The weight of an object is 3.06 kg. Find the total weight of 48 similar objects.
Answer
Total weight = Weight of one object × Number of objects
= 3.06 × 48 = 146.88 kg
Hence, the total weight of 48 objects is 146.88 kg.
Find the cost of 17.5 m cloth at the rate of ₹ 112.50 per metre.
Answer
Cost of cloth = Rate per metre × Length
= ₹ 112.50 × 17.5 = ₹ 1968.75
Hence, the cost of 17.5 m cloth is ₹ 1968.75.
One kilogram of oil costs ₹ 73.40. Find the cost of 9.75 kilograms of the oil.
Answer
Cost of oil = Cost per kg × Weight
= ₹ 73.40 × 9.75 = ₹ 715.65
Hence, the cost of 9.75 kg of oil is ₹ 715.65.
Total weight of 8 identical objects is 51.2 kg. Find the weight of each object.
Answer
Weight of each object = Total weight ÷ Number of objects
= 51.2 ÷ 8
= 6.4 kg
Hence, the weight of each object is 6.4 kg.
18.5 m of cloth costs ₹ 666. Find the cost of 3.8 m cloth.
Answer
Given,
Cost of 18.5 m of cloth = ₹ 666
Cost of 1 m cloth = ₹ 666 ÷ 18.5 = ₹ 36
Cost of 3.8 m cloth = ₹ 36 × 3.8 = ₹ 136.80
Hence, the cost of 3.8 m cloth is ₹ 136.80.
Find the value of:
(i) 0.5 of ₹ 7.60 + 1.62 of ₹ 30
(ii) 2.3 of 7.3 kg + 0.9 of 0.48 kg
(iii) 6.25 of 8.4 − 4.7 of 3.24
(iv) 0.98 of 235 − 0.09 of 3.2
Answer
(i) Solving,
0.5 of ₹ 7.60 + 1.62 of ₹ 30 = (0.5 × 7.60) + (1.62 × 30)
= 3.80 + 48.60 = ₹ 52.40
Hence, the value is ₹ 52.40.
(ii) Solving,
2.3 of 7.3 kg + 0.9 of 0.48 kg = (2.3 × 7.3) + (0.9 × 0.48)
= 16.79 + 0.432 = 17.222 kg
Hence, the value is 17.222 kg.
(iii) Solving,
6.25 of 8.4 - 4.7 of 3.24 = (6.25 × 8.4) - (4.7 × 3.24)
= 52.5 - 15.228 = 37.272
Hence, the value is 37.272.
(iv) Solving,
0.98 of 235 - 0.09 of 3.2 = (0.98 × 235) - (0.09 × 3.2)
= 230.3 - 0.288 = 230.012
Hence, the value is 230.012.
Evaluate:
(i) 5.6 − 1.5 of 3.4
(ii) 4.8 ÷ 0.04 of 5
(iii) 0.72 of 80 ÷ 0.2
(iv) 0.72 ÷ 80 of 0.2
(v) 6.45 ÷ (3.9 − 1.75)
(vi) 0.12 of (0.104 − 0.02) + 0.36 × 0.5
Answer
Following the order of operations (here 'of' is performed before ÷ and ×):
(i) Solving,
5.6 - 1.5 of 3.4 = 5.6 - (1.5 × 3.4)
= 5.6 - 5.1 = 0.5
Hence, 5.6 - 1.5 of 3.4 = 0.5
(ii) Solving,
4.8 ÷ 0.04 of 5 = 4.8 ÷ (0.04 × 5)
Hence, 4.8 ÷ 0.04 of 5 = 24
(iii) Solving,
0.72 of 80 ÷ 0.2 = (0.72 × 80) ÷ 0.2
Hence, 0.72 of 80 ÷ 0.2 = 288
(iv) Solving,
0.72 ÷ 80 of 0.2 = 0.72 ÷ (80 × 0.2)
= 0.72 ÷ 16 = 0.045
Hence, 0.72 ÷ 80 of 0.2 = 0.045
(v) Solving,
6.45 ÷ (3.9 - 1.75) = 6.45 ÷ 2.15
Hence, 6.45 ÷ (3.9 - 1.75) = 3
(vi) Solving,
0.12 of (0.104 - 0.02) + 0.36 × 0.5 = 0.12 × 0.084 + 0.18
= 0.01008 + 0.18 = 0.19008
Hence, 0.12 of (0.104 - 0.02) + 0.36 × 0.5 = 0.19008