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Question
A sum of Rs. 1500.00 was put in two companies, one paid 6% simple interest and the other 5%. The whole annual interest from the two companies was Rs.85.00. What is the sum invested in the first company?
Rs. 500
Rs. 800
Rs. 1000
Rs. 700
ANSWER : 3
Descrption
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Let the investments be F and (1500 - F) Rs. in the companies respectively.</span></p> <p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Interest, I = P n r</span></p> <p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Now, F × 1 </span><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">× 6/100 + (1500 - F) </span><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">× 1 </span><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">× 5/100 = 85</span></p> <p><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">or, 6F + 7500 - 5F = 8500 [multiplying both sides by 100]</span></p> <p><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">or, F = 8500 - 7500</span></p> <p><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">or, F = <strong>1000 Rs.</strong></span></p>
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