Question : Rs. 1740 is divided among A, B and C such that 0.5 of A — 0.6 of B = 0.75 of C. Then C will get:
Option 1: Rs. 580
Option 2: Rs. 696
Option 3: Rs. 348
Option 4: Rs. 464
Correct Answer: Rs. 464
Solution :
$A × 0.5 = B × 0.6 = C × 0.75$
⇒ $\frac{A×5}{10}=\frac{B×6}{10}=\frac{C×75}{100}$
⇒ $\frac{A}{2}=\frac{B×3}{5}=\frac{C×3}{4}$
So, A : B : C = 2 : $\frac{5}{3}$ : $\frac{4}{3}$ = 6 : 5 : 4
∴ C’s share =$\frac{4}{15}$ × 1740 $=$ Rs. 464
Hence, the correct answer is Rs. 464.
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