After retirement Gobinda Babu got ₹ 5,00,000. He deposited a part of it in post office at 7.2% simple interest p.a. and the other part in a bank at 6% simple interest p.a. Every year he got ₹ 33,600 in total as interest from bank and post office. Find the amounts he deposited in bank and post office separately.
WBBSE
Class X
Mathematics
Simple Interest
05 Mark
2024
Let post office deposit = x and
bank deposit = 500000 − x.
SI from post office = \frac{x×7.2×1}{100}
SI from bank = \frac{(500000 − x)×6×1}{100}
ATP: \frac{x×7.2×1}{100} + \frac{(500000 − x)×6×1}{100} = 33600
⇒ 0.072x + 0.06(500000 − x) = 33600
⇒ 0.072x + 30000 − 0.06x = 33600
⇒ 0.012x = 3600
⇒ x = \frac{3600}{0.012} = 300000.
So post office = Rs. 3,00,000; bank = 500000 − 300000 = Rs. 2,00,000.
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