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Let the number of 2-rupee coins be x.
Then, the number of 5-rupee coins will be x - 1
Total amount of 2-rupee coins = ₹2 * x
= ₹2x
Total amount of 5-rupee coins = ₹5 * ( x-1 )
= ₹5x - 5
Total amount in money box = ₹2x + ( ₹5x - 5 )
= ₹ 7x -5
{ if we have to make this amount a multiple of 10 then ₹2 's quantity should be a multiple of 10, and the quantity of ₹5 should be even to be a multiple of 10 }
Therfore, the quantity of ₹2 coins can be 5 (₹2 * 5 = ₹10, a multiple of 10)
and
₹5 coins is 1 less than the quantity of ₹2 coins so
The number of ₹ 5 coins will be = (5 - 1)
= 4
{ checking, (₹2 * 5) + (₹5 * 4) = ₹10 + ₹20 = ₹30
and ₹ 30 is a multiple of 10 }
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