A sum of ₹ 650 is divided between A and B in such a manner that in every 100 rupees A gets 30 rupees more… · ABC26GN3074

Subject: General Aptitude · Chapter: Ratio and Proportion

A sum of ₹ 650 is divided between $A$ and $B$ in such a manner that in every 100 rupees $A$ gets 30 rupees more than $B$. How much does $B$ get?
(a)₹ 288
(b)₹ 227.50
(c)₹ 312.50
(d)₹ 422.50
Answer
Answer (as printed): B
Explanation
$A+B=100, A=B+30 \Rightarrow(B+30)+B=100$ $\Rightarrow 2 B=70 \Rightarrow B=35 \Rightarrow A=(100-35)=65$. $A: B=65: 35=13: 7$. $$\text { ∴ } B \text { 's share }=₹\left(650 \times \frac{7}{20}\right)=₹ 227.50 .$$

Explanation as extracted from the printed page; notation may be imperfect.

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