The number of 1 Re, 50 paise and 25 paise coins in a bag is in rat GMAT Problem Solving

Question: The number of 1 Re, 50 paise and 25 paise coins in a bag is in ratio 3 : 4 : 5. If the bag has Rs. 300, find the number of 50 paise coins.

A. 60
B. 96
C. 144
D. 192
E. 240

Answer: D

Approach Solution (1):
Let us assume the number of 1 Re, 50 paise and 25 paise coins are 3n, 4n, and 5n respectively
As the total amount present in the bag is Rs. 300, we can write
(100*3n) + (50*4n) + (25*5n) = 300*100
Or, 300n + 200n + 125n = 30000
Or, 625n = 30000
Or, n = 30000/625 = 48
Therefore, the number of 50 paise coins = 4n = 4*48 = 192
Correct option: D

Approach Solution (2):
Re 1 = 100 paise
50 paise and 25 paise
Ratio is 3 : 4 : 5
So, the amount of 100 paise = 3*100 = 300 paise
Amount of 50 paise = 200 paise
Amount of 25 paise = 125 paise
Total amount = 625 paise
Some multiplying factor (x)*625 = 30000 paise
x = 48
then the number of 50 paise coins = 48*4 = 192
Correct option: D

Approach Solution (3):
We can re-express the ratio 3 : 4 : 5 as 3x : 4x : 5x
Since 1 rupee (Re) = 100 paise, then 50 paise = 0.5 Re, and 25 paise = 0.25 Re
Therefore, in terms of rupees (Rs), we can create the equation:
1 (3x) + 0.5 (4x) + 0.25 (5x) = 300
3x + 2x + 1.25x = 300
6.25x = 300
x = 300/6.25 = 48
thus, the number of 50 paise coins is 4*48 = 192
Correct option: D

“The number of 1 Re, 50 paise and 25 paise coins in a bag is in ratio 3 : 4 : 5. If the bag has Rs. 300, find the number of 50 paise coins.”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.

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