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State True or False.

A bag contains $R s .750$ in the form of one rupee, $50 P$ and $25 P$ coins in the ratio $5 : 8 : 4$ . Then the number of 25 paise coins is $600$ .

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True

False

answer is B.

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Detailed Solution

It is given that the ratio of the coins in the form of 1 rupee, 50 paise and 25 paise are in the ratio of

5 : 8 : 4

.
The total amount in the bag is Rs.

750

.
Assume that, the numbers one rupee, fifty paise and twenty-five paise coins be

5 x, 8 x

and

4 x

respectively.
Therefore, the total value of these coins is the addition with those values in paise.
We know that,

1

rupee

= 100

paise.
So the ratio

5 x

becomes,

5 x × 100100

.
Similarly, 8x becomes,

8 x × 50100

.
And 4x becomes,

4 x × 25100

.
The total value is given by,

= 5 x × 100100 + 8 x × 50100 + 4 x × 25100

= 5 x + 8 x 2 + 4 x 4

= 40 x 4 = 10 x

Since the total value is

750

10 x = 750 x = 75

Calculate the number of one rupee coins.

5 x = 5 × 75 = 375

Calculate the number of fifty paise coins.

8 x = 8 × 75 = 600

Calculate the number of twenty-five paise coins.

4 x = 4 × 75 = 300

The number of

25

paise coins is

300

and not

600

.
Hence the statement is false.
Hence option 2) is correct.

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