Raj has 50 paisa coin, some 1 re coin, some 2 rupee coin, and some 5rupee coin. The value of all the coins is 50. Number of 2 re coins is 5 more than the 5re coin. 50 paisa coins are double the number of 1 re coins. Value of 1 re coin and 50 paisa coin is rs 26, How many 2 re coin are there?

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**nandu**

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Age : 34

Location : Chennai

**Abhishek**

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nandu wrote:Raj has 50 paisa coin, some 1 re coin, some 2 rupee coin, and some 5rupee coin. The value of all the coins is 50. Number of 2 re coins is 5 more than the 5re coin. 50 paisa coins are double the number of 1 re coins. Value of 1 re coin and 50 paisa coin is rs 26, How many 2 re coin are there?

Providing a pictorial solution:

**nandu**

Forum Member- Posts : 8

Join date : 2011-05-03

Age : 34

Location : Chennai

- Post n°3

### quant problem

Let 50 paise coins be X

2 rupee coins be Y

1 rupee coin be Z

5 rupee coin be T

Given :- 0.5X + 2Y + Z +5T = 50 ---------- (i)

Y= 5 + T ---------- (ii)

X= 2Z ----------- (iii)

0.5X + Z=26 -----(iv)

therefore, 26+ 2(5+T) + 5T = 50

26+ 10+ 2T+ 5T =50

7T= 50-36 =14

T=2

Substituting the value of T in equation (ii)

we get, Y= 5+ 2= 7

2 rupee coins be Y

1 rupee coin be Z

5 rupee coin be T

Given :- 0.5X + 2Y + Z +5T = 50 ---------- (i)

Y= 5 + T ---------- (ii)

X= 2Z ----------- (iii)

0.5X + Z=26 -----(iv)

therefore, 26+ 2(5+T) + 5T = 50

26+ 10+ 2T+ 5T =50

7T= 50-36 =14

T=2

Substituting the value of T in equation (ii)

we get, Y= 5+ 2= 7

Thu Aug 20, 2015 2:24 pm by vigneshwaran0812

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