Allied & ICAR Exam Bank • ALLIED_2559 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Ratios & Percentages

Question Statement:

A sum of Rs 170 is made up of 1-rupee, 50-paise, and 25-paise coins. If the number of 50-paise coins is twice the number of 1-rupee coins and four times the number of 25-paise coins, the total number of coins in the collection is:

Answer Key:

280

Step-by-Step Solution & Explanation

Let 25-p coins be $x$. 50-p coins $= 4x$, 1-Re coins $= 2x$. Total value $= 2x(1) + 4x(0.5) + x(0.25) = 4.25x = 170 \implies x = 40$. Total coins $= 2x + 4x + x = 7x = 7 \times 40 = 280$.
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