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NTPC Graduate Tier 1 2016 Shift 2 📅 02 Apr, 2016

There are 90 coins, comprising of 5 and 10 paisa coins. The value of all the coins is Rs. 7. How many 5 paisa coins are there?

A
50
B
45
C
40
D
35
Result Summary
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APEDIA

NTPC Graduate Tier 1
2016 • 02 Apr, 2016 • Shift 2
There are 90 coins, comprising of 5 and 10 paisa coins. The value of all the coins is Rs. 7. How many 5 paisa coins are there?
Correct Answer
40
Setting up Variables: Let the number of 5 paisa coins be denoted as 'x', and the number of 10 paisa coins be 'y'. The total physical coin count gives us Equatio......
💡 Analysis & Explanation
Setting up Variables
Let the number of 5 paisa coins be denoted as 'x', and the number of 10 paisa coins be 'y'. The total physical coin count gives us Equation 1: x + y = 90.
Value Conversion
Convert the total rupee value into paisa to maintain consistent units. Rs. 7 equals 700 paisa.
Formulating the Value Equation
The total monetary value gives us Equation 2: 5x + 10y = 700.
Substitution Method
From Eq 1, we know y = 90 - x. Substituting this into Eq 2 results in: 5x + 10(90 - x) = 700.
Solving for x
Expanding it gives 5x + 900 - 10x = 700. This simplifies to -5x = -200, which further reduces to x = 40.
Conclusion
The exact number of 5 paisa coins is 40.