arrow
arrow
arrow
A sum of  Rs. 21,000 is borrowed at a rate of 10% p.a. compound interest compounded yearly. It is returned in two equal annual instalments W
Question

A sum of  Rs. 21,000 is borrowed at a rate of 10% p.a. compound interest compounded yearly. It is returned in two equal annual instalments What is the amount of each installment?

A.

Rs. 12,000

B.

Rs. 12,100

C.

Rs. 12,250

D.

Rs. 12,150

Correct option is B

Given:

Principal (P) = Rs. 21,000

Rate of Interest (R) = 10% per annum

Number of Instalments (n) = 2

Formula Used:

P = x(1+R100)+x(1+R100)2++x(1+R100)n\frac{x}{(1 + \frac{R}{100})} + \frac{x}{(1 + \frac{R}{100})^2} + \dots + \frac{x}{(1 + \frac{R}{100})^n}​​

Solution:

Substituting the values:

21,000=x1.1+x1.2121,000 = \frac{x}{1.1} + \frac{x}{1.21}​​

21,000=x(11.1+11.21)21,000 = x \left( \frac{1}{1.1} + \frac{1}{1.21} \right)​​

21,000=x(1.1+11.21)21,000 = x \left( \frac{1.1 + 1}{1.21} \right)​​

21,000=x(2.11.21)21,000 = x \left( \frac{2.1}{1.21} \right)​​

x=21,000×1.212.1x = 21,000 \times \frac{1.21}{2.1}​​

x=21,000×121210×1x = \frac{21,000 \times 121}{210 \times 1}​​

x=100×121x = 100 \times 121​​

x = Rs. 12,100

Thus, Each instalment is Rs.12,100 

Alternate Solution: 

Rate of interest = 10% = 110\frac{1}{10} 

210 unit  = 21000 

so, 121 unit = 21000210×121=12100\frac{21000}{210} \times 121 = ₹12100​​

Free Tests

Free
Must Attempt

SSC GD Constable Exam Day Based Mock 1

languageIcon English
  • pdpQsnIcon80 Questions
  • pdpsheetsIcon160 Marks
  • timerIcon60 Mins
languageIcon English
Free
Must Attempt

Mathematics Section Test 1

languageIcon English
  • pdpQsnIcon20 Questions
  • pdpsheetsIcon40 Marks
  • timerIcon25 Mins
languageIcon English
Free
Must Attempt

SSC CGL T-I GA Section Test 01

languageIcon English
  • pdpQsnIcon25 Questions
  • pdpsheetsIcon50 Marks
  • timerIcon15 Mins
languageIcon English

Similar Questions

test-prime-package

Access ‘DDA Patwari’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
465k+ students have already unlocked exclusive benefits with Test Prime!

Similar Questions

Our Plans
Monthsup-arrow