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 A man has Rs . 960 in denominations of one rupee coins , five rupee coins and ten rupee coins . The number of coins in each denomination is equal . What is the total number of coins

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CSIR CERI JSA Official Paper-I (Held On: 2022)
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  1. 90
  2. 120
  3. 150
  4. 180

Answer (Detailed Solution Below)

Option 4 : 180
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Detailed Solution

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Given:

Total amount = Rs. 960

Denominations of coins: 1 rupee, 5 rupees, and 10 rupees

Number of coins in each denomination is equal

Formula Used:

Total value = (Number of coins) × (Denomination)

Calculation:

Let the number of coins in each denomination be x.

Value of 1 rupee coins = 1 × x = x

Value of 5 rupee coins = 5 × x = 5x

Value of 10 rupee coins = 10 × x = 10x

Total value = x + 5x + 10x = 16x

Given total value = Rs. 960

⇒ 16x = 960

⇒ x = 960 / 16

⇒ x = 60

Total number of coins = 3x = 3 × 60 = 180

∴ The total number of coins is 180.

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