A sum of money at simple interest doubles in 7 years. It will become four times in:A. 18 years Show
B. 21 years C. 38 years D. 42 years Answer: Option B Solution(By Examveda Team)$$\eqalign{ & {\text{Let sum}} = {\text{Rs}}{\text{. }}x \cr & {\text{Then,}} \cr & {\text{S}}{\text{.I}}{\text{.}} = {\text{Rs}}{\text{.}}\,x \cr & \therefore \text{Rate}\,\% \cr & = \left( {\frac{{100 \times x}}{{x \times 7}}} \right)\% \cr & = \frac{{100}}{7}\% \cr & {\text{Now, sum}} = {\text{Rs}}{\text{. }}x \cr & {\text{S}}{\text{.I}}. = {\text{Rs}}{\text{. }}3x \cr & \text{Rate} = \frac{{100}}{7}\% \cr & \therefore {\text{Total Time}} \cr & = \left( {\frac{{100 \times 3x}}{{x \times \frac{{100}}{7}}}} \right){\text{years}} \cr & = 21\,{\text{years}} \cr} $$ Click here to read 1000+ Related Questions on Interest(Arithmetic Ability)A sum of money, lent out at simple interest, doubles itself in 8 years. Find : SolutionLet P = Rs.100, A = Rs.200 I = Rs.200 − Rs.100 = Rs.100, T = 8 years R =`(100xx"I")/("P"xx"T")=(100xx100)/(100xx8)` `=100/8=25/2%` Now again P = Rs.100 A = Rs.300 I = Rs.300 − Rs.100 = Rs.200 R = `25/2%` T =`(100xx"I")/("P"xx"R")=(100xx200)/(100xx25/2)=(100xx200xx2)/(100xx25)` = 16 Years So the given sum of money will become triple in 16 years. Concept: Concept of Principal, Interest, Amount, and Simple Interest Is there an error in this question or solution? APPEARS INAnswer Verified
Hint:- In 8 years money from Interest will be come equal to the principal Let the initial amount of money invested will be Rs. x. So, now we will use a simple interest formula. So, putting the values in the above formula. We will get, Hence, the rate of interest to double a money in 8 years will be 12.5% per annum. Note:- Whenever we came up with this type of problem where we are asked
to # Jobs A sum doubles in 8 years at simple interest. In how many years will the sum become 4 times the original sum? Option 1) 16 Option 2) 24 (adsbygoogle = window.adsbygoogle || []).push({}); Option 3) 64Option 4) 40Option 5) 32Answers (1) R rishi.raj let the sum is P then P becomes 2P in 8 years p >> 8 years >>>2p>>>8 year >>>3p >>>8 years >> 4p 8+8+8 = 24 years Because it is always equal In all years Uh-Oh! That’s all you get for now. We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now Uh-Oh! That’s all you get for now. We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now No worries! We‘ve got your back. Try BYJU‘S free classes today! No worries! We‘ve got your back. Try BYJU‘S free classes today! Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses No worries! We‘ve got your back. Try BYJU‘S free classes today! No worries! We‘ve got your back. Try BYJU‘S free classes today! Solution The correct option is C 24 yearsPrincipal amount = x, SI = x, for y rate of interest x=x×y100×6 y=503% For principal amount x, SI = 4x and rate = 503% 4x=x×503×1100×t t = 4 × 6 = 24 yearsSolve Textbooks Question Papers |