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| What sum invested for 1½ years, compounded half yearly at the rate of 4% p.a., amounts to Rs. 1,32,651? Please scroll down to see the correct answer and solution guide. Right Answer is: DSOLUTIONGiven Amounts = Rs. 1,32,651 Time = 3/2 years Rate = 4% Compounded half yearly Concept A = P × (1 + r/100)t When compounded half yearly Rate become half and Time become double (As in 1 year 12 months = 6 months + 6 months) Calculation Time = 3 years Rate = 2% ⇒ 132651 = P × (1 + (2/100))3 ⇒ 132651 = P × (1 + (1/50))3 ⇒ 132651 = P × (51/50)3 ⇒ P = (132651 × 50 × 50 × 50)/(51 × 51 × 51) Note:- 513 = 132651 ⇒ P = Rs. 125000 ∴ Sum = Rs. 125000 Related QuestionsNo 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 B₹13891.5In compound Interest A = P(1+R100)nGiven,P = ₹12000T = 1.5 years = 3 half-years (adsbygoogle = window.adsbygoogle || []).push({}); (∵ the interest is compounded half−yearly,so T =1.5×2)R = 5% (∵ the interest is compounded half−yearly,so R =102)A =12000×[1+102×100]3 A = ₹13891.5Textbooks Question Papers Given Amount (A) = Rs 140608 Rate (R) = 8% p.a. = 4% half-yearly Period (n) ==1 \frac{1}{2} \text { years } = 3 half-year A = P {1 + (R / 100)}n 140608 = P {1 + (4 / 100)}3 140608 = P (26 / 25)3 Therefore, P = 140608 × (25 / 26) × (25 / 26) × (25 / 26) On further calculation, we get, P = Rs 125000 Hence, Principal = Rs 125000 What sum invested for 1.5 years compounded half yearly at the rate of 4% pa will amount to Rs 132651?125000$ is compounded half-yearly for $1.5$ years at a rate of interest of $4\% $ p.a. to get the final amount as $Rs. 132651$. Therefore, $Rs. 125000$ is the correct principal amount.
What sum invested for 1 and half years compounded half yearly at the rate of 4% per annum will amount to rupees?=125000.
How do you calculate compound interest for 1.5 years compounded annually?Detailed Solution. Given: P = Rs. 15000, R = 20%, T = 1.5 year.. Concept used: When Calculating semi annually, rate gets halved and time gets doubled.. Calculation: C.I. semi annually ⇒ R = 10%, T = 3 years. C.I. = P [(1 + R/100)T -1] C.I. = 15000[(1 + 10/100)3 -1] = 15000 × (1331 – 1000) × 1000. = 15 × 331. ⇒ C.I. = Rs. 4965.. What sum invested for amount to 140608 1 1 2 years compounded half yearly at the rate 8% pa will?125000. Step-by-step explanation: Given : Sum invested for 1 whole 1 upon 2 years compounded half yearly at the rate 8% per annum will amount to rupees 140608.
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What sum invested for 1.5 years compounded half yearly at the rate of 4% per annum amounts to 1 32651?
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