Divide Rs. 2379 into 3 parts so that their amounts after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is?
Choose the correct choice from the following choices:
A) Rs. 759	B) Rs. 792	C) Rs. 818	D) Rs. 828	E) Rs. 838
Let the parts be x, y and [2379 - (x + y)]   x + (x * 2 * 5/100) = y + (y * 3 * 5/100) = z + (z * 4 * 5/100)   11x/10 = 23y/20 = 6z/5 = k   x = 10k/11, y = 20k/23, z = 5k/6   But x + y + z = 2379   10k/11 + 20k/23 + 5k/6 = 2379   k = (2379 * 11 * 23 * 6)/3965 = (3 * 11 * 23 * 6)/5   x = [10/11 * (3 * 11 * 23 * 6)/5= 
<gadget id="calculator">10/11 * (3 * 11 * 23 * 6)/5</gadget>
<output>828</output>
828   Hence, the first part is Rs. 828.   ANSWER:Rs. 828
<result>D</result>
Divide Rs. 2379 into 3 parts so that their amounts after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is?