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Answer :
As per the ratio given,
Let the number of ₹5 coins be x.
Number of ₹2 coins = 3x
Total number of coins = 160
Number of ₹1 coin = 160 – (x + 3x) = 160 – 4x
Converting the number of coins into rupees, we have
x coins of ₹5 amount = ₹5x
3x coins of ₹2 amount = ₹ 3x × 2 = ₹6x
and (160 – 4x) coins of ₹ 1 amount =₹1 × (160 – 4x) =₹(160 – 4x)
As per the conditions given, we got
5x + 6x + 160 – 4x = 300
\(\Rightarrow\) 7x + 160 = 300
\(\Rightarrow\) 7x = 300 – 160 (transposing 160 to RHS)
\(\Rightarrow\) 7x = 140
\(\Rightarrow\) x = 140 ÷ 7 (transposing 7 to RHS)
\(\Rightarrow\) x = 20
Thus, number of ? 5 coins = 20
Number of ₹2 coins = 3 × 20 = 60
and Number of ₹ 1 coins = 160 – 4 × 20 = 160 – 80 = 80