1.A rectangular plot is represented on a plan drawn at a scale of 1:500. If the dimensions on the plan are 30 cm in length and 20 cm in width, what is the real area of the plot?
2.A rectangle has its length and width in the ratio 5:4. If the area of the rectangle is 180 cm², what is its perimeter?
3.How should a profit of Rs. 8000 be shared among X, Y, and Z if X invests Rs. 20,000 from the beginning, Y invests Rs. 7,500 for 4 months, and Z invests Rs. 15,000 starting 3 months after the business begins?
4.Given the ratios M to N is 3:4, N to O is 5:7, and O to P is 7:9, what is the ratio of M to P?
5.A triangle has a perimeter of 81 cm, and its sides are proportional to 4:3:2. What is the length of the longest side?
6.In a class, the ratio of boys to girls is 11:13. This year, 4 boys and 8 girls join the class, changing the ratio to 4:5. What is the total number of students in the class now?
7.In a class of 90 students, the ratio of boys to girls is 7 to 8. How many boys are there in the class?
8.Changaz invests Rs.6000 for an entire year in a business partnership, while Nasir contributes Rs.3000 for 6 months. If the total profit is Rs.240, what portion of the profit does Nasir receive?
9.If x percent of 200 equals y percent of 250, what is the ratio of y to x?
10.A collection of 1 rupee, 2 rupee, and 5 rupee coins totals Rs. 264. If their quantities are in the ratio 3:5:4 respectively, how many 1 rupee coins are there?
11.How should Rs. 2000 be split into two parts so that their ratio is 3 to 2?
12.Two numbers are in the ratio 5 to 9. If 5 is subtracted from each number, the new ratio becomes 5 to 11. What are the original numbers?
13.What is the third proportional to the numbers 3.5 and 5.6?
14.A cookie recipe requires combining 400 grams of flour with 500 grams of sugar. If you only have 300 grams of flour available, how much sugar should you use to keep the same ratio?
15.Given three quantities X, Y, and Z of the same type where the ratio of X to Y is 5 to 8, and the ratio of Y to Z is 4 to 7, what is the ratio of X to Z?
16.Two varieties of rice are priced at Rs.13 per kg and Rs.19 per kg respectively. In what ratio should these two types be combined so that the resulting mixture costs Rs.14.2 per kg?
17.Four individuals A, B, C, and D share a sum of money in the ratio 7:4:3:2 respectively. If D's share is Rs. 500 less than A's share, what is the total amount of money?
18.If x is 20% greater than z and y is 80% greater than z, what is the ratio of x to y?
19.Find the value of x that satisfies the proportion: (2x) : 25 = 6 : (x/3).
20.Which of the following ratios cannot represent two natural numbers whose sum is 72?