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State True/ False:

Suman purchased 5kg 75 g of fruits and 3 kg 465 g of vegetables, and put them in a bag. If this bag with these contents weighs 9 kg, the weight of the empty bag is 460g.

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True

False

answer is A.

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Detailed Solution

Given that,
Weight of fruits

= 5 k g 75 g

Weight of vegetables

= 3 k g 465 k g

I kg=1000g

⇒ 1 g = 11000 k g

5 k g 75 g = 5 k g + 751000 k g ⇒ 5 k g 75 g = 5 k g + 0.075 k g ⇒ 5 k g 75 g = 5.075 k g

3 k g 465 g = 3 k g + 4651000 k g ⇒ 3 k g 465 g = 3 k g + 0.465 k g ⇒ 3 k g 465 g = 3.465 k g

Total weight

= 5.075 k g + 3.465 k g

⇒ T o t a l weight= 8.540 k g

.
Gross weight of bag with these things = 9 kg = 9.000 kg.
Weight of the empty bag

= 9.000 k g − 8.540 k g

⇒ W e i g h t o f t h e e m p t y b a g = 0.460 k g

1kg= 1000 g
0.460kg=0.460

×

1000
0.460kg=460g
Hence, the weight of an empty bag is 460 g.
Thus, the given statement is true.
Therefore, option 1 is correct.

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