1.If 40% of one number equals two-thirds of a different number, what is the ratio of the first number to the second number?
2.The number of seats allocated for Mathematics, Physics, and Biology in a school are in the ratio 5:7:8. If these seats are increased by 40%, 50%, and 75% respectively, what will be the new ratio of seats?
3.A collection of coins contains 25 paise, 10 paise, and 5 paise coins in the ratio 1 : 2 : 3. If the total amount is Rs. 30, how many 5 paise coins are present?
4.Two numbers have a ratio of 3 to 5. After subtracting 9 from each number, their ratio becomes 12 to 23. What is the value of the smaller number?
5.If two numbers are 20% and 50% greater than a third number respectively, what is the ratio between these two numbers?
6.A certain amount of money is to be divided among A, B, C, and D in the ratio 5 : 2 : 4 : 3. If C receives Rs. 1000 more than D, what is the amount allocated to B?
7.In a college, the ratio of boys to girls is 7 to 8. If the number of boys increases by 20% and the number of girls increases by 10%, what will be the new ratio of boys to girls?
8.The total of three numbers is 98. Given that the ratio of the first number to the second is 2 to 3, and the ratio of the second number to the third is 5 to 8, what is the value of the second number?