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bikash

· started a discussion

· 1 Months ago

method suggested in tis video will tk 60min to solve...aren't there any other method?

Question:
A sum of money at compound interest amounts in two years to Rs. 52920, and in three years to Rs. 55566. Find the original sum.
Options:
A) Rs. 48000
B) Rs. 42000
C) Rs. 40000
D) Rs. 45000
Solution:

Ans: (a) Difference in amounts = 55566-52920= \(\unicode{x20B9} \)2646

Now, we see that \(\unicode{x20B9} \)2646 is the interest on Rs 52920 in one year (it is either simple or compound interest because both are the same for a year)

Hence, rate of interest = \(\cfrac{2646×100}{52920}= 5\%\)

Now, for the original sum,

52920 = x \(\left ( 1+\cfrac{5}{100} \right )^2\)  

Or 52920 = x \(\left ( \cfrac{21}{20} \right )^2\)

\(∴ x = \cfrac{52920×20×20}{21×21}= \unicode{x20B9} 48000\)

For Video Solution Click on the link given below:

Knowledge Expert

· commented

· 1 Months ago

Dear Student,
See the explanation given, its so simple.
Keep Learning with Us
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