In what time will 8000 amount to 8820 at 10% pa interest compounded half yearly?  Tyra Kyan
Chapter 13: SIMPLE INTERESTIntroductionSimple interest is calculated as P * R * T / 100 Where P = Principal or the amount borrowed R = Rate of interest T = years Note: The day on which money is deposited isn't counted but date on which money is withdrawn is counted.
COMPOUND INTEREST
Q. The SI on a sum of money is 25% of the principal, and the rate per annum is equal to the number of years. Find the rate percent. 4.5 6 5 8 Ans . 5
Q. The rate of interest for first 3 years is 6% per annum, for the next 4 years, 7 per cent per annum and for the period beyond 7 years, 7.5 percentages per annum. If a man lent out ` 1200 for 11 years, find the total interest earned by him? 1002 912 864 948 Ans . 912
Q. A sum of money doubles itself in 12 years. Find the rate percentage per annum 12.5% 8.33% 10% 7.51% Ans . 8.33%
Q. A certain sum of money amounts to ` 704 in 2 years and ` 800 in 5 years. Find the principal. 580 600 660 640 Ans . 640
Q. A sum of money was invested at SI at a certain rate for 3 years. Had it been invested at a 4% higher rate, it would have fetched ` 480 more. Find the principal. 4000 4400 5000 3500 Ans . 4000
Q. A certain sum of money trebles itself in 8 years. In how many years it will be five times? 22 16 20 24 Ans . 16
Q. If CI is charged on a certain sum for 2 years at 10% the amount becomes 605. Find the principal? 550 450 480 500 Ans . 500
Q. If the difference between the CI and SI on a certain sum of money is ` 72 at 12 per cent per annum for 2 years, then find the amount. 6000 5000 5500 6500 Ans . 5000
Q. The population of Jhumri Tilaiya increases by 10% in the first year, it increases by 20% in the second year and due to mass exodus, it decreases by 5% in the third year. What will be its population after 3 years, if today it is 10,000? 11,540 13,860 12,860 12,540 Ans . 12,540
Q. Seth Ankoosh Gawdekar borrows a sum of ` 1200 at the beginning of a year. After 4 months, ` 1800 more is borrowed at a rate of interest double the previous one. At the end of the year, the sum of interest on both the loans is ` 216. What is the first rate of interest per annum? 9 6 8 12 Ans . 6
Q. 1200 is lent out at 5% per annum simple interest for 3 years. Find the amount after 3 years 1380 1290 1470 1200 Ans . 1380
Q. Interest obtained on a sum of ` 5000 for 3 years is ` 1500. Find the rate percen 8 9 10 11 Ans . 10
Q. 2100 is lent at compound interest of 5% per annum for 2 years. Find the amount after two years 2300 2315.25 2310 2320 Ans . 2315.25
Q. 1694 is repaid after two years at compound interest. Which of the following is the value of the principal and the rate? 1200, 20% 1300, 15% 1400, 10% 1500, 12% Ans . 1400, 10%
Q. Find the difference between the simple and the compound interest at 5% per annum for 2 years on a principal of ` 2000 5 10.5 4.5 5.5 Ans . 5
Q. Find the rate of interest if the amount after 2 years of simple interest on a capital of ` 1200 is ` 1440 8 9 10 11 Ans . 10
Q. After how many years will a sum of ` 12,500 become ` 17,500 at the rate of 10% per annum? 2 3 4 5 Ans . 4
Q. What is the difference between the simple interest on a principal of ` 500 being calculated at 5% per annum for 3 years and 4% per annum for 4 years? 5 10 20 40 Ans . 5
Q. What is the simple interest on a sum of `700 if the rate of interest for the first 3 years is 8% per annum and for the last 2 years is 7.5% per annum? 269.5 283 273 280 Ans . 273
Q. What is the simple interest for 9 years on a sum of ` 800 if the rate of interest for the first 4 years is 8% per annum and for the last 4 years is 6% per annum? 400 392 352 cant say Ans . cant say
Q. What is the difference between compound interest and simple interest for the sum of ` 20,000 over a 2 year period if the compound interest is calculated at 20% and simple interest is calculated at 23%? 400 460 440 450 Ans . 400
Q. Find the compound interest on ` 1000 at the rate of 20% per annum for 18 months when interest is compounded halfyearly 331 1331 320 325 Ans . 331
Q. Find the principal if the interest compounded at the rate of 10% per annum for two years is ` 420 2000 2200 1000 1100 Ans . 2000
Q. Find the principal if compound interest is charged on the principal at the rate of 16 % per annum for two years and the sum becomes ` 196 140 154 150 144 Ans . 144
Q. The SBI lent ` 1331 to the Tata group at a compound interest and got ` 1728 after three years. What is the rate of interest charged if the interest is compounded annually? 11 9.09 12 8.33 Ans . 9.09
