Simplification Solutions

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Q: 1 Aman has Rs. 480 in the denomination of 1-rupee notes, 5-rupee notes and 10-rupee notes. The number of notes of each denomination are equal. What is the total number of notesthat Aman has?

(A) 40 (B) 65 (C) 85 (D) 90

Sol: Let the number of notes of each denomination be x.

Then x + 5x + 10x = 480

16x = 480

So, x = 30.

Hence, total number of notes = 3x = 90.

Answer: Option (D)

Q: 2 Amit has some hens and horses. If the number of heads is counted to be 48 and the number of feet equals140, then the number of hens will be:

(A) 22 (B) 21 (C) 25 (D) 26

Sol: Let the number of hens be x and the number of horses be y.

Then, x + y = 48 …. (i)

and 2x + 4y = 140 So, x + 2y = 70 …. (ii)

Solving (i) and (ii) we get: x = 26, y = 22.

So, the number of hens = 26.

Answer: Option (D)

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