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R 15 Veto follow us: facebook.com/vetotrivandrum 14 Simple interest Important Formulae Principal = P Rate = R% Time = N years then Simple Interest SI P× N× R = 100 SI × 100 P = N× R SI × 100 N = P× R 100× SI R = P× N 1. Fine the interest on Rs.1000 at 5% For 10 years a. 200 b. 500 c. 800 d. 1000 Ans (b) P× N× R 1000× 10× 5 SI . = = = 500 100 100 2. Find the interest on Rs. 5000 at 10% for 9 months a. 250 b. 300 c. 350 d. 375 Ans (d) 9 5000× 10× P× N× R SI . = = 12 = 375 100 100 amks¯ hÀj-am-¡m³ 12 sIm≠ v lcn-¡Ww 3. Find the interest on Rs. 7300 at 5% for 100 days a. 50 b. 100 c. 500 d. 600 Ans: (b) 100× 5 7300× ü × × ü 7300× 100× 5 SI . = = = = 100 100 100 365× 100 Znh-ks¯ hÀj-am-¡m³ 365 sIm≠ v lcn-¡Ww 4. Find the interest on Rs. 1460 at 10% from 5th February 1992 to 25th April 1992 a. 32 b. 1492 c. 85 d. 1225 P = 1460 R=10% N = 25+31+24 = 80 days Ah-km\ Znh-k-¯nsâ Xtev hsc-bpÅ ]eni am{Xta IW-¡m-¡p-I-bpÅq Ans : (a) hnPbIpamÀ imkvXmwtIm« 80 1460× 10× 365 1460× 10× 80 I = = = 32 100 365× 100 5. Find the interest and amount after 8 years on investment of Rs. 2000 at 5% a. 1000,8000 b. 1000,800 c. 800,2800 d. 400, 2300 Ans: (c) Here, P =2000 r=5% N= 8 years PNR 2000× 5× 8 SI = = = 800 100 100 Amount (A) = P + SI = 2000+800 = 2800 6. At what rate of interest will a sum of Rs.2000 earn an interest of Rs. 400 in 5 year a. 3% b. 4% c. 5% d. 8% Ans: (b) P = 2000 I = 400 N =5 100× I 100× 400 R = = = 4% P× N 2000× 5 7. At what rate percent per annum will a sum of Rs.5000 amont to Rs. 6000 in 4 years? a. 2% b. 3% c. 5% d. 9% Ans: (c) Here P = 5000 A=Rs.6000 N=4 years I = A-P = 6000 - 5000 = 1000 100× I 100× 1000 R = = = 5% P× N 5000× 4 8. In what time will Rs. 1200 earn an interest of Rs. 240 at 5% per annum? a. 2 b. 3 c. 5 d. 4 Ans : (d) Here P =1200 I= 240 d. R=5% 100× I 100× 240 N = = = 4years P× R 1200× 5 9. In what time will Rs. 6000 amount to Rs. 7200 at 4% per annum? a. 5 b.8 c.10 d. 12 Ans: (a) Here P = 6000 A = Rs. 7200 R = 4% I = A-P = 7200 - 6000 = 1200 100× I 100× 1200 N = = = 5years P× R 6000× 4 10. Ram lent Rs. 1200 to Syam for 5 years and Rs. 1500 to Mohan for 2 years and received altogether Rs. 900 as interest. Find the rate per annum? a. 5% b. 10% c. 15% d. 20% Ans : (b) Short Cut 100I r = PN + PN 1 1 2 2 100× 900 90,000 r = = = 10% 1200 5 1500 2 9,000 ( × ) + ( × ) 11. In how many years will a sum of money double itslef at 5% rate of interest? a. 10 b. 12 c. 15 d. 20 Short Cut km[m-cW ]en-i-\n-c-¡nÂ Hcp XpI Cc-«n- ¡p -hÀjw XmÂ \nc¡v = 100 hÀjw = 100 hÀjw \nc¡v 100 N = = 20years 5 Ans : (d) 12. At what rate percent per annum will a sum of money double itself in 15 years? 2 3 1 1 a. 6 % b. 6 % c. 10 % d. 15 % 3 2 3 2 100 20 2 R = = = 6 % 15 3 3 13. A certain sum of money trebles itself in 5 years at simple interest. Find the rate percent per annum a. 10% b. 20% c. 30% d. 40% Short Cut A sum of money becomes ‘n’ times in ‘t’ years at simple interest. Find the rate of interest per annum 100( n −1 ) r = % t Ans : (d) 14. Ram invests a certain sum at 20% per annum simple interest. In how many years will it become four times? a. 5 b. 10 c. 15 d. 20 Short cut 100( n −1) t = years r Here n =4 r= 20 100(4 − 1) 100× 3 t ℵ 15 years 20 20 Ans : (c)
