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  1. A man gave 50% of his savings of ₹ 84,100 to his wife and divided the remaining sum among his two sons A and B of 15 and 13 years of age respectively. He divided it in such a way that each of his sons, when they attain the age of 18 years, would receive the same amount at 5% compound interest per annum. The share of B was
    1. ₹ 20,000
    2. ₹ 20,050
    3. ₹ 22,000
    4. ₹ 22,050
Correct Option: A

Amount given to sons = 84100 ×
1
= ₹ 42050
2

Let Amount given to B = ₹ y
∴  Amount given to A = ₹ (42050 – y)
A = P1 +
R
T
100

⇒ (42050 – y )1 +
R
3 = y1 +
R
5
100100

⇒ (42050 – y ) = y 1 +
R
2
100

⇒ (42050 – y ) = y 1 +
5
2
100

⇒ (42050 – y ) = y 1 +
1
2
20

⇒  42050 – y = y
21
2
20

⇒ 42050 – y =
441y
400

⇒ 42050 =
441y
+ y
400

⇒ 42050 =
441y + 400y
400

⇒ 42050 =
841y
400

⇒  841 y = 42050 × 400
⇒  y =
42050 × 400
= ₹ 20,000
841



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