Question:
Once I had been to the post office to buy five-rupee, two-rupee and one-rupee stamps. I paid the clerk Rs. 20, and since he had no change, he gave me three more one-rupee stamps. If the number of stamps of each type that I had ordered initially was more than one, what was the total number of stamps that I bought?
Once I had been to the post office to buy five-rupee, two-rupee and one-rupee stamps. I paid the clerk Rs. 20, and since he had no change, he gave me three more one-rupee stamps. If the number of stamps of each type that I had ordered initially was more than one, what was the total number of stamps that I bought?
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Use integer equation solving with constraints for such distribution problems.
Updated On: Aug 6, 2025
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- 9
- 12
- 8
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The Correct Option is C
Solution and Explanation
Let numbers of Rs. 5, Rs. 2, Rs. 1 stamps be $a,b,c$ initially.
Cost: $5a + 2b + 1c = 20$. Clerk gave 3 extra Rs. 1 stamps, so total Rs. 1 stamps bought = $c+3$. Possible integer solution with all>1: $a=2, b=3, c=4$ → cost = $10+6+4=20$, total stamps = $2+3+(4+3) = 12$.
Cost: $5a + 2b + 1c = 20$. Clerk gave 3 extra Rs. 1 stamps, so total Rs. 1 stamps bought = $c+3$. Possible integer solution with all>1: $a=2, b=3, c=4$ → cost = $10+6+4=20$, total stamps = $2+3+(4+3) = 12$.
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