A treasure box contains a certain amount of money that must be shared amoung three explorers: \(A\), \(B\) and \(C\).
Explorer \(A\) receives \(₹60\) more that half of the total treasure.
Explorer \(B\) receives \(₹160\) less than three-eighths of the treasure.
Explorer \(C\) receives \(₹250\).
Based on the above information, answer the following questions.
(i) Which of the following correctly represents the amount received by \(B\)?
(ii) Which of the following equations correctly represents the total sum \(S\)?
(iii) What is the total sum of the treasure box?
(iv) How much did \(A\) gets?