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16\frac{1}{6}61​​ of a certain sum is lent at 36 percent rate of interest. 15\frac{1}{5}51​​ of the remaining sum is lent at 42 percent rate
Question

16\frac{1}{6}​ of a certain sum is lent at 36 percent rate of interest. 15\frac{1}{5} of the remaining sum is lent at 42 percent rate of interest. The remaining sum is lent at 18 percent rate of interest. If the simple interest received on the total sum for 3 years is ₹1725, then what is the sum?

A.

₹2300

B.

₹2400

C.

₹2100

D.

₹2200

Correct option is A

Given:
1/6 of the sum is lent at 36%

1/5 of the remaining is lent at 42%

The rest is lent at 18%
Time = 3 years
Total Simple Interest = ₹1725
Let the total sum = ₹x

Formula:

SI=P×R×T100SI = \frac{P \times R \times T}{100}

Solution:



​Quick Method (Alternative):

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