Page 230 - Maths Skills - 7

228 Maths

Chapter - 5: Comparing Quantities
Boot-up

A. 1. (ii) 2. (iii) 3. (i) 4. (iv) B. 1. 1 : 6 2. Yes 3. ` 135 4. 8
C. 1. T 2. F 3. T 4. T
Exercise - 5.1

1. (i) 10 : 1 (ii) 1 : 6 (iii) 720 : 7 (iv) 1 : 3 (v) 8 : 5 (vi) 40 : 1 (vii) 50 : 1 (viii) 5 : 9
(ix) 49 : 73 (x) 2 : 5 2. ` 750, ` 450 3. 1540 km 4. 41 : 29 5. 1600 kg (approx.) 6. 150 tickets
45 3 5 9 1
7. 8. Section A 9. (i) (ii) (iii) (iv) 10. 14 m 11. 175 kg
8 7 6 14 4
12. (i) 7 (ii) 3.5 (iii) 38 (iv) 55
Exercise - 5.2

1. (i) 60 minutes (ii) 4500 sheets 2. ` 4840 3. 342 minutes 4. 185.5 kg 5. 30 litres, 675 km 6. 65 m
7. ` 30 8. 25 seconds 9. 125 kg 10. 486.75 km
Exercise - 5.3

1. (i) 8:25 (ii) 1:16 (iii) 7:2000 (iv) 2:1 (v) 47:300 (vi) 1:2000 (vii) 51:50 (viii) 61:400
(ix) 1:400 2. (i) 0.25 (ii) 0.003 (iii) 0.0125 (iv) 0.0233 (v) 1.45 (vi) 0.0125 (vii) 0.00035
3 1 29 1 3 13
(viii) 0.0125 (ix) 0.36 3. (i) (ii) (iii) (iv) (v) (vi)
10 8 2000 200 1250 400
9 77 7
(vii) (viii) (ix) 4. (i) ` 25 (ii) ` 8.10 (iii) 22.5 m (iv) 2.76 (v) 1.25 km
100 300 5
2
(vi) 2.45 km (vii) 7 kg (viii) 2 litres 5. (i) 51% (ii) 260% (iii) 187.5% (iv) 625% (v) 14 %
7
6. (i) 4% (ii) 235% (iii) 750% (iv) 23% (v) 0.08% (vi) 725% (vii) 7% (viii) 120.4%
2 1 4 2
(ix) 1520% 7. (i) 20% (ii) 66 % (iii) 33 % (iv) 80% (v) 8 % 8. 61 % 9. 8.4
3 3 5 3
1
10. 400 11. 400000 12. Hence, the required number is 50. 13. 50% 14. 79 %
6
4 2
15. (i) 20% (ii) 3.2% (iii) 9.375% (iv) 10% (v) 16 % (vi) 6 %
11 3
Exercise - 5.4

1. Sunita performance is better as she scored 89.33% whereas Amar got 84% 2. 560 girls 3. ` 402.50 4. 102.5 crores
5. 325 6. 11.25 km by bus and 3.75 km by foot 7. Total employees = 300, Female employees = 36
19 1 4
8. 61 % 9. 12 % 10. 10% 11. 8% 12. 12 km/h, 132 km/h 13. (i) win% = 44
21 2 9
2
(ii) lose% = 22 14. 27%, 36 more marks he should get to pass the examination
9
15. Rohit’s performance is better than Raman

Exercise - 5.5
11 2
1. (i) Profit (`18) (ii) Loss (`300) (iii) Profit (` 510) (iv) Loss (` 560) 2. (i) 3 % (ii) 4 % (iii) 8%
23 7
2 70 1
(iv) 16 % 3. Loss, 10 % 4. 25% 5. 33 % loss 6. Loss = ` 4, Loss % = 4
3 73 3
7. C.P. = `200, Profit % = 37.5 8. Loss % = 20 9. C.P. = ` 19200 10. (i) ` 222 (ii) ` 277.50
1
11. C.P. = `200, Actual Profit = `30 12. ` 11 per kg 13. ` 1.80 14. 23 % 15. ` 7700
13
Exercise - 5.6
1. 4% 2. ` 1600 3. ` 525 4. 5 years 5. ` 192 6. ` 27.30
7. Interest ` 108, Amount to be paid after 3 years = ` 708 8. ` 2000 9. ` 285 10. ` 1280 11. ` 2631.20 12. 20 years