Question

A bag contains coins of one-rupee, 50 -paise and 25-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) B 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) B alone is not sufficient

(I) ⇒3x+4x(0.,50)+5x(0.25)=500⇒3x+4x(0.,50)+5x(0.25)=500
⇒6.25x=500⇒x=80⇒6.25x=500⇒x=80
∴∴ The total number of 50-paise coins =4x=320=4x=320
But we can't be solved the question using statement (II).
Hence statement (I) alone is sufficient to answer the question.