Q. In what time will ` 3300 become ` 3399 at 6% per annum interest compounded halfyearly? 6 months 1 year 1.5 years 3 months Ans . 6
Q. Ranjan purchased a Maruti van for ` 1,96,000 and the rate of depreciation is 14 2/7% per annum. Find the value of the van after two years 140000 144000 150000 160000 Ans . 144000
Q. At what percentage per annum, will ` 10,000 amount to 17,280 in three years? (Compound Interest being reckoned) 20 14 24 11 Ans . 20
Q. Vinay deposited ` 8000 in ICICI Bank, which pays him 12% interest per annum compounded quarterly. What is the amount that he receives after 15 months? 9274.2 9228.8 9314.3 9338.8 Ans . 9274.2
Q. What is the rate of simple interest for the first 4 years if the sum of ` 360 becomes ` 540 in 9 years and the rate of interest for the last 5 years is 6%? 4 5 3 6 Ans . 5
Q. Harsh makes a fixed deposit of ` 20,000 with the Bank of India for a period of 3 years. If the rate of interest be 13% SI per annum charged halfyearly, what amount will he get after 42 months? 27800 28100 29100 28500 Ans . 29100
Q. Ranjeet makes a deposit of ` 50,000 in the Punjab National Bank for a period of years. If the rate of interest is 12% per annum compounded halfyearly, find the maturity value of the money deposited by him. 66,911.27 66,123.34 67,925.95 65,550.8 Ans . 66911.27
Q. Vinod makes a deposit of ` 100,000 in Syndicate Bank for a period of 2 years. If the rate of interest be 12% per annum compounded halfyearly, what amount will he get after 2 years? 122,247.89 125,436.79 126,247.69 122436.89 Ans . 126247.69
Q. What will be the simple interest on ` 700 at 9% per annum for the period from February 5, 1994 to April 18, 1994? 12.60 11.30 15 13 Ans . 12.6
Q. Ajay borrows ` 1500 from two moneylenders. He pays interest at the rate of 12% per annum for one loan and at the rate of 14% per annum for the other. The total interest he pays for the entire year is ` 186. How much does he borrow at the rate of 12%? 1200 1300 1400 300 Ans . 1200
Q. A sum of money placed at compound interest doubles itself in 3 years. In how many years will it amount to 8 times itself? 9 8 27 7 Ans . 9
Q. A difference between the interest received from two different banks on ` 400 for 2 years is ` 4. What is the difference between their rates? 0.5 0.2 0.23 0.52 Ans . 0.5
Q. A sum of money doubles itself in 5 years. In how many years will it become four fold (if interest is compounded)? 15 10 20 12 Ans . 10
Q. A sum of money becomes 4 times at simple interest in 10 years. What is the rate of interest? 10 20 30 40 Ans . 30
Q. What annual payment will discharge a debt of ` 808 due in 2 years at 2% per annum? 200 300 400 350 Ans . 400
Q. In what time will ` 8000 amount to 40,000 at 4% per annum? (simple interest being reckoned) 100 50 110 160 Ans . 100
Q. Raju lent ` 400 to Ajay for 2 years, and ` 100 to Manoj for 4 years and received together from both ` 60 as interest. Find the rate of interest, simple interest being calculated 5 6 8 9 Ans . 5
Q. If the difference between the simple interest and compound interest on some principal amount at 20% per annum for 3 years is ` 48, then the principle amount must be 550 500 375 400 Ans . 375
Q. Shashikant derives an annual income of ` 688.25 from ` 10,000 invested partly at 8% p.a. and partly at 5% p.a. simple interest. How much of his money is invested at 5% ? 5000 4225 4800 3725 Ans . 3725
Q. In what time will ` 500 give ` 50 as interest at the rate of 5% per annum simple interest? 2 5 3 4 Ans . 2
Q. In what time will the simple interest on ` 1750 at 9% per annum be the same as that on ` 2500 at 10.5% per annum in 4 years? 6 years and 8 months 7 years and 3 months 6 years 7 years and 6 months Ans . 6 years and 8 months
Q. Two equal sums were borrowed at 8% simple interest per annum for 2 years and 3 years respectively. The difference in the interest was ` 56. The sum borrowed were 690 700 740 780 Ans . 700
Q. A sum of money is borrowed and paid back in two equal annual instalments of ` 882, allowing 5% compound interest. The sum borrowed was 1640 1680 1620 1700 Ans . 1640
Q. The difference between simple and compound interest on a sum of money at 5% per annum is ` 25. What is the sum? 5000 10000 4000 data insufficient Ans . data insufficient
Q. A sum was invested at simple interest at a certain interest for 2 years. It would have fetched ` 60 more had it been invested at 2% higher rate. What was the sum? 1500 1300 2500 1000 Ans . 1500
