Question

Suppose you go to an ATM to take out Rs. 5000. The machine gives one Rs. 500 note for every n Rs. 100 notes. How many Rs. 100 and Rs. 500 notes will you get?

(a) n=9, Rs. 100 notes = 9, Rs. 500 notes = 1
(b) n=4, Rs. 100 notes = 4, Rs. 500 notes = 1
(c) n=5, Rs. 100 notes = 5, Rs. 500 notes = 1
(d) n=7, Rs. 100 notes = 7, Rs. 500 notes = 1

Answer 1

The correct combination to withdraw Rs. 5000 from an ATM using this scheme is (c) n=5, with five Rs. 500 notes and twenty-five Rs. 100 notes. The correct answer is (c) n=5, Rs. 100 notes = 5, Rs. 500 notes = 1.

Step-by-step explanation:

If you go to an ATM to take out Rs. 5000 and the machine gives one Rs. 500 note for every n Rs. 100 notes, the exact number of Rs. 100 and Rs. 500 notes depends on the value of n. We can find the number of Rs. 500 notes first, then multiply n by the number of Rs. 500 notes to find the number of Rs. 100 notes.

• (a) For n=9, one Rs. 500 note and nine Rs. 100 notes total Rs. 1400. Since we need Rs. 5000, this combination does not fulfill the requirement.
• (b) For n=4, one Rs. 500 note and four Rs. 100 notes total Rs. 900. Dividing Rs. 5000 by Rs. 900, we get approximately 5.56, which is not a whole number, hence this option is not valid.
• (c) For n=5, one Rs. 500 note and five Rs. 100 notes total Rs. 1000. Dividing Rs. 5000 by Rs. 1000, we get exactly 5, so we will have five Rs. 500 notes and twenty-five Rs. 100 notes.
• (d) For n=7, one Rs. 500 note and seven Rs. 100 notes total Rs. 1200. Since we need Rs. 5000, this combination also does not fulfill the requirement.

So the correct answer is (c) n=5, with five Rs. 500 notes and twenty-five Rs. 100 notes.