Question:

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: Oct 4, 2024
  • 8
  • 12
  • 11
  • 10
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The Correct Option is D

Solution and Explanation

Nisha buys products priced at Rs. 5, Rs. 2, and Rs. 1 in quantities aa, bb, and cc respectively, with the total cost being Rs. 20:
5a+2b+1c=205a + 2b + 1c = 20
She receives 3 additional Rs. 1 products because the shopkeeper had no change:
cnew=c+3c_{\text{new}} = c + 3
Total number of products Nisha has:
a+b+cnew=a+b+c+3a + b + c_{\text{new}} = a + b + c + 3
Given valid aa, bb, and cc that solve the equation, one such solution is a=2a = 2, b=3b = 3, and c=4c = 4:
2+3+(4+3)=2+3+7=122 + 3 + (4 + 3) = 2 + 3 + 7 = 12
Thus, the number of products with Nisha at the end is:
Answer: D (10)
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