Divide Rs 6800 into two parts so that S.I. on the first part for 313 years at 6% may be equal to the interest on the second part for 312 years at 4% percent per annumOptionsRs 2600, Rs 4200Rs 2500, Rs 4300Rs 2700, Rs 4100Rs 2800, Rs
Question
Divide Rs 6800 into two parts so that S.I. on the first part for 313 years at 6% may be equal to the interest on the second part for 312 years at 4% percent per annumOptionsRs 2600, Rs 4200Rs 2500, Rs 4300Rs 2700, Rs 4100Rs 2800, Rs
Solution
Let's denote the two parts as X and Y. We know that X + Y = 6800 (since the total amount is Rs 6800).
The problem states that the simple interest (SI) on the first part (X) for 3 1/3 years at 6% per annum is equal to the SI on the second part (Y) for 3 1/2 years at 4% per annum.
We can write this as:
(6/100) * X * (10/3) = (4/100) * Y * (7/2)
Solving this equation for X gives us:
X = (4/6) * (7/10) * (3/2) * Y
Substituting this into the first equation gives us:
(4/6) * (7/10) * (3/2) * Y + Y = 6800
Solving this equation for Y gives us:
Y = Rs 4200
Substituting Y = 4200 into the first equation gives us:
X + 4200 = 6800
Solving this equation for X gives us:
X = Rs 2600
So, the two parts are Rs 2600 and Rs 4200.
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