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The difference between the compound interest and the simple interest on a certain sum for 2 years at 6% p.a is ₹90. Find the sum. |
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Answer» d Solution :★ Sum = Rs 25000 ★GIVEN:• The DIFFERENCE between the COMPOUND interest and the simple interest on a certain sum for 2 years at 6% p.a is ₹90. To calculate:• The sum i.e principal.Calculation:Here, we'll FIRST calculate the simple interest and then compound interest as per the the given information. Then by forming the suitable equation , we'll find the sum.→ Let the sum be "P".Simple Interest:Where,P = PrincipalR = Rate = 6 % p.aTime = 2 years⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀Also,Compound Interest:⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀Where,P = PrincipalR = Rate = 6 % p.an (number of years) = 2 years⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀Now, we got the value of S.I and C.I. Also, the question STATES that difference between C.I and S.I is ₹ 90. So, ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀Hence, the sum is Rs 25000.⠀⠀⠀⠀⠀ |
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