Correct Answer - Option 4 : 20000 Show
Given: Amount in 4 years at 10% per annum = Rs.29282 Formulas used: Amount on compound interest (compounded yearly) = P × (1 + r/100)n Simple Interest = P × Rate/100 × Time Calculation: Rs.29282 = P × (1 + 10/100)4 ⇒ 29282 = P × 14641/10000 ⇒ P = 29282 × 10000/14641 ⇒ P = 20000 Simple interest at double the sum for 5 years at 10% p.a: ⇒ 2 × 20000 × 5 × 10/100 ⇒ 20000 ∴ The required simple interest is Rs.20000. Answer Verified
Hint: We solve this problem by using the compound interest formula because we are given that the amount is payable annually. Complete step by step answer: Therefore, the rate of interest per annum is 10%. Note: Students may make mistakes in taking the problem as compound interest. A certain sum amounts to Rs. 29282 in 4 years at 10% per annum, when the interest is compounded annually. What is the simple interest on the same sum for same time at the same rate?
Answer (Detailed Solution Below)Option 2 : Rs. 8,000 Free January Month Current Affair (1st Jan - 15th Jan) 30 Questions 30 Marks 30 Mins For compound interest, A = P(1 + r/100)n Where, A = Amount P = Principal r = rate of interest n = time period in years ⇒ 29282 = P(1 + 10/100)4 ⇒ 29282 = P(11/10)4 ⇒ P = 29282 × 10/11 × 10/11 × 10/11 × 10/11 ⇒ P = Rs. 20000 Now, S.I. = PRT/100 ⇒ S.I. = (20000 × 10 × 4)/100 ⇒ S.I. = Rs. 8000 Last updated on Nov 4, 2022 SSC CHSL 2022 notification will be released on 6th December 2022. Earlier, the notification was scheduled to be released on 5th November 2022. Candidates can log in to their profiles and check individual marks between 26th November 2022 to 16th November 2022. The SSC is going to release the SSC CHSL notification on 6th December 2022 as declared by SSC. Candidates who have completed Higher Secondary (10+2) can appear for this exam for recruitment to various posts like Postal Assistant, Lower Divisional Clerks, Court Clerk, Sorting Assistants, Data Entry Operators, etc. The SSC Selection Process consists of Computer Based Exam, Descriptive Test and Typing/Skill Test. Recently, the board has released the SSC CHSL Skill Test Result for the 2020 cycle. The candidates who are qualified are eligible to attend the document verification. Ace your Interest preparations for Simple and Compound Both with us and master Quantitative Aptitude for your exams. Learn today! At what compound rate of interest a sum of rupees 20000 will amount to rupees 29000 282 in 4 years?→ R = 10% (Ans.)
At what rate of interest will 20000 become 24200 after 2 years when interest is compounded annually?Hence, the required rate of interest is $$10\% $$. Therefore, option (c) is the correct answer.
What is the compound interest on rupees 20000 at 10% for 2 years?Where P is principal, R is rate of interest and T is time. ∴ The compound interest for 2 years is Rs. 2464.
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