Question

A sum of Rs. 210 was taken as a loan. This is to be paid back in two equal installments. If the rate of the interest be 10% compounded annually, then the value of each installment is:
A.Rs. 121
B.Rs. 127
C.Rs. 210
D.Rs. 225

Answer 1

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SOLUTION :-
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Let X = equal installment at the end of one year( rate% annually) . 
Now 1st year, 
P =210, 
Interest = PTR/100 = 210 *0.1 = 21. 
Let X is to be paid as an equal installment. 
Now, at the beginning of 2nd year, 
P =210+21- X, 
Interest at the end of 2nd year,
= (231-X)*0.1 = 23.1-0.1X. 
Hence,total installment,
2X = 210+21+23.1- 0.1X, 
X = 254.1/2.1 = 121.

So , Option (A) is the right answer ✔️

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Answer 2

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▬▬▬▬▬▬▬▬▬▬▬▬☟

➧ Let x,


➧ Now, 1st year, 
➧ P =210, 
➧ Interest = PTR / 100
➾ 210 × 0.1
➾ 21

➧ Let X is to be paid as an equal installment. 

➧ Now, at the beginning of 2nd year
➾ P =210 + 21 - x

➧ Interest at the end of 2nd year,
➾ (231 - x) × 0.1
➾ 23.1-0.1x

➧ Hence,total installment is,
➾ 2X = 210 + 21 + 23.1 - 0.1x
➾ X = 254.1 / 2.1
➾ 121 ...✔

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