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A box containing the denominations of fifty paise coins, two rupee coins and five rupee coins amount to Rs.1275. There are equal number of coins in all denominations. What is the total number of coins in the box?

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UP Police SI (दरोगा) Official PYP (Held On: 15 Nov 2021 Shift 3)
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  1. 180
  2. 510
  3. 170
  4. 540

Answer (Detailed Solution Below)

Option 2 : 510
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Detailed Solution

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Given: A box containing the denominations of fifty paise coins, two rupee coins, and five rupee coins amount to Rs.1275. There are an equal number of coins in all denominations.

Let the number of coins in each denomination be x.

The value of fifty paise coins = 0.50x0.50x

The value of two rupee coins = 2x2x

The value of five rupee coins = 5x5x

According to the question,

0.50x + 2x + 5x = 1275

7.5x = 1275

x = 170

As there are an equal number of coins in all denominations, the total number of coins in the box is '3x':

3x Total coins = 3 × 170 → 510

Hence, "Option 2" is the correct answer.

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