R pays ₹100 to P with ₹5, ₹2 and ₹1 coins. The total number of coins used for paying are 40. What is the number of coins of denomination ₹5 in the payment?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 13.
₹1 : ₹2 : ₹5
Numbers x : y : z
x + y + z = 40..............1
x + 2y + 5z = 100.............2
Equation 2 - Equation 1
y + 4z = 60
From options:
Put z = 13, then y = 8
x = 40 - 13 - 8 = 19
From equation 1
19 + 16 + 65 = 100
100 = 100
So, the number of coins of denomination ₹5 in the payment = 13