Question

3) The S.I. on a certain sum of money for 4 years at 15 % per annum is Rs. 180 more than S.I. on same sum for 5 years at 10 % per annum. Find the sum.

Answer 1

Answer:

ANSWER IS SI = 660

Step-by-step explanation:

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Answer 2

given two S.I one Rs.180 more and find the original sum.

Explanation:

1. given a sum amount P, having rate of interest R and no. of years T the simple interest S.I is      $S.I=\frac{PxRxT}{100}$      
2. let the first Simple interest be S.I1 , years be T1 and Rate of interest be R1 and let the second simple interest be S.I2, years be T2 and Rate of interest be R2 we have,                                                                                         $S.I_1-S.I_2=180$           $T_1=4yrs\ and\ T_2=5yrs$      $R_1=15\ and\ R_2=10$
3. equating these values in formula from point 1. we get                                             $\frac{P(15)(4)}{100} - \frac{P(10)(5)}{100}=180\\6P-5P=1800$
4. the original sum is $Rs.1800$