# the simple interest on a certain amount for two years at the rate of 5% per annum is ₹160. what would be the difference between compound interest and simple interest for the same period and at the same rate of interest?

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get the simple interest on a certain amount for two years at the rate of 5% per annum is ₹160. what would be the difference between compound interest and simple interest for the same period and at the same rate of interest? from screen.

## The difference between the simple interest and the compound interest on a certain principal for 2 years is Rs. 160 . If the simple interest is Rs. 2,880 , find the rate of interest.

Click here👆to get an answer to your question ✍️ The difference between the simple interest and the compound interest on a certain principal for 2 years is Rs. 160 . If the simple interest is Rs. 2,880 , find the rate of interest.

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## The difference between the simple interest and the compound interest on a certain principal for 2 years is Rs. 160. If the simple interest is Rs. 2,880, find the rate of interest.

Given : ∣S.I.−C.I.∣=160 ..... (i) n=2 ans S.I.=Rs. 2,880Medium Open in App Solution Verified by Toppr We know that, S.I.= 100 P×n×R ⟹2880= 100 P×2×R ⟹ 100 PR =1440 ........ (ii) ∣S.I.−C.I.∣=P[(1+ 100 R ) 2 −1]−2880 =P( 10000 R 2 + 100 2R )−2880 ⟹160= 100 PR ( 100 R +2)−2880 ⟹3040=1440( 100 R +2) ...... From (i) ⟹ 100 R +2= 1440 3040 = 9 19 ⟹R= 9 1 ×100=11.1%

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## Simple Interest and Compound Interest: Practice Questions

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## Simple Interest and Compound Interest: Practice Questions

Solve the given practice questions based on Simple and Compound Interest. Also, the answer key and explanations are given for the same.

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**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

a) Rs. 10000 b) Rs. 6000 c) Rs. 5000 d) Rs. 2000 e) None of these Suggested Action:

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**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

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**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

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## [Solved] If the difference between the compound and simple interest o

Given CI - SI = Rs.160 Time = 2 years Rate = 8% Formula used (CI - SI)2 years = (PR2)/ (100)2 CI = Compound Interest SI = Simple Interest

Home Quantitative Aptitude Interest

## Question

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## If the difference between the compound and simple interest on a certain sum of money for 2 years at 8% per annum is Rs. 160, find the sum.

This question was previously asked in

SSC Graduation Level Previous Paper (Held on: 14 Dec 2020 shift 3)

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Rs. 28,000 Rs. 24,000 Rs. 20,000 Rs. 25,000

## Answer (Detailed Solution Below)

Option 4 : Rs. 25,000

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## Detailed Solution

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**Given**

CI - SI = Rs.160 Time = 2 years Rate = 8%

**Formula used**

(CI - SI)2 years = (PR2)/ (100)2

CI = Compound Interest

SI = Simple Interest

P = Principal R = Rate

**Calculation**

160 = (P × 82)/(100)2

⇒ 160 = (64P)/10000

⇒ P = (160 × 10000)/64

**∴ Principal is Rs.25,000**

Alternate Method 8% = 160 1% = 20

100% = 2000 For 1 year

8% = 2000 1% = 250 100% = 25,000

**∴ Principal will be Rs.25,000**

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## More Interest Questions

**Q1.**A sum of money gives an interest of 1/5 of itself in T years, when it is given in the rate of 10%, Find amount after (T+3) years.

**Q2.**The compound interest on a certain sum for 2 years is ₹882, whereas the simple interest on it is ₹840. Find the rate of interest.

**Q3.**₹20,000 amounts to ₹22,260.50 in 2 years at compound interest, compounded annually. The rate of interest is :

**Q4.**If the simple interest on a certain sum for 15 months at

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**Q5.**A sum was invested at simple interest at a certain rate for 3 years. Had it been invested at 1% higher rate of simple interest for the same time, it would have fetched Rs. 5,100 more. The sum is :

**Q6.**The principal that amounts to Rs. 4,913 in 3 years at

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**Q7.**A sum of money at simple interest doubles in 7 years. It will become four times in:

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Guys, does anyone know the answer?