Ratio and Proportion

Question 11

The ratio of the speed of two trains is 7:8. If the second train covers 400 km in 4 h, find out the speed of the first train.

• 69.4 km/h
• 78.6 km/h
• 87.5 km/h
• 40.5 km/h

Question 12

Study the given graphs to answer these questions. The total production of wheat is 50 lakh tonnes. Production of wheat in different states of India is given : Abbreviations : U.P. = Uttar Pradesh, M.P. = Madhya Pradesh, A.P. = Andhra Pradesh, C.G. = ChhattisGarh.
What is the ratio of production by conventional method in A.P. to that by scientific method in U.P.?

• 484/949
• 99/260
• 51/260
• 48/77

Question 13

Details of prices of two items P and Q are presented in the above table. The ratio of cost of item P to cost of item Q is 3:4. Discount is calculated as the difference between the marked price and the selling price. The profit percentage is calculated as the ratio of the difference between selling price and cost, to the cost

Profit% = ((Selling price – Cost)/Cost)×100 

The discount on item Q, as a percentage of its marked price, is _______ .

• 25
• 12.5
• 10
• 5

Question 14

The number of units of a product sold in three different years and the respective net profits are presented in the figure above. The cost/unit in Year 3 was Re. 1, which was half the cost/unit in Year 2. The cost/unit in Year 3 was one-third of the cost/unit in Year 1. Taxes were paid on the selling price at 10%, 13%, and 15% respectively for the three years. Net profit is calculated as the difference between the selling price and the sum of cost and taxes paid in that year. The ratio of the selling price in Year 2 to the selling price in Year 3 is _________.

• 4:3
• 1:1
• 3:4
• 1:2

Question 15

In appreciative of social improvement completed in a town, a wealthy philanthropist decided to give gift of Rs. 750 to each male senior citizen and Rs. 1000 for female senior citizens. There are total 300 citizens and the 8/9^th of total men and 2/3^rd of total women claimed the gift. What is amount of money philanthropist paid?

• 15000

• 200000

• 115000

• 151000

Question 16

In a party, 60% of the invited guests are male and 40% are female. If 80% of the invited guests attended the party and if all the invited female guests attended, what would be the ratio of males to females among the attendees in the party?

• 2:3
• 1:1
• 3:2
• 2:1

Question 17

Present age of Vinod and Ashok are in ratio of 3:4 respectively. After 5 years, the ratio of their ages becomes 7:9 respectively. What is Ashok’s present age is ?

• 40 years
• 28 years
• 32 years
• 36 years

Question 18

At present, the ratio between ages of Ram and Shyam is 6:5 respectively. After 7 years, Shyam’s age will be 32 years. What is the present age of Ram?

• 32
• 40
• 30
• 36

Question 19

The present ages of A, B and C are in proportions 4:5:9. Nine years ago, sum of their ages was 45 years. Find their present ages in years

• 15,20,35
• 20,24,36
• 20,25,45
• 16,20,36