Question

The ratio of coins of 1,50 paise
and 25 paise is 4:5:6. If total cost
of all coins is 64, then the
number of coins of 25 paise is
(a) 48
(b) 40
(C) 32
(d) None of these​

Answer 1

Step-by-step explanation:

let num of coin be x

then ,

1(4x) + 1/2(5x) + 1/4(6x) = 64

4x + 5x/2 + 3x/2 = 64

8x+ 5x +3x = 128

16x= 128

x= 8

1 rupee coin = 4x = 32

50 p coin = 5x = 40

25 P. coin = 6x = 48

Answer 2

Answer:

(a)48

Step-by-step explanation:

Let total number of coins = x

Rs.1 : 50p : 25p

Rs.1 : Rs.1/2 : Rs.1/4

4x : 5x : 6x

Rs.1 = 4x

50p = Rs.1/2 = (1/2)5x

25p = Rs.1/4 = (1/4)6x

$4x + \frac{5}{2} x + \frac{6}{4} x = 64 \\ \\ 16x + 10x + 6x = 256 \\ 32x = 256 \\ x = 8$

Therefore, 25 paise coins are 6x = 6(8) = 48.

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