MPORTANT TRICKS: COMPOUND INTEREST 1. ONE YEAR OF SIMPLE INTEREST = ONE YEAR OF COMPOUND INTEREST. 2. THE AMOUNT AT THE END OF FIRST YEAR (OR PERIOD) WILL BECOME THE PRINCIPAL FOR THE SECOND YEAR(OR PERIOD) AND AMOUNT AT THE END OF SECOND YEAR (OR PERIOD) BECOMES THE PRINCIPAL FOR THIRD YEAR. AMOUNT = PRINCIPAL + INTEREST.. EG. 1000 @ 10% FOR 1 YEAR..FIND SIMPLE INTEREST AND COMPOUND INTEREST. S.I = 1000 X 10 X 1 / 100 = RS. 100 AMOUNT = 1000 ( 1+ 10 / 100)1 = RS. 1100 ( THIS IS AMOUNT FORMULA) C.I= 1100 - 1000 = RS. 100 ( MANY STUDENTS FORGET TO MINUS PRINCIPLE) FOR 2 YEARS= S.I = 1000 X 10 X 2 / 100 = RS. 200 COMPOUND INTEREST FOR 2 YEARS: A = 1000 ( 1 + 10 /100)POWER 2 = RS. 1210 C.I = 1210 - 1000= RS. 210. NOW YOU CAN SEE THE DIFFERENCE IN INTEREST IS RS. 10. TYPE1= IF THE DIFFERENCE BETWEEN S.I AND C.I IS RUPEES 10 . AND RATE IS 10% FOR 2 YEARS.. CALCULATE THE PRINCIPAL/MONEY? TRICK = PRINCIPAL = DIFF. IN INTEREST X ( 100 / RATE)POWER2 ( pls note : last POWER2 indicate the SQUARE) = 10 x ( 100 / 10)POWER2 = rs. 1000. YEP...WE TAKE THAT PRINCIPAL..SEE ON TOP.. EG.2 - IF THE DIFFERENCE BETWEEN S.I AND C.I IS RS. 320. AND RATE OF INTEREST IS 8% FOR 2 YEARS..CALCULATE THE SUM OF MONEY/PRINCIPAL ? USE TRICK= 320 X ( 100 /POWER2 = RS. 50000 ANS. NOTE; THIS TRICK VALID FOR 2YEARS QUESTIONS... FOR 3 YEARS SEE NEXT TRICK ( GEN. 2,OR 3 YEAR INTEREST DIFFERENCE QUESTION COMES); TYPE2. IF DIFFERENCE BETWEEN S.I AND C.I IS RS. 279. RATE OF INTEREST 10 % FOR 3 YEARS. CALCULATE THE PRINCIPAL? TRICK= PRINCIPAL = DIFF. IN INTEREST X ( 100 / RATE)POWER2 X ( 100 / 300 + RATE) (IN THIS RULE LAST PART COMES ) = 279 X ( 100 / 10 )POWER2 X (100 / 310) = RS. 9000 TYPE3. ( RELATED TO TYPE1) IFA SUM OF MONEY RS. 1800 IS GIVIEN @ 10 % FOR 2 YEARS. CALCULATE THE DIFFERENCE BETWEEN SIMPLE INTREST AND COMPOUND INTEREST ON SAME? TRICK - JUST SEE TRICK1- PRINCIPAL = DIFF. IN INTEREST X ( 100 / RATE )POWER2 DIFF. IN INTEREST = PRINCIPAL X ( RATE / 100 )POWER2 PUT THE VALUES, = 1800 X ( 10 / 100 )POWER2 = RS. 18. TYPE4. (RELATED TO TYPE 2) A SUM OF RS. 16000 FOR 3 YEAR @ 5%. CALCULATE THE DIFFERENCE BETWEEN S.I AND C.I FOR SAME? TRICK= USE TRICK 2 BE SMART ,PUT VALUES DIRECTLY: = 16000 X ( 5 / 100)POWER2 X ( 305 / 100 ) = RS. 122. TYPE5. IF RATE, TIME AND INTEREST IS GIVEN FOR S.I / C.I (ONLY ONE) AND ASKED TO CALCULATE THE INTEREST OF OTHER .. TRICK- 200 + R / 200 = C.I / S.I ( S.I MEANS SIMPLE INTEREST AND C.I MEANS COMPOUND INTEREST) EG. IF THE COMPOUND INTEREST OF 2 YEAR OF A SUM OF MONEY IS RS. 840 ..RATE IS @ 10 %. CALCULATE IF IT HAD GIVEN FOR SIMPLE INTEREST. USE TRICK, = 200 + 10 / 200 = 840 / S.I = 210 / 200 = 840 / S.I = S.I = RS. 800 NOTE: FOR 2 YEARS.. FOR 3 YEARS SEE NEXT ONE ...( 1 YEAR KI TO EQUAL HI HOTI HAI NA C.I AND S.I) TYPE6. USE SAME TRICK ABOVE; S.I = 300 X C.I / (300 + 3.RATE + RATE TO POWER2 / 100) Q. IF COMPOUND INTEREST ON A SUM OF MONEY FOR 3 YEARS @ 5% IS 1250.. FIND THE VAULE OF SIMPLE INTEREST ON SAME MONEY/ PRINCIPAL? S.I = 300 X 1250 / ( 300 + 3 X 5 + 25 / 100) = RS. 1189.5 TRICK8. IF A SUM OF MONEY GETS TRIPLE IN 2 YEARS..IN HOW MANY YEARS SAME MONEY WILL CHANGES TO 9 TIMES? RULE- 2 YEARS - 3TIMES ( TAKE POWER AS 1 IN ALL QUESTIONS) ? - 9 TIMES ( SEE 3 RAISE TO POWER 2 IS = 9 , 3 KA SQAURE 9 HAI NA) (ALWAYS COMPARE MULIPLY 1 AND MULTIPLY 2..MULTIPLY 2 WILL ALWAYS IN SQUARE ROOT OR IN CUBE ROOT OF 1) (NOTE: POWER1 WILL REMAIN 1 FOR ALL QUESTIONS OF THIS TYPE) POWER(1)- 1 , POWER(2) - 2 TRICK = POWER(2) / POWER(1) X TIME 1 ( WHICH IS GIEN IN QUES.) = 2 / 1 X 2 = 4 YEAR READ CAREFULLY TYPE9 . BEFORE SEE THIS..SEE TYPE8.. Q. IF A SUM OF MONEY GETS 4TIMES IN 3 YEARS. THAN HOW MANY TIMES IT GETS IN 6YEARS? TRICK- 3YEAR- 4TIMES (2 KI POWER 2) 1ST POWER... (1) (NOTE; 2 ISLEY LIYA KYUKI 2 KI TABLE ME 4 AATA HAI, AGAR 4 KI JAGAH 9 HOTA TO HUM 3 LETE..SO.ON) 6YEAR- ? TIMES ( LET 2 KI POWER N) 2ND POWER..(2) RULE - FIRST POWER / TIME 1 = SECOND POWER / TIME2 = 2 / 3 = N / 6 = N= 4 PUT N= 4 IN( 2) EQUATION... 2 KI POWER 4 = 16 TIMES... TRY TO SOLVE OTHER EG. OF SAME TYPE..
Posted on: Thu, 11 Sep 2014 09:47:38 +0000