41.
Divide Rs. 3903 between A and B, so that A's Share at the end of 7 years may equal to B's share at the end of 9 years, compound interest being at 4 percent.
• A.
Rs. 2028, Rs. 1875
• C.
Rs. 2008, Rs. 1895
• B.
Rs. 2018, Rs. 1885
• D.
Rs. 2038, Rs. 1865
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Explanation :

 We have (A's present share) 1 + 4 7 = (B's present share) 1 + 4 9 100 100

A's present share = 1 + 4 2
B's present share 100

 = 26 2 = 676 25 625

 Dividing Rs. 3903 in the ratio of 676:625

A's present share = 676  of Rs. 3903
(676+625)

 = Rs. 2028

 B's present share  = Rs. 3903 - Rs. 2028

 = Rs. 1875

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42.
A sum is invested for 3 years compounded at 5%, 10% and 20 % respectively. In three years, if the sum amounts to Rs. 16,632, then find the sum.
• A.
Rs. 11000
• C.
Rs. 13000
• B.
Rs. 12000
• D.
Rs. 14000
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Explanation :

 Let P be the sum.

Amount after one year = P + 5% of P = 21P
20

 Amount after two years = 21P + 10% of 21P 20 20

 = 21P + 21P = 231P 20 20 200

 Amount after threee years

 = 231P + 20% of 231P 200 200

 = 231P + 231P = 1386P 200 200 1000

1386P  = 16632  P = 12000.
200

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43.
The difference in compound interest and simple interest, on a certain amount at 10% per annum at the end of third year is Rs. 620. What is the principal amount?
• A.
Rs. 40,000
• C.
Rs. 10,000
• B.
Rs. 1,20,000
• D.
Rs. 20,000
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Explanation :

 For three years

 Sum = x x (100)3 r2(300 + r)

 = 620 x (100)3 102 (300 + 10)

 = Rs. 20,000

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44.
Some money was lent on 4% C.I. If the difference in interest of second and the first year is Rs. 88, find out the sum.
• A.
Rs. 50,000
• C.
Rs. 65,000
• E.
None of these
• B.
Rs. 60,000
• D.
Rs. 55,000
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Explanation :

Interest on Rs. 100 for the year = Rs. 4

Interest on Rs. 100 for the second year

= 100
 1 + 4 2 - 1 100
- 4

 = Rs. 4.16

Now if Rs. 4.16 - Rs. 4 = Rs. 0.16 is the difference then principal = Rs. 100

 Now if Rs. 88 is the difference then principal = 100 x 88 = Rs. 55,000 16

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45.
Akash borrows Rs 65,000 at 10% per annum simple interest for 3 years and lends it at 10% per annum compound interest for 3 years. Find his gain after three year.
• A.
Rs. 2015
• C.
Rs. 1300
• B.
Rs. 1330
• D.
None of these
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Explanation :

 S.I. on Rs 65000 @ 10% for years

 = 65000 x 10 x 3 = Rs 19500 100

 C.I. on Rs 65000 @ 10% for 3 years

= 65000
 1 + 10 100
3 - 65000

= 65000
 11 x 11 x 11 -10 x 10 x 10 1000

 = Rs. 21515

 Required gain = 21515 � 19500 = Rs. 2015.

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