Let the sum(principal) received by A and B are x and y.

(1+r) = =

Then, =

Hence, the ratio in which the sum is divided =121:100

A) 2648 | B) 2145 |

C) 2587 | D) 2784 |

A) Rs. 5989 | B) Rs. 6540 |

C) Rs. 7844 | D) Rs. 6789 |

Explanation:

Given C.I = 5984, R = 20% , T = 2yrs

$C.I=\mathit{P}\left[\left(\mathbf{1}\mathbf{+}{\left(\frac{\mathbf{20}}{\mathbf{100}}\right)}^{\mathbf{2}}\right)\mathbf{-}\mathbf{1}\right]$

5984 =

=> P = (5995x25)/11

P = Rs. 13625

Now S.I = PTR/100

SI = (13625 x 8 x 6)/100 = Rs. 6540

A) 5% | B) 6% |

C) 4% | D) 3% |

Explanation:

Given compound interest for 3 years = Rs. 1513.2

and simple interest for 5 years = Rs. 2400

Now, we know that C.I = $\left[P{\left(1+\frac{R}{100}\right)}^{n}-1\right]$

=> 1513.2 = $\left[P{\left(1+\frac{R}{100}\right)}^{3}-1\right]$ ...........(A)

And S.I = PTR/100

=> 2400 = P5R/100 ..................(B)

By solving (A) & (B), we get

R = 5%.

A) Rs. 11828.80 | B) Rs. 19828.80 |

C) Rs. 9828.80 | D) Rs. 19328.80 |

Explanation:

Let the sum be Rs. P

P{ ${\left(1+\frac{8}{100}\right)}^{2}$- 1 } = 2828.80

It is in the form of ${\mathit{a}}^{\mathbf{2}}\mathbf{-}{\mathit{b}}^{\mathbf{2}}\mathbf{}\mathbf{=}\mathbf{}\left(\mathbf{a}\mathbf{+}\mathbf{b}\right)\left(\mathbf{a}\mathbf{-}\mathbf{b}\right)$

P(8/100)(2 + 8/100) = 2828.80

P = 2828.80 / (0.08)(2.08)

= 1360/0.08 = 17000

Principal + Interest = Rs. 19828.80

A) Rs. 1911 | B) Rs. 1909 |

C) Rs. 1901 | D) Rs. 1907 |

Explanation:

P = Rs. 15225, n = 9 months = 3 quarters, R = 16% p.a. per quarter.

Amount = $15225x{\left(1+\frac{4}{100}\right)}^{3}$

= (15225 x 26/25 x 26/25 x 26/25) = Rs. 17126.05

=> C.I. = 17126 - 15625 = Rs. 1901.05.

A) 3 years | B) 4 years |

C) 2.5 years | D) 2 years |

Explanation:

$P{\left(1+\frac{20}{100}\right)}^{n}$ > 2P

Now, (6/5 x 6/5 x 6/5 x 6/5) > 2.

So, n = 4 years.

A) Rs. 8840 | B) Rs. 8800 |

C) Rs. 8810 | D) None |

Explanation:

Amount = $8000{\left(1+\frac{5}{100}\right)}^{2}$

= 8000 x 21/20 x 21/20

= Rs. 8820

A) 20% p.a | B) 15% p.a |

C) 18% p.a | D) 24% p.a |

Explanation:

Rs.1440 - 1200 = Rs.240 is the interest on Rs.1200 for one year.

Rate of interest = (100 x 240) / (1200) = 20% p.a