Amit has currency notes of denominations Rs20, Rs10 and Rs 50 in his purse. The number of Rs50 notes exceeds two times the number of Rs10 notes by one. The number of Rs20 notes are 5 less than the number of Rs10 notes. If the total value of the money in the purse is Rs 860, estimate the number of each variety of notes Amit has.
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Solution :-
Let us assume that Rs.10 notes are x .
so,
→ Rs.10 total notes = x
→ Rs.20 total notes = (x - 5)
→ Rs.50 total notes = (2x + 1)
then,
→ Total money in purse = Rs.860
→ 10 * x + 20(x - 5) + 50(2x + 1) = 860
→ 10x + 20x - 100 + 100x + 50 = 860
→ 130x - 50 = 860
→ 130x = 860 + 50
→ 130x = 910
→ x = 7
therefore,
→ Rs.10 total notes = x = 7 notes .
→ Rs.20 total notes = (x - 5) = 7 - 5 = 2 notes
→ Rs.50 total notes = (2x + 1) = 7 * 2 + 1 = 15 notes .
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