Mathematics (Ratio and Proportion অনুপাত এবং সমানুপাত)

1) The ratio of the number of boys to girls in a school is 7:9. If there are 140 more girls than boys, how many students are there in total?

2) Find the mean proportion of 3 and 27.

3) If a:b = 2:3 and b:c = 4:5, what is a:c?

4) If a:b = 4:5 and b:c = 6:7, what is a:c?

5) The ratio of the marked price to the cost price of an article is 5:4. If the difference between the marked price and the cost price is ₹100, what is the marked price?

6) A mixture contains alcohol and water in the ratio 3:2. If 10 liters of water is added, the ratio becomes 1:1. Find the initial quantity of alcohol.

7) If 6 is 30% of a number, what is the number?

8) What is the third proportion to 15 and 24?

9) A sum of money is to be
distributed among P, Q, R and S in the
proportion 2:5:6:7, If R get Rs.500 more
than S. What is P’s share?
Options:

10) 2 The fourth proportional to the numbers 5, 6 and 8 is: