 6 : 3. The fares of 1st and 2nd class were subsequently reduced by 1/6 and 1/12, respectively. If during a year, the ratio between the passengers of 1st, 2nd and 3rd classes was 9 : 12 : 26 and total amount collected by the sale of tickets was ₹1088, then find the collection from the passengers of 1st, class.

The income of A and B are in the ratio 3 : 2 and expenses are in the ratio 5 : 3. If both save ₹200, what is the income of A?

A sum of money is divided among A, B and C in the ratio of 3¾ : 4 : 5.5. If the lowest share is ₹30, then the total amount of money is

At a start of a seminar, the ratio of the number of male participants to the number of female participants was 3 : 1. During the tea break 16 participants left and 6 more female participants registered. The ratio of the male to the female participants now became 2 : 1. What was the total number of participants at the start of the seminar?

The ratio of the present ages of Sushma and Karishma is 6:7 respectively. The ratio of their ages 8 years hence would be 8:9 respectively. What would be the respective ratio of their ages after 12 years?

The ratio of the present ages of Smita and Kavita is 3:8 respectively. Seven years hence the respective ratio of their ages will be 4:9. What is Kavita’s present age?

The average age of a man and his son is 48 years. The ratio of their ages is 5 : 3 respectively. What is the son’s age?

The ages of Nishi and Vinnee are in the ratio of 6 : 5 respectively. After 9 years the ratio of their ages will be 9 : 8. What is the difference in their ages?

The difference between the present ages of Arun and Deepak is 14 years. Seven years ago the ratio of their ages was 5 : 7 respectively. What is Deepak’s present age?

At present Meena is eight times her daughter’s age. Eight years from now, the ratio of the ages of Meena and her daughter will be 10 : 3 respectively. What is Meena’s present age?

The ratio of the ages of a father and son is 17 : 7 respectively. 6 years ago the ratio of their ages was 3 : 1 respectively. What is the father’s present age?

The respective ratio of the present ages of Swati and Trupti is 4: 5. Six years hence the respective ratio of their ages will be 6 : 7. What is the difference between their ages?

The average age of three boys is 25 years and their ages are in the proportion 3: 5 : 7. The age of the youngest boy is:

A bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. If the total value is ₹35, how many coins of each type are there?