What sum invested for 1 and half years compounded half yearly at the rate 8% pa will amount to rupees 140608?

Mohammed

Guys, does anyone know the answer?

get find the difference between the simple interest and compound interest on rs 5000 for 2 years at 8% per annum from screen.

Click here👆to get an answer to your question ✍️ Find the difference between the compound interest and simple interest on Rs 5,000 for two years at 9

What sum invested for 1 and half years compounded half yearly at the rate 8% pa will amount to rupees 140608?

Question

Find the difference between the compound interest and simple interest on Rs 5,000 for two years at 9%  per annum.

Hard Open in App Solution Verified by Toppr We know, S.I= 100 P×R×T ​ = 100 5000×9×2 ​ =900Rs. A=P(1+ 100 R ​ ) n =5000(1+ 100 9 ​ ) 2 A=Rs. 5940.5

C.I.=A−P=5940.5−5000

=940.5 Difference=C.I−S.I =940.5−900 =40.5 Rs.

Was this answer helpful?

276 18

स्रोत : www.toppr.com

Find the difference between the simple interest and the compound interest on Rs 5000 for 2 years at 9 % per annum.

Find the difference between the simple interest and the compound interest on Rs 5000 for 2 years at 9 % per annum.

What sum invested for 1 and half years compounded half yearly at the rate 8% pa will amount to rupees 140608?

Home >

Find the difference between the simple interest and the compound interest on Rs 5000 for 2 years at 9 % per annum.

Question

Find the difference between the simple interest and the compound interest on

R s . 5000 for 2 years at 9 % per annum. Solution Principal ( P ) = R s . 5000 Rate ( R ) = 9 % p.a. Time ( n ) = 2 years ∴ S . I = P × R × T 100 = 5000 × 9 × 2 100 = R s . 900 Now, Amount at C . I = P ( 1 + R 100 ) n = R s .5000 ( 1 + 9 100 ) 2 = R s . 5000 × 109 100 × 109 100 = R s . 11881 2 = R s . 5940.50 ∴ C . I = A − P = R s . 5940.50 − R s . 5000 = R s . 5940.50 − 5000 = R s . 940.50 ∴ Difference between C . I . and S . I = R s . 940.50 − R s . 900 = R s . 40.50

MathematicsSecondary School Mathematics VIIIStandard VIII

Suggest Corrections 33

What sum invested for 1 and half years compounded half yearly at the rate 8% pa will amount to rupees 140608?

SIMILAR QUESTIONS

Q. Find the difference between Simple interest and Compound interest on Rs.

15 , 000 for 2 years, at 10 % per annum. Mathematics

Q. Find the difference between the simple interest and compound interest on

R s 4800 for 2 years at 5 %

per annum, compound interest being reckoned annually.

Mathematics

SAME EXERCISE QUESTIONS

Q.

Find the difference between the simple interest and the compound interest on

R s . 5000 for 2 years at 9 % per annum. Mathematics

Q.

Ratna obtained a loan of Rs 25000 from the Syndicate Bank to renovate her house. If the rate of interest is

8 %

per annum, what amount will she have to pay to the bank after 2 years to discharge her debt ?

Mathematics View More

PEOPLE ALSO SEARCHED FOR

Q. Four times a certain two digit number is seven times the number obtained on interchanging its digits. If the difference between the digit is

4 , find the number. Mathematics

Q. What sum invested for

1 1 2

years compounded half-yearly at the rate

8 % p . a . will amount to R s .140608 ? Mathematics View More

स्रोत : byjus.com

Find the difference between SI and CI on Rs 5000 for class 8 maths CBSE

Find the difference between SI and CI on Rs 5000 for 2 years at 6 per annum

Find the difference between S.I. and C.I. on Rs. 5000 for 2 years at

6% 6% per annum. Answer Verified 175.8k+ views 1 likes

Hint: We need to find the knowledge about simple interest and compound interest. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments. The formula for the simple interest is

Simple interest(S.I.) =

P×n×r 100

Simple interest(S.I.) = P×n×r100

where P = principal value, n = number of years, r = the rate of interest. Compound interest is interest calculated on the initial principal which also includes all the accumulated interest from the previous periods.

