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pushpa delhi its too gud

· started a discussion

· 1 Months ago

any other meth (Question: 109942.0 )

ye alligation se kiyu ni ho raha

Question:
A man lent \(\unicode{x20B9} \)2000 partly at 5% and the balance at 4%. If he receives \(\unicode{x20B9} \)92 towards annual interest, find the amount lent at 5%.
Options:
A) \(\unicode{x20B9} \)800
B) \(\unicode{x20B9} \)900
C) \(\unicode{x20B9} \)1000
D) \(\unicode{x20B9} \)1200
Solution:
Ans: (d) Let the whole amount is invested at 4% p.a.

Then, simple interest \(=\cfrac{2000\times4\times1}{100}=\unicode{x20B9}80 \)

This interest is short from actual interest by \(\unicode{x20B9} 92 - \unicode{x20B9} 80 \)= \(\unicode{x20B9} \)12

The difference is because the amount is also invested at 5% p.a.

Difference in two rate of interest = 5% - 4% = 1% p.a.

Here, difference in rate is 1% and difference in interest = \(\unicode{x20B9} \)12

\(\therefore\) Amount invested at 5% 

\(=12\times\cfrac{100}{1}=\unicode{x20B9} 1200 \)

BY ALLEGATION METHOD-

Total profit= (\(\cfrac{92}{2000}\))\(\times\)100 = 4.6%


Therefore; Ratio between Amount invested on 5% and 4% repectively

= 0.6 : 0.4

= 3 : 4

Amount invested on 5%

=\(\cfrac{3}{5}\)\(\times\)2000

=Rs. 1200


Knowledge Expert

· commented

· 1 Months ago

Dear student
We have updated alternative
method(allegation) in the solution.

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