R 15 Veto follow us: facebook.com/vetotrivandrum 15 15. A certain sum of money doubles itself in 5 years at simple interest. In how many years it becomes 7 times? a. 15 b. 20 c. 30 d. 25 km[m-cW ]eni {]Imcw Hcp XpI Cc-«n- ¡p hÀjw XmÂ aS-§m-Ip hÀjw ImWm³ Cc-«n-¡p hÀjw (a-S§v þ 1) N = 5 x ( 7 - 1 ) = 5 x 6 = 30 Ans: (c) 16. A certain sum of money doubles itself in 16 years at simple interest. In how many years it becomes 3 times? a. 12 b. 20 c. 26 d. 32 N = 16 x (3-1) = 16 x 2 = 32 Ans: (d) 17. A person invests a certain sum at a certain rate of simple interest for 4 years. Had he invested it at 2% higher, he would have earned Rs. 240 more. find the sum he invested. a. 3000 b. 2000 c. 4000 d. 5000 Short cut Difference in interest earned×100 Investment = Time×Difference in rate of interest Here I = 240 N = 4 years r = 2% 100I 100× 240 P = = = 3000 rN 2× 4 Ans: (a) Previous questions on simple interest 1. In how many years will a sum of money triple itself, the rate of interest being 10%? (a) 15 years (b) 20 years (c) 10 years (d) 18 years [University Asst. 2016] Ans: (a) 15 years 2. Gokul took a certain amount as a loan from a bank at the rate of 8% simple interest per annum and gave the same amount to Alok as a loan at the rate of 12% simple interest per annum. If at the end of 12 years he made a profit of Rs.480. In the deal, what was the original amount? (a) Rs.2000 (b Rs.1000 (c) Rs.3000 (d) Rs.4000 [Asst. Gr.II. KSB] Ans: (b) Rs.1000 3. If a sum of money at simple interest double itself in 6 years, it will become four times in (a) 14 years (b) 12 years (c) 18 years (d) 16 years [Cochin University Asst. Gr. II] Ans: (c) 18 years 4. At what rate percent of simple interest will sum of money double itself in 12 years? (a) 33/4% (b) 25/3% (c) 17/2% (d) 19/2% [Deputy Collector - 2011] Ans: (b) 25/3% 5. What is the simple interest for Rs.8000 at 8% per annum? (a) 64 (b) 640 (c) 160 (d) 1600 [LDC - Beverages] Ans: (b) 640 6. At simple interest in how many years will a sum of money double itselt at 12% per annum? (a) 8 years 6 months (b) 8 years 5 months (c) 8 years 8 months (d) 8 years 4 months [Sales Asst. 2013] Ans: (d) 8 years 4 months 7. A sum of money amount of Rs.8000 in 2 years and Rs.9500 in 3 years. the rate of simple interest is: (a) 20% (b) 25% (c) 30% (d) 31.57% [Forester - 2012] Ans: (c) 30% 8. An amount becomes Rs.11300 in 2 years and Rs.12600 in 4 years. The rate, if calculated at simple interest is: (a) 13% (b) 10.5% (c) 6.5% (d) 8.5% [Fireman (Trainee) - 2010] Ans: (c) 6.5% 9. Interest on Rs.1000 for 146 days at the rate of 10% per annum? (a) 80 (b) 45 (c) 50 (d) 40 [Sales Man / Women - 2010] Ans: (d) 40 10. At what percentage per annum will a sum of money double in 8 years? (a) 10% (b) 11% (c) 12% (d) 12.5% [Fireman (Trainee) - 2009] Ans: (d) 12.5 65þmw tZiob Ne¨n{X ]pckvImcw ZmZm kmln_v ^mÂt¡ ]pckvImcw anI¨ kwhn[mbI³ anI¨ Nn{Xw anI¨ \S³ anI¨ \Sn anI¨ kwKoX kwhn[m\w anI¨ kl\S³ anI¨ KmbI³ anI¨ Xnc¡Y anI¨ Ahew_nX Xnc¡Y anI¨ Iymadmam³ anI¨ kmaqlnI {]Xn_²Xbpff Nn{Xw anI¨ aebmf kn\na anI¨ tZiotbmZv{KY\ Nn{Xw ]cnØnXn Nn{Xw hnt\mZv J PbcmPv (Nn{Xw þ `bm\Iw) hntÃPv tdmIvÌmgvkv (Akmaokv) E²n sk³ (Nn{Xw : \KÀ IoÀ¯³, _wKmfn) {iotZhn (Nn{Xw : tamw, lnµn) F.BÀ. dlvam³ ^lZv ^mknÂ (Nn{Xw: tSIv Hm^v, sXm ≠napXepw ZrIvkm£nbpw) sI.sP. tbipZmkv (t]mbvadªImew þ hnizmk]qÀÆw a³kqÀ) kPohv ]mgqÀ (sXm≠napXepw ZrIvkm£nbpw) PbcmPv (`bm\Iw) \nJnÂ.Fkv. {]ho¬ (`bm\Iw) Bsfmcp¡w sXm≠ napXepw ZrIvkm£nbpw (kwhn[m\w : Zneojv t]m¯³) [m¸ (adm¯n) CcmZ Ip«nIfpsS anI¨ Nn{Xw tamÀJy (adm¯n) `\nX Zmkv _meXmcw (hntÃPv tdmIvÌmgvkv) anI¨ P\{]nb Nn{Xw _mlp_en 2 anI¨ \hmKX kwhn[mbI\pff CµncmKmÔn kµo]v ]m¼ffn ]pckvImcw {]tXyI ]cmaÀiw tSIv Hm^v (aebmfw ) Pqdn sNbÀam³ tiJÀ I]qÀ
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