Question:medium
Nisha went to buy three types of stationery products, each of them were priced at Rs. 5, Rs, 2 and Rs. 1 respectively. She purchased all three types of products in more than one quantity and gave Rs. 20 to the shopkeeper. Since the shopkeeper had no change with him/her; he/she gave Nisha three more products of price Rs. 1 each. Find out the number of products with Nisha at the end of the transaction.
Nisha went to buy three types of stationery products, each of them were priced at Rs. 5, Rs, 2 and Rs. 1 respectively. She purchased all three types of products in more than one quantity and gave Rs. 20 to the shopkeeper. Since the shopkeeper had no change with him/her; he/she gave Nisha three more products of price Rs. 1 each. Find out the number of products with Nisha at the end of the transaction.
Updated On: Aug 18, 2026
- 8
- 12
- 11
- 10
Show Solution
The Correct Option is D
Solution and Explanation
Step 1: Actual cost of stationery bought \(=20-3=Rs.\ 17\), since the 3 extra Rs.1 items replaced Rs.3 change.
Step 2: With \(a,b,c\geq2\), solving \(5a+2b+c=17\) gives the unique solution \(a=2,b=2,c=3\).
Step 3: Total items \(=2+2+3+3(\text{extra})=10\).
\[ \boxed{10} \]
Step 2: With \(a,b,c\geq2\), solving \(5a+2b+c=17\) gives the unique solution \(a=2,b=2,c=3\).
Step 3: Total items \(=2+2+3+3(\text{extra})=10\).
\[ \boxed{10} \]
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