← Quantitative Aptitude

Ratio/Coins — Questions with Solutions

2 solved Ratio/Coins questions from Quantitative Aptitude, as asked in SSC CGL and other SSC exams. Read the answer and explanation below, then practise the full set in the practice section.

Practise this topic

Q1. A money bag contains $1$-rupee, $5$-rupee and $10$-rupee coins in the ratio of $3:5:7$ respectively. If the total amount in the bag is $₹980$, then find the number of coins of $₹10$.

एक मनी बैग में $1$-रुपये, $5$-रुपये और $10$-रुपये के सिक्के क्रमशः $3:5:7$ के अनुपात में हैं। यदि बैग में कुल राशि $₹980$ है, तो $₹10$ के सिक्कों की संख्या ज्ञात कीजिए।

  1. A. $69$
  2. B. $70$
  3. C. $71$
  4. D. $68$

Solution

Value ratio = $3(1) : 5(5) : 7(10) = 3 : 25 : 70$. Total value parts = $98$. $98x = 980 \Rightarrow x = 10$. No. of ₹10 coins = $7 \times 10 = 70$.

Q2. R pays ₹100 to P with ₹5, ₹2 and ₹1 coins. The total number of coins used for paying are 40. What is the number of coins of denomination ₹5 in the payment?

  1. A. 16
  2. B. 17
  3. C. 18
  4. D. 13

Solution

Let 5-rupee coins be x, others be y. x+y=40. Value = 5x + avg(y)*y = 100. Testing 13: 5(13)=65, 27 coins left summing to 35. 2a+b=35, a+b=27 => a=8, b=19. This is perfectly valid. Thus, 13 coins.