Pratap lent Rs.21600 to be divided between his two sons who aged 9 yea...
x+y = 21600
x/y = 51/57
x = 10200 y = 11400
10200+10200 x 10 x (X-9)/100 = 11400+11400 x 10 x (X-11)/100
X = 18
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Pratap lent Rs.21600 to be divided between his two sons who aged 9 yea...
Given:
- Pratap lent Rs. 21600 to his two sons.
- The sons are aged 9 years and 11 years.
- The lent amount is divided in the ratio of 51:57 between the two sons.
- The rate of interest is 10% per annum.
- We need to find the age at which both sons receive the same amount.
Approach:
1. Let's assume that the amount received by the younger son after 'x' years will be 'A' and the amount received by the elder son after 'x' years will be 'B'.
2. We can write the formula for simple interest as: Simple Interest (SI) = Principal (P) x Rate (R) x Time (T).
3. According to the given information, the principal amount is divided in the ratio of 51:57.
4. So, the principal amount received by the younger son after 'x' years will be (51/108) * 21600 = (17/36) * 21600 = 10200 + 600 = Rs. 10800.
5. Similarly, the principal amount received by the elder son after 'x' years will be (57/108) * 21600 = (19/36) * 21600 = 11400 + 600 = Rs. 12000.
6. We can now set up the equation: A + (A * 10 * x)/100 = B + (B * 10 * x)/100, where A = Rs. 10800 and B = Rs. 12000.
7. Simplifying the equation, we get: 11 * A * x = 10 * B * x.
8. Canceling out 'x' from both sides of the equation, we get: 11A = 10B.
9. Substituting the values of A and B, we get: 11 * 10800 = 10 * 12000.
10. Solving the above equation, we get: 118800 = 120000.
11. As the equation is not true, we can conclude that the sons will not receive the same amount at any age.
Conclusion:
- The correct answer is option 'e' - Cannot be determined.
- According to the given information, the sons will not receive the same amount at any age.
Pratap lent Rs.21600 to be divided between his two sons who aged 9 yea...
Answer –3.18 years Explanation : x+y = 21600 x/y = 51/57 x = 10200 y = 11400 10200+10200*10*(x-9)/100 = 11400+11400*10*(x-11)/100 x = 18