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Question:

Garima had only Rs. 200, Rs. 500 and Rs. 2000 notes in her wallet. She goes to shoppers Stop, purchases some dresses and gives half of her Rs. 2000 notes & in turn receives same number of Rs. 200 notes. She then goes to a restaurant and gives all her Rs. 500 notes and receives thirty Rs. 2000 notes, which increases the number of Rs. 2000 notes she had by 75%. If now she has fifty Rs. 200 notes, what were the original number of Rs. 2000 and Rs. 200 notes she had at the start?

Explanation:

Let Garima initially have (2n) notes of Rs. 2,000.

After the first transaction (in which she gives away half her notes), Garima has n notes of Rs. 2,000.

Now, Garima gets 30 notes of Rs. 2,000 which increases her number of Rs. 2,000 notes by three-fourth.

∴ n + 30 = n + (3n/4)

∴ (3n/4) = 30 i.e. n = 40

∴ Initial number of Rs. 2,000 notes = 2n = 80

This eliminates options 1 and 2.

Let Garima initially have x notes of Rs. 200.

She then gets n notes of Rs. 200, thereby taking the total notes of Rs. 200 to 50.

∴ x + n = 50

∴ x + 40 = 50 i.e. x = 10

∴ Initial number of Rs. 200 notes = x = 10

Hence, option (c).