A sum of Rs. 16800 is divided into two parts. One part is lent at simple interest of 6 percent per annum and the other at 8 percent per annum. After 2 years the total sum received is Rs. 19000. Find the sums lent at 6 percent and 8 percent respectively.
A12200, 4600 ✓ Correct
B11000, 5800
C12000, 4800
D4800, 12000
Correct answer: (A) 12200, 4600
Explanation
The parts are Rs. 12200 at 6% and Rs. 4600 at 8%.
Total interest = 19000 - 16800 = 2200.
Let x at 6%: 0.12x + 0.16(16800 - x) = 2200.
2688 - 0.04x = 2200, so 0.04x = 488.
x = 12200, other part = 4600.
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