Let us assume he deposited ₹\(x\). \(\therefore\) He received interest of \(x \times \cfrac{6}{25} = \cfrac{6x}{25}\) According to the question: \[ x + \cfrac{6x}{25} = 434 \Rightarrow \cfrac{25x + 6x}{25} = 434 \Rightarrow \cfrac{31x}{25} = 434 \Rightarrow x = 434 \times \cfrac{25}{31} = 350 \] \(\therefore\) He deposited ₹350, and the interest over 4 years = ₹434 − ₹350 = ₹84 \(\therefore\) Rate of interest = \(\cfrac{100 \times 84}{350 \times 4}\% = 6\%\) Conclusion: He deposited ₹350, and the post office gave simple interest at an annual rate of 6%.