### Discussion :: Simple Interest - Data Sufficiency 2 (Q.No.1)

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

Moncy Kurien said: (Sep 27, 2010) | |

We can find the principal amount by using the options I and II. But how can we find the principal amount using either I and III or II and III? Please explain. |

Abcd said: (Jan 26, 2011) | |

P + P.3.r% = 690---(1) P + P.5.r% = 750---(2) divide eqn 1 by 2 to get r and then p. |

Udit Chauhan said: (Feb 4, 2011) | |

Excellent abcd!! |

Akshaya said: (Feb 11, 2011) | |

Hi Abcd, Using II & III p+((p*5*5)/100)=750 .....(1) Solving (1),we get p=600. Similarly,we can do with I & III |

Pooja said: (Aug 16, 2013) | |

Please explain how p+(p*5*5/100) get? |

Aman said: (Dec 3, 2013) | |

According to third equation rate of interest is 5% so putting that in second equation that is p + p*rate*time/100 = sum. p + p*5*5/100 = 750. |

Chaud said: (Sep 4, 2014) | |

P + P.3.r% = 690---(1). P + P.5.r% = 750---(2). Divide eqn 1 by 2 to get r and then p. Please explain how to divide 1 by 2 to get r and then p? |

Sam said: (Sep 27, 2014) | |

Please explain how to get the answer from using only III? |

Srira said: (Oct 6, 2014) | |

Please explain the formula of this question and give me some easy way. |

Anandhi D said: (Nov 6, 2014) | |

I cannot understand Please explain the formula of this question and give me some easy way. |

Dass said: (Dec 9, 2014) | |

What is the basic formula for the sum? |

9E Tej said: (Jan 10, 2015) | |

Somebody please explain. |

Manju said: (Jun 7, 2015) | |

Help needed in understanding division of equations! |

Ashis said: (Jun 21, 2015) | |

In very simple level I explain to 9 how to get answer using ll & similarly only from (ll) we get P+S.I = 750 & T = 5. And from (lll) we get R = 5. Now P+(P*5*5)\100 = 750. 100P+25P = 750*100. 125P = 75000. P = 600. |

Qwers said: (Aug 1, 2015) | |

There wasn't any information given with r% in the question (statements 1, 2). So I don't think taking are in both the cases is correct. So option D should be correct clarify. |

Ashish said: (Aug 2, 2015) | |

For those who need help regarding how to divide equation I and II (as suggested by abcd). 750 = P+(P*R*5)/100 => 75000 = 100P + 5PR. (i). 690 = P+(P*R*3)/100 => 69000 = 100P + 3PR. (ii). Subtracting (i) & (ii) , we get. R = 3000/P. Now substitute it in any one either (i) or (ii) , we get. P = 600. Thanks. |

Scientist said: (Aug 30, 2015) | |

We can find answer using I and II as follows:. 5PR% = 750 - P. 3PR% = 690 - P --- Dividing them. ---------------. 5 750-P. = 3 690-P. 3450 - 5P = 2250 - 3P. 1200 = 2P. P = 600. Using I and III. I = PNR%. |

Aman Kumar Shaw said: (Mar 8, 2016) | |

How can we get the answer by using I and II. Please tell? |

Aryan said: (Jun 29, 2016) | |

I. Amount after 3 years = 690. II. Amount after 5 years = 750. Difference = SI for 2 years = 60. SI for 1 year = 30, SI for 3 years = 90, SI for 5 years = 150, Thus, Principal = 600. |

Kishor said: (Jul 8, 2016) | |

Please explain that how to get the answer from eq 1 & 2 only. |

Vickma said: (Aug 11, 2016) | |

AMOUNT = S. I + P. 690 - P = 3PR -> (1). 750 - P = 5PR -> (2). Divide Eqn 2 by 1; P = 600. Use P = 600 in section I & III. So, the correct option is 'E'. |

T.Prabhu Pandiyan. said: (Aug 15, 2016) | |

Anyone can please help me to understand the question. |

Girish said: (Aug 26, 2016) | |

690 - P = 3PR. 750 - p = 5PR. Dividing both equations (690 - P)/(750 - P) = 3/5. -> (690 - P)5 = (750 - P)3. By solving; P = 600. |

Shruthi said: (Aug 31, 2017) | |

If it is any two of the 3 then there is a possibility of taking 1 and 2. How can we get p using 1 and 2? |

P V Snehil said: (Sep 11, 2017) | |

We cannot get P using I and II, as we donot know the are when we have only these two statements. Correct answer is D. |

Mansi Arora said: (Dec 31, 2017) | |

Hi @Aryan, We are using here all the three given statements to get the value of P which is not given in the options. |

Effoti said: (Mar 20, 2018) | |

By using I and II; S.I for 2 years = 750-690 = 60 as S.I is divided uniformly for each year, For 1 year = Rs. 30 and For 3 year = 90, Principal = 690-90 = 600. By using II and III As Total Sum = Principal + Interest i.e 750 = P + I (after 5 years) ------> (1) P = I *100 / R * T = I *100 / 5*5 = 4I, Put value of P in eq. 1, 750 = 5I , I = 150 and P = 750 -150 = Rs. 600, Similarly By using I and III. P = I *100 / R*T = I*100/5*3 = 20/3(I), 690 = 20/3(I) + I , By solving this we get I = Rs.90 and P = 690 - 90 = Rs. 600. Hence answer is E Any two of the three. |

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