### Discussion :: True Discount - General Questions (Q.No.10)

Satish said: (Jan 7, 2011) | |

How did you get the 5/2? |

Farhaan said: (Jan 24, 2011) | |

Elaborate explanation (step by step). |

Nikitha said: (Aug 16, 2011) | |

5/2 is equivalent to 2 n 1/2 years. |

Kishan said: (Sep 17, 2011) | |

What equations are apply the above problem to get solution. Please solve my dout. |

Www said: (Sep 30, 2011) | |

GIVEN AMOUNT=2310/- TIME=2 AND 1/2 MEANS 24+6 months=30/12 years=5/2 years R=15% Thus using the formula of P.W P.W=(amount*100)/(100+[R*T]) |

Mozthi said: (Jan 12, 2012) | |

How did you get the 5/2? how it possible to solve the problem. Please clear my dought? |

L.Mayuran said: (Feb 21, 2012) | |

Given amount- 2310/= Present value- 2310/(1.15^2.5) Answer is 1628.79/= |

Hari said: (Jun 9, 2012) | |

How did you solve 1.15^2.5?? |

Rajee said: (Nov 28, 2013) | |

Here, they have given the total amount (i.e. interest+principal) after 2 and 1/2 years = 5/2. Simple interest = (principal*num of years*rate of interest)/100. Total amount = simple interest & principal. 2310 = (pnr/100)+p. 2310 = p[(nr/100)+1]. 231000 = p[((5/2)*15)+100]. (Since,multiply 100 on both sides). Therefore, p = (231000*2)/[(5*15)+200]. Present worth p = 1680 rupees. |

Atik said: (Jan 17, 2015) | |

P.W means? |

Siri said: (Apr 23, 2015) | |

P.W means Present Worth. |

Ch Narasimha Rao said: (Jun 1, 2015) | |

Kindly provide the formula. |

B.Chandrasekar said: (Jul 14, 2015) | |

i = (pnr/100); Total amount = Principle amount+Interest; Total amount = 2310; So, 2310 = ((pnr/100) +p); 2310 = p((nr/100)+1)). = p(((5*15)/(2*100))+1). So, p = (2310*200)/275. p = 1680. |

Suchita said: (Aug 6, 2015) | |

Here amount = 2310. Rate = 15%. Time = 2 years and 6 months == 24+6 = 30 means 30/12 = 5/2. Now by using formula of P.W, P.W. = Amount*100/100+(r*t). = 2310*100/100+(15* 5/2). By taking LCM at denominator, we get. = 2310*100/200+75/2. = 2310*100*2/275. = 1680. |

Shruti said: (Sep 27, 2015) | |

Can't we solve with the formula of compound interest? |

Abhi said: (Oct 30, 2015) | |

Present worth essentially means what? |

Abhi said: (Oct 30, 2015) | |

Present worth essentially means what? |

Ashish said: (Jan 12, 2017) | |

Here present worth is amount. Amount = principal + simple interest Principal = (100 * amount)/(100 + rate of interest * time period). Principal = (100 * 2310)/(100 + 2.5 * 15) = 1680. |

Bharath said: (Jun 12, 2018) | |

Instead of by hearting formulas, we can go through concept and techniques that is the total amount after 2 1/2 years is 2310. so in this amount total worth and interest are there so, total amount = principal amount or present worth + interest. let us assume that present worth is P. 2310= P + ((15/100)*(30/12)*P). P=18480/11, P=1680. |

Prashant said: (Dec 3, 2018) | |

Let P.W=X. Then S.I=2310-X. So S.I formula. (X * 15 * 5)/(2 * 100)=2310-X. We get X=1680. |

Requeal said: (Oct 2, 2020) | |

Simple: They have taken 6 tables: i.e 6*5 - 30. 6*2 - 12. or you can calculate with the original value. i.e 100+15*30รท12 = 137.5. |

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