The difference between CI and SI is 46
The difference between CI and SI on a sum of Rs.5000 for the period of two years is 72. Find the ratio of CI to SI.
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Answer (Detailed Solution Below)Option 1 : 53 : 50 Given CI - SI = 72 t = 2 years Formula used CI - SI = P(r/100)2 CI/SI = (200 + r)/200 Calculation CI - SI = P(r/100)2 ⇒ 72 = 5000 × (r/100)2 ⇒ 72 = 5000 × r2/10000 ⇒ r2 = 72 × 2 = 144 ⇒ r = 12 % CI/SI = (200 + r)/200 ⇒ CI/SI = (200 + 12)/200 ⇒ 212/200 ⇒ 53/50 ∴ The ratio of CI to SI is 53 : 50. Let's discuss the concepts related to Interest and Compound Interest. Explore more from Quantitative Aptitude here. Learn now! hello everyone that is all that you are saying that difference in simple interest and compound interest on a certain sum of money at 6 and 2.3 % per and determine the sum means we have to find out the principal the formula for compound interest compound interest is equal to principal oneplus r100 power and -1 so this is what is the formula for simple interest this is equal to principal x rate of interest X time EP 109 item please equal to principal R is equal to rate of interest and t is equal to N the physical to time period we know that compound interest minus simple interest this is equal to 46 rupees given three years to find out the principal ok we know the rate of interest is equal to 6.6 and 2.3 this means and return 86 and 2 upon 3 becomes 2332 interest age 20 upon 3% know what is time period this is equal to 3 years three years cute all the values in the foreigner for compound interest and simple interest and simplified so we get it we have to find out oneplus Arif 20 upon 3 X hundred whole power 3 minus 1 minus principal rate is 23300 and difference is equal to 46 simplify oneplus 2000 can be written as 2504 5:15 take LCM this weekend so sorry so this becomes one upon 15 to the power 3 minus one 382345 and is equal to 46 take LCM 15 15 15 15 whole power 3 minus 5 is equal to 45 not open the decade we get p x 16.15 whole cube minus b minus 3.5 this is equal 46 now open the cubes so we get 4096 this is the cube of 16 upon 3375 this is a cube of 50p minus b minus 5 is equal to 46 noting the LCM in the left hand side that will be 33759 simplified billiard 4096 33375 minus divide 3375 with we get 675 this is equal to 46 now simplify the numerator and get 46p in the numerator when we simplify upon 3375 this is equal to 46 now cross multiply and find out the value of P is equal to 46 X 3375 upon 46 46 46 we get is equal to 3375 this is the required some service in the required some the required age rupees 335 this is final per
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What is the relation between S.I and CI?FAQs
What is CI and S.I formula?SI Formula. S.I. = Principal × Rate × Time. CI Formula. C.I. = Principal (1 + Rate)Time − Principal.
What is the difference between the S.I and CI for a period of two years?The major difference between simple interest and compound interest is that simple interest is based on the principal amount. In contrast, compound interest is based on the principal amount and the interest compounded for a cycle of the period.
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