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Questions below followed by two quantities. Find the relation between them. Children Weight of the children (kg) Number of ladoos Ankit  55  10 Rahul  -  6 Deepak  54  14 Faizal  56  12 Kamal  -  8   Quantity I: If the weight of Rahul is four times the average of ladoos all the five have then what is the average weight of the Rahul and Faizal? Quantity II: Average of all the five students is 50.6 kg. If Kamal is heavier than Rahul by the same number the number of ladoos he has then what is the weight of Kamal?

Questions below followed by two quantities. Find the relation between them. Children Weight of the children (kg) Number of ladoos Ankit  55  10 Rahul  -  6 Deepak  54  14 Faizal  56  12 Kamal  -  8   Quantity I: If the weight of Rahul is four times the average of ladoos all the five have then what is the average weight of the Rahul and Faizal? Quantity II: Average of all the five students is 50.6 kg. If Kamal is heavier than Rahul by the same number the number of ladoos he has then what is the weight of Kamal? Correct Answer Quantity I = Quantity II 

Quantity I:

Average of ladoos all the five have = (10 + 6 + 14 + 12 + 8)/5 = 50/5 = 10

Weight of Rahul = 4 × Average of ladoos

Weight of Rahul = 4 × 10 = 40 kg

Weight of Faizal = 56 kg

Average weight of Rahul and Faizal = (40 + 56)/2 = 96/2 = 48 kg

Quantity II:

Let Kamal’s weight be y and Rahul’s weight be x

According to question,

55 + x + 54 + 56 + y/5 = 50.6

⇒ 165 + x + y = 253

⇒ x + y = 253 - 165

⇒ x + y = 88

Number of ladoos Kamal have = 8

Kamal’s weight = x + 8

⇒ y = x + 8

⇒ x + x + 8 = 88

⇒ 2x = 88 - 8

⇒ x = 40 kg

Kamal’s weight = x + 8 = 40 + 8 = 48 kg

∴ Quantity I = Quantity II

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