The simple interest on a sum of money at 4% per annum for 2 years is Rs 80. The compound interest on the same sum for the same period is = ?A. Rs. 82.60 Show
B. Rs. 82.20 C. Rs. 81.80 D. Rs. 81.60 Answer: Option D Solution(By Examveda Team)$$\eqalign{ & {\text{Rate }}\% {\text{ = 4}}\% \cr & {\text{Time (}}{{\text{t}}_1}) = 2\,{\text{years}} \cr & {\text{SI for 2 years}} \cr & {\text{ = 4}} \times {\text{2 = 8}}\% \cr & {\text{CI for 2 years}} \cr & {\text{ = 4 + 4 + }}\frac{{4 \times 4}}{{100}} \cr & = 8.16\% \cr & \operatorname{Required} \,CI \cr & = \frac{{80}}{8} \times 8.16 \cr & = Rs.\,81.60 \cr} $$ Click here to read 1000+ Related Questions on Compound Interest(Arithmetic Ability)
Correct Answer: Description for Correct answer: Time = 2 years Difference between CI and SI = Rs. 800 Difference =\( \Large \frac{ \left(R^{2}\right) }{100}=\frac{ \left(4\right)^{2} }{100} \)=0.16% 0.16 % of sum = Rs.800 Sum =\( \Large \frac{800}{0.16} \times 100 \) = Rs. 5,00,000 Hence required sum = Rs. 5,00,000 Part of solved Simple and compound interest questions and answers : >> Aptitude >> Simple and compound interest Find the rate of interest if compound interest for 2 years is Rs. 84 and simple interest for two years is Rs. 80.
Answer (Detailed Solution Below)Option 3 : 10% Free MP Police Constable: Memory Based Paper: 8 Jan 2022 Shift 1 100 Questions 100 Marks 120 Mins Given: Compound interest = Rs. 84. Simple interest = Rs. 80 Time = 2 years Concept used: For 1st-year, compound interest is equal to the simple interest. Calculation: Simple interest remains the same for every year. So, simple interest for the 1st year = simple interest for the 2nd year = Rs. 80/2 ⇒ Rs. 40 Again, compound interest for the 1st year = Rs. 40 Now, the compound interest for the 2nd year = Rs. (84 - 40) ⇒ Simple interest for the 2nd + R% × Simple interest for the 1st year = Rs. 44 ⇒ 40 + (R/100) × 40 = Rs. 44 ⇒ (R/100) × 40 = Rs. 4 ⇒ R = 400/40 ⇒ R = 10% ∴ The rate percent per annum is 10%.
Difference between C.I and S.I for 2 years = P(R/100)2 Where, P = Principal, R = Rate of interest SI = 80 = PRT/100 ⇒ 80 = 2PR/100 ⇒ P = 4000/R ---- (1) Difference between CI and SI = 84 - 80 = 4 Using formula we'll get 4 = P(R/100)2 Putting value of P from above, we'll get 4 = 4000R/10000 ⇒ R = 10% ∴ Rate of interest is 10% Latest MP Police SI Updates Last updated on Sep 26, 2022 The Madhya Pradesh Professional Education Board is very soon going to release the notification for recruitment for the post of MP Police SI (Sub-Inspector). In the last recruitment cycle, a total of 611 vacancies were released. The expected vacancy this year is to be much higher than that of the previous cycle. The candidates must be at least 18 years old to be able to apply for the post. The candidates can go through the MP Police SI Syllabus and Exam Pattern to have a better understanding of the requirements of the exam. Ace your Interest preparations for Simple and Compound Both with us and master Quantitative Aptitude for your exams. Learn today! No worries! We‘ve got your back. Try BYJU‘S free classes today! Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses No worries! We‘ve got your back. Try BYJU‘S free classes today! No worries! We‘ve got your back. Try BYJU‘S free classes today! Solution Correct option is B. 625Let initial amount be P=x unitsNow, ⇒SI=P×R×T100=x×2×4100=2x25 and⇒CI=P(1+R100)T−P=x(1+4100)2−x=676x625−x=51x625According to the question,⇒CI−SI=1⇒51x625−2x25=1⇒51x−50x=625⇒x=Rs.625Textbooks Question Papers Home Is the difference between the simple and compound interest on a sum of money for 2 years at 4% per annum is rupees 80 the sum is?किसी धनराशि का 4% वार्षिक दर से 2 वर्ष का साधारण ब्याज ₹ 80 है। उसी धनराशि का उतनी ही समयावधि का चक्रवृद्धि ब्याज होगा ... The difference between the compound interest and the simple interest on a certain sum of money at 4% per annum for 2 years is Rs. 1.40.
What is the difference between simple interest and compound interest for the sum of 2000?What is the difference between Simple Interest and the Compound Interest on $2000 for 2 Years at 10% Per-annum? The difference between the simple interest and the compound interest on $2000 for 1 year at 10% per annum is $20.
For what sum of money the difference between simple interest and compound interest for 2 years at 5% per annum equals to Rs 50?Hence, the sum is Rs. 6000.
What is the difference between compound interest and simple interest for 2 years?The difference between compound interest and simple interest for 2 years is 631. Substitute R = 10.
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Is the difference between the simple and compound interest on a sum of money for 2 years at 4% per annum is rupees 80 the sum is?
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