Important for :

1

C

Interest earned by the man on 2nd year= 4500 × | [ | { | 1 + | ( | 30 | ) | } |
^{2} |
– 1 | ] | – | ( | 4500 × 30 × 1 | ) |

100 | 100 |

= 4500 × | ( | 69 | ) | – 1350 = 3105 – 1350 = Rs. 1755 |

100 |

Interest earned by the man on 3rd year

= 4500 × | [ | { | 1 + | ( | 30 | ) | } |
^{3} |
– 1 | ] | – 4500 × | [ | { | 1 + | ( | 30 | ) | } |
^{2} |
– 1 | ] |

100 | 100 |

= 4500 × | ( | 1197 | ) | – 4500 × | 69 | = 5386.5 – 3105 = Rs.2281.5 |

1000 | 100 |

Therefore, required difference = 2281.5 – 1755 = Rs. 526.5

Hence, option C is correct.

2

B

The first Rs. 20000 would become 20000(1.1)^{6} after 6 years, the second will become 20000(1.1)^{5}.the third will become 20000 (1.1)^{4}, the fourth will become 20000 (1.1)^{3} , the fifth will become 20000(1.1)^{2} and the sixth will become 20000 (1.1).

Total amount = 20000 [(1.1) + (1.1)= (20000) (1.1) [ 1 + (1.1) + (1.1)

= 22000 |
(1.1)^{6} – 1 |
= 22000 (7.72) = Rs. 169840 |

1.1 – 1 |

Hence, option B is correct.

3

B

Rate = 16 | 2 | % = | 1 |

3 | 6 |

P × R × T | = Rs. 3000 |

100 |

P = Rs. 18000

Let us suppose Principal = 36

Interest for 1

Interest for 2

Interest for 73 days = | 7 × 73 | = 1.4 |

365 |

Total interest = 6 + 1.4 = 7.4

36 corresponds to 18000

1 will correspond to 500

7.4 will correspond to 500 × 7.4 = Rs. 3700

So, the Compound Interest for 1 year 73 days is Rs. 3700 and the Sum lent to the farmer is Rs. 18000.

Hence, option B is correct.

4

B

Capital of Shyam = Rs. 80,000Rate of Interest = 10%

Time for which he deposited in bank = 2 years

Amount = 80000 | ( | 1 + | 10 | ) |
^{2} |

100 |

Amount = | 80000 × 121 | = Rs. 96800 |

100 |

Investment of Shyam in business = Rs. 96800

Investment of Ram in business = Rs. 60000

Ratio of their profits = | 96800 × 6 |

60000 × 12 |

Ratio = 968 : 1200 = 121 : 150

Hence, option B is correct.

5

A

Money took = Rs 216000Amount after first year

= 216000 × | ( | 1 + | 16.67 | ) | = 216000 × | 7 | = 252000 |

100 | 6 |

Amount paid after first year = 84000, amount remaining = 252000 – 84000 = 168000

Amount to be paid after second year

= | 7 | × 168000 = 196000 |

6 |

Amount paid after second year = 58000, amount remaining = 196000 – 58000 = 138000

Amount to paid after third year

= | 7 | × 138000 = Rs 161000 |

6 |

Hence, option A is correct.

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