Solution : Principal `(P)=Rs.50000`<br>Rate `(R)=10%` p.a<br>Time`(n)=2`years<br>Amount `(A)=P(1+R/100)^n`<br>`=Rs.50000(1+10/100)^2`<br>`=Rs.50000(11/10)^2`<br>`=Rs.50000×11/10×11/10`<br>`=Rs.60500`<br>`:.`Compound interest `(C.I.)=A-P`<br>`=Rs.60500-Rs.50000`<br>`=Rs.10500`<br>Simple Interest `(S.I.)`<br>`=(PxxRxxT)/100=Rs.(50000xx10xx2)/100`<br>`=Rs.10000`<br>Difference between `C.I.` and `S.I.`<br>`=Rs.10500-Rs.10000`<br>`=Rs.500`<br>`therefore` The difference between `C.I.` and `S.I.` is `Rs.500`. Show
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RD Sharma Solutions Class 8 Mathematics Solutions for Compound Interest Exercise 14.2 in Chapter 14 - Compound InterestQuestion 36 Compound Interest Exercise 14.2 The difference between the compound interest and simple interest on a certain sum for 2 years at 7.5% per annum is Rs. 360. Find the sum. Answer: Given, Time = 2 years Rate = 7.5 % per annum Let principal = Rs P Compound Interest (CI) – Simple Interest (SI) = Rs 360 C.I – S.I = Rs 360 By using the formula, P [(1 + R/100)^n - 1] – (PTR)/100 = 360 P [(1 + 7.5/100)^2 - 1] – (P(2)(7.5))/100 = 360 P[249/1600] – (3P)/20 = 360 249/1600P – 3/20P = 360 (249P-240P)/1600 = 360 9P = 360 × 1600 P = 576000/9 = 64000 ∴ The sum is Rs 64000
Video transcript hello everybody welcome to leader learning my name is rajna chaudhary and we have to write this statement in the equation form it is written that write equation for the statements for these statements so statement is one fourth of a number x minus g minus four gives four so one fourth of a number x would be one fourth of x that mean the value of this part is 1 by 4 of x then we have to minus 4 from it so let's minus 4 from it so minus 4 and gives gives means is equal to 4 so this is the equation for the statement we can write it like that at the place of off we can write multiply then minus 4 is equal to 4. we can also write it like x upon 4 minus 4 is equal to 4. so this is the form of equation for the statement i hope you understand the method see you in my next video don't forget to like comment and subscribe leader learning channel thank you for watching Was This helpful? What will be the difference between the compound interest (interest is compounded annually) and simple interest on a sum of Rs. 6400 at the rate of 10% per annum for 2 years?
Answer (Detailed Solution Below)Option 4 : Rs. 64 Free History of Indian Constitution 15 Questions 15 Marks 9 Mins CONCEPT: The simple interest is given as \(SI = \frac{{Prt}}{{100}}\) and the compound interest is given as \(CI = P{\left( {1\; + \;\frac{r}{{100}}} \right)^t} - P\) where P is the prinicipal amount, r is the interest rate and t is the time in years. EXPLANATION: The difference between the simple interest and compound interest can be given by: CI – SI ⇒ \(\left[ {\;P{{\left( {1 + \frac{r}{{100}}} \right)}^t} - P} \right] - \;\frac{{Prt}}{{100}}\) CALCULATION: SI = (PRT/100) ⇒ (6400 × 10 × 2)/100 ⇒ 128000/100 ⇒ 1280 \(CI = P{\left( {1\; + \;\frac{r}{{100}}} \right)^t} - \;P\;\) ⇒ 6400(1 + 0.1)2 – 6400 ⇒ 6400(1.1)2 – 6400 ⇒ (6400 × 1.21) – 6400 ⇒ 7744 – 6400 ⇒ 1344 CI – SI ⇒ 1344 – 1280 = 64 ⇒ Required difference = Rs. 64 Hence D is the correct answer. Smart Trick Effective rate difference for 2 years = (r2/100) = (102/100) = 1% ∴ Required difference = 1% of 6400 = 6400 × (1/100) = 64. Latest MP Police Constable Updates Last updated on Sep 22, 2022 The Madhya Pradesh Police has released the revised schedule for the Preliminary Eligibility Test (PET) of the Madhya Pradesh Police Constable exam on 20th May 2022. The exam was cancelled in view of the extreme heatwave conditions in Madhya Pradesh. The PET is now scheduled for 6 June onwards. A total of 4000 vacancies are to be filled by the MP Police Constable Recruitment 2022. The candidates should go through the MP Police Constable Syllabus and Exam Pattern to have an idea of the requirements of the exam. Let's discuss the concepts related to Interest and Simple and Compound Both. Explore more from Quantitative Aptitude here. Learn now! What's the difference between the compound interest and the simple interest on a sum of Rs 9000 for 2 years at 5% per?Detailed Solution. ∴ The difference between S.I. and C.I. for 2 years is Rs. 44.10.
What will be the difference between simple interest and compound interest on a sum of ₹ 15000 for 2 years at the same rate of interest of 12 1 )/( 2 )% per annum?14. The difference between compound interest and simple interest on an amount of Rs. 15,000 for 2 years is Rs. 96.
What will be the difference between simple interest and compound interest on a sum of rupees?The difference between compound interest and simple interest on a certain sum at 10% per annum for 2 years is Rs. 631.
What will be the difference between simple interest and compound interest on a sum of rupees 6000 in 2 years at the rate of interest of 5% per annum?Therefore , Difference between Compound Interest and Simple Interest is Rs. 15 .
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