Page 273 - ICSE Math 7

Self-Testing Exercise 2

RATIO, PROPORTION AND ARITHMETICAL PROBLEMS

1. Divide ` 2,00,000 in the ratio 3 : 5.

2. Find the mean proportional to 81 and 64.

1 1 1
3. Divide 520 coins among X, Y and Z in the ratio : : .
2 3 4
4. 6 bags of wheat of equal size weigh 45 kg. How many such bags of wheat will weigh
67.5 kg?

5. Find the number whose 52% is 416.

–1
6. Avinash ran at a speed of 8 m s along the side of a park. If the park is square in shape and he
took 2 minutes 30 seconds to cover the perimeter once, find the area of the park.

7. If 20% is lost by selling a washing machine for ` 16,000, what did it cost?

–1
–1
8. A train covers first 49 km at the speed of 49 km h and the next 50 km at the speed of 60 km h .
Find its average speed during the whole journey.

9. If a sum of ` 500 reduces to ` 425, then find the decrease percent.

10. Mahima sold two watches for ` 990 each. She gained 10% on one and lost 10% on the other.
Find her net gain or loss percent.

11. Rajesh gained 40% by selling a car for ` 3,15,000. Find the cost price of the car.

12. Rishabh borrowed some money at the rate of 6% per annum. After some time, he settled the
debt by paying ` 14,632. If the total interest was ` 2,232, find the time period.

13. Ariba invests ` 8,200 and ` 4,700 at the same rate of interest and receives ` 70 more in one
investment than in the other every year. What is the rate of interest?

14. Megha bought a watch for ` 1,200. For how much she sell it to make a profit of 8%?

15. Find the principal that will amount to ` 4,830 in 3 years at the rate of 5% per annum.

1 1
16. Find the fourth proportional to , 5 and .
18 6

259