Complete step-by-step answer:

The formula for compound interest is

A=P (1+ r 100 ) n A=P(1+r100)n

where A = amount of previous value, P = principal value, n = number of years, r = the rate of interest.

We need to understand the simple interest and compound interest

Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

The formula for the simple interest is given as follows,

Simple interest(S.I.) =

P×n×r 100

..................(i)

Simple interest(S.I.) = P×n×r100..................(i)

,

where P = principal value,

n = number of years

r = the rate of interest.

Compound interest is interest calculated on the initial principal which also includes all the accumulated interest from the previous periods.

The formula for compound interest is as follows

A=P (1+ r 100 ) n ...........(ii)

A=P(1+r100)n...........(ii)

where A = amount of previous value,

P = principal value,

n = number of years,

r = the rate of interest.

Now, we need to find the simple interest and the compound interest of the situation we have been given,

We have, P = Rs. 5000,

n = 2 years, r = 6% 6% ,

Substituting in the above equation we get,

Simple interest(S.I.) =

5000×2×6 100 =600

Simple interest(S.I.) = 5000×2×6100=600

Therefore, the simple interest is Rs. 600.

Now we need to substitute the same values in the formula for compound interest

A=5000 (1+ 6 100 ) 2 A=5000(1+6100)2

Solving the equation, we get,

A=5000 (1.06) 2 =5000×1.1236 =5618

A=5000(1.06)2=5000×1.1236=5618

The compound interest is given by C.I. = Amount – principal amount.

Therefore, by substituting the values, we get,

C.I. = 5618 – 5000 = 618.

Therefore, the compound interest is Rs. 618.

We need to find the difference between simple interest and compound interest.

The difference between simple and compound interest is 618 – 600 = RS. 18.

Note: The answer we get from the compound interest formula is the amount and not the compound interest. We can find the compound interest by subtracting the principal from principal value. We do not need to worry about the sign while finding the difference between simple interest and compound interest.

Read More

What sum invested for 1 and half years compounded half yearly at the rate 8% pa will amount to rupees 140608?

Latest Vedantu courses for you

Grade 8 | CBSE | SCHOOL | English

Class 8 CBSE 2022-23

Academic year 2022-23

ENGLISH

Unlimited access till final school exam

School Full course for CBSE students

500+ chapter specific short courses

Maths Science English ₹5,000 per year Select and buy Trending doubts

Find six rational numbers between 3 and 4 Find five class 8 maths CBSE

The difference between the upper and lower limit is class 8 maths CBSE

Find the five rational numbers between 3 and 4 class 8 maths CBSE

The number which is neither prime nor composite is class 8 maths CBSE

Let d be the HCF of 24 and 36 Find two numbers a a-class-8-maths-CBSE

What is closure property class 8 maths CBSE

1 Give an example of 2 irrational numbers whose sum class 8 maths CBSE

A fruit seller had some apples He sells 40 apples -class-8-maths-CBSE

Robert is travelling on his cycle and has calculated class 8 maths CBSE

Related Questions A bank offers 5% 5%

compound interest calculated on a half-yearly basis. A customer deposits Rs.

16000 16000 each on 1st 1st January and 1st 1st

July of a year. At the end of the year, the amount he would have gained by the way of interest is-

A. Rs.1200 Rs.1200 B. Rs.1210 Rs.1210 C. Rs.1220 Rs.1220 D. Rs.1230 Rs.1230

Determine the compound interest and compound amount on Rs.1000 at 6% compounded semiannually for 6 years. Given that

(1+i) n (1+i)n

=1.42576 for i = 3% and n = 12.

A. 16000 B. 630.50 C. 425.76 D. 1640

A. 16000B. 630.50C. 425.76D. 1640

स्रोत : www.vedantu.com

What sum invested for 1 and half years compounded half yearly at the rate 8%?

Find the sum invested for 112 years compounded half-yearly at the rate of 8% per annum. that will amount to Rs. 17576.

What sum invested for 1 1 )/( 2 years compounded half yearly at the rate 8% pa will amount to 140608?

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.

What sum is 1.5 years compounded half yearly?

12000 is invested for 1.5 years which will be compounded half yearly at a rate of 10%.

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..