In a grocery shop box A contains tea worth Rs.300 pr kg and box B contains tea worth Rs.400 pr kg. If both box A and B are mixed in the ratio 5 : 6 then the price of mixture pr kg is approximately:

  1. Rs.370
  2. Rs.355
  3. Rs.350
  4. Rs.360
  5. None of these

Answer (Detailed Solution Below)

Option 2 : Rs.355
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Detailed Solution

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Given:

Cost of 1 kg tea of box A (cheaper) = Rs.300

Cost of 1 kg tea of box B (dearer) = Rs.400

Formula used:

Rule of alligation 

Calculation:

Let the mean price be Rs. X

F1 kartikey Ravi 26.04.21 D1

So, (Cheaper  quantity) : (Dearer quantity) = (d- m) : (m - c) = (400 - X) : (X - 300)

According to question,

Given ratio = 5/6

So, 5/6 = (400 - X)/(X- 300)

⇒ 11x = 3,900

⇒ x = 354.54 ≈ 355

∴ The price of mixture  of 1 kg tea is Rs.355

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