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10th Class Mathematics Related to Competitive Exam Question Bank Commercial Mathematics

  • question_answer
    Rajan invests an amount of Rs. 15860 in the names of his three sons Rohan, Sohan and Mohan in such a way that they get the same amount after 2, 3 and 4 years respectively. If the rate of simple interest is 5%, then the ratio of amounts invested among Rohan, Sohan and Mohan will be

    A)  10 : 15 : 20      

    B)         22 : 23 : 24

    C)  6 : 4 : 3                                  

    D)  2:3:4

    Correct Answer: C

    Solution :

     Let the amounts invested by x, y, z respectively. Then,  \[\frac{x\times 2\times 5}{100}=\frac{y\times 3\times 5}{100}=\frac{z\times 4\times 5}{100}=k\] \[\therefore \] \[x=10k,y=\frac{20}{3}k,\] and \[z=5k\] So           \[x:y:z=10k:\frac{20}{3}k:5k\]                 \[=30:20:15\]                 \[=6:4:3\]


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