ProblemsQ. Find the simple interest on Rs. 3000 at rate of interest 6 1/4% for 73 days A. 73 days = 73/365 = 1/5 yrs. SI = (3000 * 25/4 * 1/5) / 100 Q. An amount loaned at interest rate 13.5% per annum becomes Rs. 2502.50 after 4 years. Find the sum. A. P + SI = P + P * 13.5 * 4 / 100 (Adding P on both sides) 2502.5 = P ( 1 + 54/100) 2502.5 = P (1.54) P = 2502.5 / 1.54 = 1625 Q. A borrowed money at interest rate 6% for first two years, 9% for next three years and 14% for period beyond 5 years. If he pays a total interest of Rs. 11400 after 9 yrs how much did he borrow? A. 11400 = (P *6*2/100) + (P*9*3/100) + (P*14*4/100) 11400 = (12+27+56)P / 100 11400 * 100 / 95 = P P = 12000 Q. A certain sum of money amounts to Rs 1008 in 2 years and Rs. 1164 in 3.5 yrs.Find sum and RI A. SI for 1.5 yrs = 1164  1008 = 156 SI for 1 yrs = 156 * 2 / 3 = 104 and two years = 208. Principal = 1008  208 = 800 Use simple interest formula to get RI. Q. A sum of 1500 is lent in 2 parts where one is at 8% and second is at 6%. If the total annual income is Rs. 106, find money lent at each rate. A. (x*1*8/100) + ((1500x) * 1 * 6 / 100 ) = 106 8x/100 + (9000  6x)/100 = 106 8x +9000  6x = 10600 2x = 1600 x=800 Compound InterestWhen P = principal, n = years and R = rate of interest compounded annually The Amount = P (1+R/100)^n When P = principal, R = rate of interest compounded half yearly theAmount = P ( 1 + (R/2) / 100)^2nWhen P = principal, R = rate of interest compounded quarterly the Amount = P ( 1 + (R/4) / 100)^4nWhen P = principal, R = rate of interest compounded annually but the time is in fraction then like 3 2/5 yrs Amount = P ( 1 + R / 100)^3 * (1 + (2R/5)/100) When P = principal, R = rate of interest compounded annually but is different for first year R1, second year R2 and third year R3 then Present worth of Rs. x due n years hence is Solved ProblemsQ. Find CI on Rs.7500, compounded annually at RI of 4% for 2 years. A. Amount = 7500 * (1 + 4/100)^2 Then amount  7500 gives CI. Q. CI is compounded half yearly, principal = Rs. 10000 in rate 4% for 2 years. A. Amount = 10000( 1+ 2/100)^4 Amount = 10824.32 CI = Amount  principal = 10824.32  10000 = 824.32 Q. Difference between SI and CI accrued on an amount of Rs. 18000 in 2 years is Rs.405. What is the RI. A. P( 1+ (R/100) )^n  P*R*T/100 = 405 {18000 ( 1 + (R/100))^2  18000}  (18000 * R * 2 / 100) = 405 Solving this you can get R. Q. Divide 1301 between A and B such that the amount of A after 7 years is equal to amount in B after 9 years. Interest is compounded at 4%. A. Let the amount be 'x' and 1301  x. x(1+4/100)^7 = (1301x)(1+4/100)^9 Solving this we can get 'x'. Q. A sum of money amounts to Rs.6690 after 3 years and Rs. 10035 after 6 years on CI. Find the sum. A. P(1+R/100)^3 = 6690 ; P(1+R/100)^6 = 10035 Dividing first eqn by second eqn we get (1+R/100)^3 = 10035/6690 = 3/2 Substituting this value in first equation we get P = 6690 * 2 / 3 = 4460. Q. A sum doubles itself in 9 years how many will it take to become 8 times. A. P(1+R/100)^9 = 2P (1+R/100)^9 = 2 Now finding P(1+R/100)^n = 8P we need to get (1 + R/100)^n = 8 but 8 = 2^3 (1+R/100)^n = (1 + R/100)^ 9 ^3 we know that A^b^c = A^b*c so (1+R/100)^n = (1 + R/100)^ 9*3 = (1 + R/100)^27 n = 27 CAT ProblemsQ.A sum of money compounded annually becomes Rs.625 in two years and Rs.675 in three years. The rate of interest per annum is
Ans.b QuizScore more than 80% marks and move ahead else stay back and read again! In what time will ₹ 800 amount to ₹ 882 at 10% per annum compounded half yearly?n=2; Hence number of conversion period is 2 and the required time =2n=22=1 year. In what time will rupees 1800 amount to rupees 882 at 5% per annum compounded annually?∴t=2 years. Q. At what time will rupees 8000 amount to 8820 at 5% per annum compounded annually?8820. Hence, it takes 2 years for the amount Rs. 8000 to change to Rs. 8820 when it is compounded at the rate of 5 % annually. At what rate of compound interest will Rs 1250 amount to Rs 1800 in 2 years 2 points?Therefore, the rate is 20%. In what time will 8000 amount to 8820 at 5% pa interest compounded half yearly?Hence, it takes 2 years for the amount Rs. 8000 to change to Rs. 8820 when it is compounded at the rate of 5 % annually.
In what time will Rs 8000 amounts to Rs 8820 at 10% per annum if interest being compounded half yearly?n=2; Hence number of conversion period is 2 and the required time =2n=22=1 year. Was this answer helpful?
What is the compound interest on 8000 at 10%?<br>So , Compound Interest `=` Rs `9261 ` Rs `8000 =` Rs `1261`.
What is the compound interest on 8000 at 10% pa for 2 years if the interest is?C.I.
= ₹9680 — ₹8000. ➨ C.I. = ₹1680.

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