Question

At their wedding, Riz and Rekha received gifts amounting to a total of Rs. 1,00,000 – some of which was in cash and the rest was in the form of other articles. The cash received by them alone amounted to more than Rs. 35,000. All the cash received by them were by way of currency notes of the denominations of Rs. 2000, Rs. 500 and Rs. 200. When all the cash they received was pooled together, there were 10 notes of a certain denomination, 12 notes of a second denomination, and 16 notes of a third denomination. Riz and Rekha decided to spend an amount equal to the total value of the gifts received by them at their wedding (by way of cash and otherwise) in the ratio of 2:3 on buying a guitar and a sitar, respectively. 

Which of the options below states the correct number of currency notes of each denomination received by Riz and Rekha? 

Options

• 16 notes of Rs. 2,000; 12 notes of Rs. 500; and 10 notes of Rs. 200

• 12 notes of Rs. 2,000; 10 notes of Rs. 500; and 16 notes of Rs. 200

• 10 notes of Rs. 2,000; 12 notes of Rs. 500; and 16 notes of Rs. 200

• 12 notes of Rs. 2,000; 16 notes of Rs. 500; and 10 notes of Rs. 200

Answer 1

16 notes of Rs. 2,000; 12 notes of Rs. 500; and 10 notes of Rs. 200

Explanation:

The correct answer is - 16 notes of Rs. 2,000; 12 notes of Rs. 500; and 10 notes of Rs. 200, which adds up to a total of Rs. 40,000.

The configuration of notes in '12 notes of Rs. 2,000; 10 notes of Rs. 500; and 16 notes of Rs. 200' would add up to Rs. 32,200. The configuration of notes in '10 notes of Rs. 2,000; 12 notes of Rs. 500; and 16 notes of Rs. 200' would add up to Rs. 29,200. The configuration of notes in '12 notes of Rs. 2,000; 16 notes of Rs. 500; and 10 notes of Rs. 200 ' would add up to Rs. 34,000. Therefore, none of the options other than '16 notes of Rs. 2,000; 12 notes of Rs. 500; and 10 notes of Rs. 200' contains the configuration of notes that would make up for a sum of more than Rs. 35,000.