Ratio and Proportion

In an examination, the ratio of the number of candidates who passed, to those who failed was 5:2. If the number of failed candidates had been 14 more, then the ratio of the number of passed candidates to those who failed would have been 4:3. How many candidates passed the examination?

1.126

2.70

3.100

4.98

In a school, 5/12 of the number of students are girls and the rest are boys, 4/7^th of the number of boys are below 14 years of age, and 2/5 of the number of girls are 14 years or above 14 years of age is 1120, then the total number of students in the school is:

1.1820

2.1900

3.1920

4.1290

The ratio of man’s age to his father’s age is 4:5, and the ratio of his age to his son’s age is 6:1. Four years ago these ratios were 11:14 and 11:1, respectively. The ratio of the age of the grandfather to that of the grandson 12 years from now will be:

1.12:5

2.14:3

3.18:5

4.18:7

A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?

Rs. 7500

Rs. 8000

Rs. 8500

Rs. 9000

A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?

3 : 5 : 2

3 : 5 : 5

6 : 10 : 5

Data inadequate

A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?

Rs. 45

Rs. 50

Rs. 55

Rs. 60

A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?

Rs. 7500

Rs. 9000

Rs. 9500

Rs. 10,000