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  1. Kamal took 6800 as a loan which along with interest is to be repaid in two equal
    annual instalments. If the rate of interest is 12
    1
    %, compounded annually, then the
    2
    value of each instalment is
    1. ₹ 8100
    2. ₹ 4150
    3. ₹ 4050
    4. ₹ 4000
Correct Option: C

Let the annual instalment be y
Using the given formula ,

A = P1 +
R
T
T

y = P11 +
25
200

⇒ y = P1 ×
9
8

⇒  P1 =
8
y
9

Similarly,P2 =
64
y
81

P1 + P2 = 6800
⇒ 
8
y +
64
y = 6800
981

⇒ 
72y + 64y
= 6800
81

⇒ 
136y
= 6800
81

⇒ y =
6800 × 81
= ₹ 4050
136

We can find required answer with the help of given formula :
Here, P = ₹ 6800, R =
25
% , n = 2
2

Each instalment =
P
100
+
100
2
100 + r100 + r

Each instalment =
6800
100
+
100
2
100 + (25/2)100 + (25/2)

Each instalment =
6800
200
+
200
2
225225

Each instalment =
6800
200
1 +
200
225225

Each instalment =
6800 × 225 × 225
= ₹ 4050
200 × 425



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