Niting borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a.a for the next five years and 13% p.a. for the period beyond eight

Question

Niting borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a.a for the next five years and 13% p.a. for the period beyond eight

Niting borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a.a for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of elven years is 8160 the money borroweed by him(in rupee) was(नितिन ने कुछ धनराशि पहले 3 वर्ष 6 % वार्षिक बियाज दर अगले 5 वर्ष 9 % वार्षिक तथा 8 वर्ष के बाद 13 % वार्षिक बियाज दर उधर ली| यदि 11 वर्ष के अंत में उसी कुल बियाज रु 8160 भुगतान करने होते है तो उधार ली गई राशि (रु में ) बताए|)
A. `12000`
B. `6000`
C. `8000`
D. 10000`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

(c ) Let the money borrowed by Nitin (माना की नितिन के द्वारा लिया गया कर्ज) =P
`(Pxx6xx3)/(100)+(Pxx9xx5)/(100)+(Pxx13xx3)/(100)=8160`
`(18P)/(100)+(45P)/(100)+(39P)/(100)=8160`
`(102)/(100)=8160`
`Rightarrow P=(8160xx100)/(102)=8000`
Alternate(वैकल्पिक विधि)
Note:In such type of questions to save your valuable time follow the given below method(इस प्रकार के प्रशनो बहुमूल्य समय के बचत के लिए आप नीचे दी गयी विधि का प्रयोग कर सकते है )
Let Principal=100
Total interest=`(100xx6xx3)/(100)+(100xx9xx5)/(100)+(100xx13xx3)/(100)`
18=45+39=102units
According to the questions 102units=8160
1 unit=8000
Hence sum=8000
Altenate(वैकल्पिक विधि)
Total rate of interest in 11 years(तक) =`(6xx3)%+(5xx9)%+(3xx13)%`
102%=8160
100% =8000