Kamal took Rs. 6800 as a loan which along with interest is to be repaid in two equal annual installment. If the rate of interest is 12 ¹/₂% compounded annually, then the value of each installment is = ?

1Rs. 8100
2Rs. 4150
3Rs. 4050
4Rs. 4000

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Rate of interest \\ r = 12 \frac{1}{2} % = \frac{1}{8} \end{aligned}

$\eqalign{ & {\text{Rate of interest}} \cr & {\text{r}} = {\text{12}}\frac{1}{2}\% = \frac{1}{8} \cr}$

Year	Principal	Installment
⇒ I	8_×9 →	9_×9	......(i)
⇒ II	64 →	81	......(ii)

Since, installment is equal hence multiply equation (i) by 9
⇒ Total principal = 72+64 = 136 units
136 units → 6800
1 units → 50
81 units → 4050
⇒ Each installment = Rs. 4050

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Year	Principal	Installment
⇒ I	8_×9 →	9_×9	......(i)
⇒ II	64 →	81	......(ii)

Since, installment is equal hence multiply equation (i) by 9
⇒ Total principal = 72+64 = 136 units
136 units → 6800
1 units → 50
81 units → 4050
⇒ Each installment = Rs. 4050 ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution: