8th Class Mathematics Comparing Quantities Question Bank Comparing Queantities

  • question_answer Divide Rs. 100000 into two parts so that the S.I on the first part for 6 years at 10% per annum is equal to S.I on the second part for 3 years at 20% per annum.

    A)  Rs. 40000, Rs.60000                 

    B)  Rs. 30000, Rs.70000

    C)  Rs. 60000, Rs.40000                 

    D)  Rs. 50000, Rs.50000

    Correct Answer: D

    Solution :

    (d): Let one part by Rs. x. Then the other part is Rs. (100000 - x). \[{{T}_{1}}=6\]years; \[{{R}_{1}}=10%\] \[=x=\] S.I (on first part) \[\frac{x\times 6\times 10}{100}=Rs.\frac{3x}{5}\] \[{{T}_{2}}=3\]years; \[{{R}_{2}}=20%\] S.I (on second part) \[\frac{\left( 100000-x \right)\times 3\times 20}{100}\] \[\frac{\left( 100000-x \right)\times \frac{3}{5}}{100}\] \[\Rightarrow \frac{3x}{5}=\left( 100000-x \right)\times \frac{3}{5}\Rightarrow x=100000-x\] \[\Rightarrow x=50000\]


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