Ratio and Proportions Questions

Sanskar

Find the ratio of 24 to 36.
Express 45 minutes to 2 hours in the simplest form.
Find the ratio of 2.5 m to 250 cm.
The ratio of two numbers is 3:5. If the smaller number is 27, find the larger number.
Divide ₹500 in the ratio 3:2.
Find the ratio of 0.75 to 1.25.
The ratio of boys to girls in a class is 7:5. If there are 35 boys, find the number of girls.
Find the ratio of 1 kg to 250 g.
The ages of A and B are in the ratio 4:5. If A is 20 years old, find B’s age.
Simplify the ratio 150:225.

Find x: 12 : 18 = 20 : x
Are 4, 6, 8, 12 in proportion?
If 8 : 12 = 10 : x, find x.
If 15 pencils cost ₹60, what will 25 pencils cost?
If 8 workers build a wall in 24 days, how long will 12 workers take?
If 5 kg of rice costs ₹200, what is the cost of 12 kg rice?
If 3 pens cost ₹45, what is the cost of 10 pens?
If 12 oranges cost ₹60, find the cost of 25 oranges.
A car travels 120 km in 3 hours. How long will it take to travel 200 km at the same speed?
If 15 workers earn ₹7500, how much will 25 workers earn?

Divide ₹720 among A, B, and C in the ratio 2:3:4.
If 4 men complete a work in 20 days, how many days will 10 men take?
If 6 machines produce 180 items in 5 hours, how many items will 9 machines produce in 8 hours?
A sum of ₹900 is divided among P and Q in the ratio 5:4. Find their shares.
Find x: 24 : 36 = x : 90.
The ratio of length to breadth of a rectangle is 5:3. If the perimeter is 64 cm, find its length and breadth.
If 16 men finish a work in 15 days, in how many days will 20 men finish it?
A recipe requires 300 g of flour for 4 persons. How much flour is needed for 10 persons?
Find the fourth proportional to 6, 9, 12.
Find the third proportional to 8 and 32.

The ratio of the present ages of A and B is 3:4. After 5 years, the ratio will be 4:5. Find their present ages.
If ₹1200 is divided in the ratio 3:5:7, find each share.
A mixture contains milk and water in the ratio 7:3. If there are 20 liters of mixture, find the quantity of milk.
A train covers 180 km in 3 hours. How far will it go in 7 hours at the same speed?
A car travels 120 km using 8 liters of petrol. How much distance will it cover using 20 liters of petrol?
A sum of ₹6000 is divided between A and B in the ratio 7:3. Find each share.
The monthly incomes of A and B are in the ratio 5:7 and their expenses are in the ratio 3:5. If A saves ₹800 and B saves ₹1000, find their incomes.
If 12 men can finish a work in 15 days, in how many days will 18 men finish it?
A pole 5 m high casts a shadow of 2 m. Find the height of a pole that casts a shadow of 8 m.
A train travels 240 km in 4 hours. How much time will it take to cover 480 km at the same speed?

If x : y = 5 : 7 and y : z = 14 : 9, find x : y : z.
A sum of ₹840 is divided among A, B, C in the ratio 1/2 : 1/3 : 1/4. Find their shares.
If a:b = 2:3 and b:c = 4:5, find a:b:c.
If 3 men or 6 women can do a piece of work in 20 days, how many days will 6 men and 8 women take?
Find the mean proportional between 16 and 64.
If 10 pens cost ₹120, how much will 15 pens cost?
If the ratio of speed of two trains is 3:5, find the ratio of the times taken by them to cover the same distance.
Find the compound ratio of 2:3 and 4:5.
A sum of ₹720 is to be divided in the ratio 2:3:5:10. Find each share.
If 15 men can reap a field in 28 days, in how many days will 21 men reap it?