Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:
A box contains 1 rupee, 50-paise and 25-paise coins in the ratio 8 : 5 : 3. If the total amount of money in the box is ₹ 112.50, the number of 50-paise coins is
(a)30
(b)42
(c)50
(d)80
Answer
Answer (as printed): C
Explanation
Let the number of 1-rupee, 50-paise and 25-paise coins be $8 x, 5 x$ and $3 x$ respectively. Then, sum of their values $=₹\left(8 x+\frac{50 \times 5 x}{100}+\frac{25 \times 3 x}{100}\right)$ $$=₹\left(8 x+\frac{5}{2} x+\frac{3}{4} x\right)=₹\left(\frac{45}{4} x\right) .$$ $\therefore \frac{45 x}{4}=112.50 \Rightarrow x=\frac{112.50 \times 4}{45}=10$. So, number of 50 -paise coins $=5 x=50$.
Explanation as extracted from the printed page; notation may be imperfect.