The quantity of chocolates that Arya has is 78% of the quantity that Naveen has. If the total number of chocolates with Arya and Naveen together is 89, determine how many chocolates Arya has.

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  1. 35
  2. 42
  3. 39
  4. 27
  5. 45

Answer (Detailed Solution Below)

Option 3 : 39
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Given:

Let the number of chocolates Naveen has = N

The number of chocolates Arya has = 78% of N = 0.78N

Total number of chocolates = 89

Formula used:

Arya's chocolates + Naveen's chocolates = Total chocolates

0.78N + N = 89

Calculations:

1.78N = 89

⇒ N = 89/1.78

⇒ N = 50

Number of chocolates Arya has = 0.78 × 50 = 39

∴ Arya has 39 chocolates.

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