Question

A bag contains coins of one-rupee, 50-paise and 24-paise denominations. The total amount in the bag is Rs. 500. To find the total number of 50-paise coins, which of the following information is sufficient?
(I) The number of the coin is in the ratio 3 : 4 : 5.
(II) The number of one rupee-coins is one-fourth the total number of coins in the bag.

• A. Statement (I) alone is sufficient, but statement (II) alone is not sufficient.
• B. Statement (II) alone is sufficient, but statement (I) alone is not sufficient.
• C. Both statements together are sufficient, but neither statement alone is sufficient.
• D. Each statement alone is sufficient.

Answer 1

The correct option is A Statement (I) alone is sufficient, but statement (II) alone is not sufficient.

(I) $\Rightarrow 3x+4x\left(0.50\right)+5x\left(0.25\right)=500$
$\Rightarrow 6.25x=500\Rightarrow x=80$
$\therefore$ The total number of 50-paise coins $=4x=320$
But we can't be solved the question using statement (II).
Hence statement (I) alone is sufficient to answer the question.