Q.1.The difference in simple interest and compound interest on a certain sum of money in 2 years at 10 % p.a. is Rs. 50. The sum is Show
a) Rs. 10000 b) Rs. 6000 c) Rs. 5000 d) Rs. 2000 e) None of these Q.2. The difference in simple interest and compound interest on a certain sum of money in 2 years at 18 % p.a. is Rs. 162. The sum is a) Rs. 4000 b) Rs. 5200 c) Rs. 4250 d) Rs. 5000 e) None of these Q.3. The compound interest on a certain sum of money for 2 years is Rs. 208 and the simple interest for the same time at the same rate is Rs. 200. Find the rate %.
 a) 5 % b) 6 % c) 7 % d) 4 % e) 8 % Q.4.The difference between compound interest and simple interest on a certain sum for 2 years at 10 % is Rs. 25. The sum is a) Rs. 1200 b) Rs. 2500 c) Rs. 750 d) Rs. 1250 e) Rs. 2000 Q.5.The simple interest on a certain sum for 3 years in Rs. 225 and the compound interest on the same sum for 2 years is Rs. 165. Find the rate percent per annum. a) 20 % b) 2.5 % c) 5 % d) 15 % e) 7.5% Q.6.The simple interest on a sum of money for 2 years is Rs. 150 and the compound interest on the same sum at same rate for 2 years is Rs. 155. The rate % p.a. is a) 16 % b) 20/3 % c) 12 % d) 10 % e) None of these Q7.Mihir’s capital is 5/4 times more than Tulsi’s capital. Tulsi invested her capital at 50 % per annum for 3 years (compounded annually). At what rate % p.a. simple interest should Mihir invest his capital so that after 3 years, they both have the same amount of capital? a) 20/3 % b) 10 % c) 50/3 % d) 1.728 % e) None of these Q8.The difference in simple interest and compound interest on a certain sum of money in 3 years at 10 % p.a. is Rs. 372. The sum is a) Rs. 8000 b) Rs.9000 c) Rs. 10000 d) Rs. 12000 e) None of these Q9.Sahil’s capital is 1/6 times more than Chaya’s capital. Chaya invested her capital at 20 % per annum for 2 years (compounded annually). At what rate % p.a. simple interest should Sahil invest his capital so that after 2 years, they both have the same amount of capital? a) 10% b) 11 5/7% c) 20% d) 13 5/7% e) None of these Q10.The difference in simple interest and compound interest on a certain sum of money in 3 years at 20 % p.a. is Rs. 640. The sum is
a) Rs. 5000 b) Rs. 8500 c) Rs. 8250 d) Rs. 6000 e) None of these If the difference between CI and SI on the same sum for 2 years at the rate of 15% is Rs. 225 then find the sum?
Answer (Detailed Solution Below)Option 4 : Rs. 10,000
GIVEN: ⇒ Time = 2 years. ⇒ Rate = 15% ⇒ Compound interest – Simple interest = Rs. 225 FORMULA USED: ⇒ S.I = (P x R x T) /100 ⇒ C.I = P [1+ (R / 100)]T – P CALCULATION: ⇒ S.I = (P x 15 x 2)/100 ⇒ S.I = 0.30P ⇒ C.I = P [1+ (15/100) ]2 – P ⇒ C.I = P [(529/400) – 1] ⇒ C.I = P [(129/400)] ⇒ C.I = 0.3225P ⇒ Difference = C.I – S.I ⇒ C.I – S.I = 0.0225P ⇒ C.I – S.I = Rs. 225 ⇒ 0.0225P = Rs. 225 ⇒ P = Rs. 10,000 Let Principle = 100% ⇒ T = 2 years & Rate = 15% ⇒ S.I = 30% of P ⇒ S.I = 30% For C.I we have to calculate effective rate. ⇒ Effective rate = 15 + 15 + (15 x 15)/100 ⇒ Effective rate = 32.25% ⇒ C.I = 32.25% ⇒ Difference = 2.25% ⇒ 2.25% = Rs 225 ⇒ 1% = Rs. 100 ⇒ P = 100% = Rs. 10,000 Get proficient with the Quantitative Aptitude concepts with detailed lessons on the topic Interest among many others. Find the difference between CI & SI or 2 years at 12% rate of interest. If principal is Rs. 2500.
Answer (Detailed Solution Below)Option 2 : Rs. 36 Free 15 Questions 15 Marks 8 Mins Given: The principal = Rs. 2500 Rate of interest = 12% Time = 2 years Concept: SI = (P × R × T)/100 CI = P[(1 + r/100)n – 1] Here, n is the number of terms in the year. Calculation: The simple interest for 2 years ⇒ (2500 × 12 × 2)/100 ⇒ 25 × 12 × 2 ⇒ Rs. 600 Now, Compound interest for 2 years is ⇒ 2500[(1 + 12/100)2 – 1] ⇒ 2500[(112/100)2 – 1] ⇒ 2500 × (28/25)2 – 2500 ⇒ 2500 × (784/625) – 2500 ⇒ 3136 – 2500 ⇒ Rs. 636 Now, The difference between CI and SI is ⇒ Rs. 636 – Rs. 600 ⇒ Rs. 36 ∴ The difference between CI and SI is Rs. 36. Alternate Method The difference between CI and SI for 2 years is P(r/100)2 The difference is ⇒ 2500(12/100)2 ⇒ 2500 × 144/10000 ⇒ Rs. 36 ∴ The difference between CI and SI is Rs. 36. Latest UP Police Jail Warder Updates Last updated on Sep 22, 2022 The Uttar Pradesh Police Recruitment and Promotion Board (UPPRPB) is expected to release the official notification for the UP Police Jail Warder 2022. A total number of 3638+ vacancies are expected to release for the recruitment process. The UP Police Jail Warder Selection Process includes four stages which are Written Test, Physical Standard Test, Physical Measurement Test, and Document Verification. Candidates who will get a final selection for the Jail Warder post will get a salary range between Rs. 21,700 to Rs. 69,100. Let's discuss the concepts related to Interest and Simple and Compound Both. Explore more from Quantitative Aptitude here. Learn now! What is the amount and the compound interest on 2500 for 2 years at 10% per annum compounded annually?∴ Amount will be Rs. 3025 and Interest will be Rs. 525 If Compounded Annually.
What is the difference between the compound interest and simple interest on 2500 for 2 years at 4% per annum?= 2704 - 2500 = Rs. 204 C.I. - S.I.
What is the compound interest on rupees 2500 for 2 years at rate of interest for percent per annum?Detailed Solution
2,500 in 2 years and Rs. 3,000 in 3 years at certain rate of compound interest. ⇒ R = 20% p.a. ∴ Rate of interest is 20% p.a..
What does 10% compounded annually mean?For example, say you have $100 in a savings account, and it earns interest at a 10% rate, compounded annually. At the end of the first year, you'd have $110 ($100 in principal + $10 in interest).
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On rs 2500 /- for two years at a 10% rate compounded annually the difference between ci & si is
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