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Ramesh has ₹18,000. He deposited ₹7,000 in a bank at the rate of 5% per annum and ₹6,000 in other bank at the rate of 6% per annum simple interest. If he received ₹1,160 as simple interest at the end of one year, then the rate of interest per annum on rest of the capital is equal to:

SSC · 2024 · Quantitative Aptitude
Question:
Ramesh has ₹18,000. He deposited ₹7,000 in a bank at the rate of 5% per annum and ₹6,000 in other bank at the rate of 6% per annum simple interest. If he received ₹1,160 as simple interest at the end of one year, then the rate of interest per annum on rest of the capital is equal to:

Options

(1) 10%
(2) 11%
(3) 9%
(4) 8%
Answer: (3) 9%

Explanation:
Let total money = 18,000 He invested: 7,000 at 5% → Interest = 7000 × 0.05 = 350 6,000 at 6% → Interest = 6000 × 0.06 = 360 Total interest from these two = 350 + 360 = 710 Total interest received = 1,160 So interest from remaining money = 1160 − 710 = 450 Remaining principal = 18,000 − 7,000 − 6,000 = 5,000 Let rate = R% Simple interest formula: SI = (P × R × T) / 100 450 = (5000 × R × 1) / 100 450 = 50R R = 450 / 50 = 9 ✅ Correct Answer: (3) 9%

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