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# fabina borrows ₹ 12 , 500 at 12 % per annum for 3 years at simple interest and radha borrows the same amount for the same time period at 10 % per annum, compounded annually. who pays more interest and by how much?

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## Fabina borrows Rs 12,500 at 12% per annum for 3 years at simple interest and Radhs bororows the same amount for the same time period at 10% per annum compounded annually. Who pays more interest and by how much?

Click here👆to get an answer to your question ✍️ Fabina borrows Rs 12,500 at 12% per annum for 3 years at simple interest and Radhs bororows the same amount for the same time period at 10% per annum compounded annually. Who pays more interest and by how much? Question

## Fabina borrows Rs 12,500 at 12% per annum for 3 years at simple interest and Radhs bororows the same amount for the same time period at 10% per annum compounded annually. Who pays more interest and by how much?

Medium Open in App Solution Verified by Toppr We have,

Principal value (p) = Rs 12,500

Time (t) = 3years.

Rate of interest (R) = 12% P.a.

now, simple interest S.I. = 100 P×R×t ​ = 100 12500×12×3 ​

=Rs4500 (for fabina)

Again, Given that,

principal value (p)=12,500

Time(t)=3years Rate(R)=10%p.a. now, Amount (A) = P(1+ 100 R ​ ) n =12,500(1+ 100 10 ​ ) 3 =12,500(1+ 10 1 ​ ) 3 =12,500× 10 11 ​ × 10 11 ​ × 10 11 ​ =125× 10 1331 ​

=Amount−principalvalue.

=16,637.50−12,500 =4137.50

Then, Fabina pays more interest

=4,500−4137.50 =362.50Rs. Hence, Interest=Rs362.50

36 4

स्रोत : www.toppr.com

## Fabina borrows ₹ 12,500 at 12 % per annum for 3 years at simple interest and Radha borrows the same amount for the same time period at 10 % per annum, compounded annually. Who pays more interest and by how much?

Fabina borrows ₹ 12,500 at 12 % per annum for 3 years at simple interest and Radha borrows the same amount for the same time period at 10 % per annum, compounded annually. Who pays more interest and by how much? Home

Fabina borrows ₹ 12,500 at 12 % per annum for 3 years at simple interest and Radha borrows the same amount for the same time period at 10 % per annum, compounded annually. Who pays more interest and by how much?

Question

Fabina borrows ₹12,500 at 12% per annum for 3 years at simple interest and Radha borrows the same amount for the same time period at 10% per annum, compounded annually. Who pays more interest and by how much?

A

Fabina pays ₹362.50 more than Radha.

B

Radha pays ₹482.50 more than Fabina.

C

Radha pays ₹362.50 more than Fabina.

D

Fabina pays ₹482.50 more than Radha.

Open in App Solution

The correct option is C

Fabina pays ₹362.50 more than Radha.

Here, Principal (P) = ₹12,500, Time (T) = 3 years, Rate of interest (R) = 12% p.a

We know that S.I. = P R T 100

where, S.I. is the simple interest, P is the principal, R is the rate of interest per annum and T is the time(number of years).

Simple Interest for Fabina =

P × R × T 100 = 12500 × 12 × 3 100 = ₹4500. We know that C.I. = P [ 1 + R 100 ] n

where, C.I. is the compound interest, P is the principal, R is the rate of interest per annum and n is the time(number of years).

Amount(A) paid by Radha at the end of 3 years,

A = 1500 ( 1 + 10 100 ) 3 = 12500 ( 1 + 1 10 ) 3 = 12500 ( 11 10 ) 3 = 12500 × 11 10 × 11 10 × 11 10 = ₹16,637.50 ∴

C.I. for Radha = A - P = ₹16,637.50 - ₹12,500 = ₹4,137.50

Hence, Fabina pays ₹362.50 (= ₹4,500 - ₹4,137.50) more interest than Radha.

Suggest Corrections 35 SIMILAR QUESTIONS

Q.

Question 3

Fabina borrows Rs 12,500 at 12% per annum for 3 years at simple interest and Radha borrows the same amount for the same time period at 10% per annum, compounded annually. Who pays more interest and by how much?

Q. Fabina borrows

R s 12 , 500 at 12 % per annum for 3

years at simple interest and Radhs bororows the same amount for the same time period at

10 %

per annum compounded annually. Who pays more interest and by how much?

Q.

Maria borrowed R s .12500 at 12 % per annum for 3

years at simple interest and Radha borrows the same amount for the same time period at

10 %

per annum compounded annually .Who pays more interest by how much ?

स्रोत : byjus.com

## Fabina borrows ₹ 12,500 at 12% per annum for 3 years at simple interest and Radha borrows the same amount for the same time period at 10% per annum, compounded annually. Who pays more interest?

Fabina borrows ₹ 12,500 at 12% per annum for 3 years at simple interest and Radha borrows the same amount for the same time period at 10% per annum, compounded annually. Who pays more interest and by how much? ## Fabina borrows ₹ 12,500 at 12% per annum for 3 years at simple interest and Radha borrows the same amount for the same time period at 10% per annum, compounded annually. Who pays more interest and by how much?

Solution:

For Simple Interest:

A = (P × R × T)/100 P = ₹ 12,500 T = 3 years

R = 12% simple interest

where , A = Amount, P = Principal, T = Time period in years and R = Rate percent

Thus, Simple Interest paid by Fabina for 3 years at the rate of 12% per annum

S.I. for 3 years = (3 × 12500 × 12)/100

= 3 × 125 × 12 = 4500

For Compound Interest:

A = P[1 + (r/100)]n P = ₹ 12,500 n = 3 years

R = 10% compounded annually

Thus, Amount paid by Radha for 3 years at the rate of 10% p.a. compounded annually

A = P[1 + (r/100)]n

A = 12500[1 + (10/100)]3

A = 12500(11/10)3

A = 12500 × (11/10) × (11/10) × (11/10)

A = 12500 × (1331/1000)

A = 12500 × 1.331 A = 16637.50

Compound Interest = A - P

= 16637.50 - 12500 = 4137.50

Since 4500 > 4137.50, Fabina paid more interest than Radha.

Additional Interest paid by Fabina = 4500 – 4137.50 = ₹ 362.50

☛ Check: NCERT Solutions for Class 8 Maths Chapter 8Video Solution:

## Fabina borrows ₹ 12,500 at 12% per annum for 3 years at simple interest and Radha borrows the same amount for the same time period at 10% per annum, compounded annually. Who pays more interest and by how much?

NCERT Solutions Class 8 Maths Chapter 8 Exercise 8.3 Question 3

Summary:

Fabina borrows ₹ 12,500 at 12% per annum for 3 years at simple interest and Radha borrows the same amount for the same time period at 10% per annum, compounded annually. Fabina pays more interest and by ₹ 362.50.

☛ Related Questions:

Vasudevan invested ₹ 60,000 at an interest rate of 12% per annum compounded half-yearly. What amount would he get (i) after 6 months? (ii) after 1 year?

Arif took a loan of ₹ 80,000 from a bank. If the rate of interest is 10% per annum, find the difference in amounts he would be paying after 1(1/2) years if the interest is (i) Compounded annually (ii) Compounded half-yearly

Maria invested ₹ 8,000 in a business. She would be paid interest at 5% per annum compounded annually. Find: (i) The amount credited against her name at the end of the second year (ii) The interest for the 3rd year.

Find the amount and the compound interest on ₹ 10,000 for 1(1/2) years at 10% per annum, compounded half yearly. Would this interest be more than the interest he would get if it was compounded annually?

स्रोत : www.cuemath.com

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Mohammed 6 day ago

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