A sum of Rs. 1550 is lent out into two parts, one at 8 percent and the other at 6 percent. If the total annual income is Rs. 106, then find the money lent out at each rate, that is, at 8 percent and 6 percent respectively.
ARs. 650, Rs. 900 ✓ Correct
BRs. 700, Rs. 850
CRs. 900, Rs. 650
DRs. 800, Rs. 750
Correct answer: (A) Rs. 650, Rs. 900
Explanation
Rs. 650 is lent at 8% and Rs. 900 at 6%.
Let x be lent at 8%; then 0.08x + 0.06(1550 - x) = 106.
0.08x + 93 - 0.06x = 106.
0.02x = 13, so x = 650.
The remainder 1550 - 650 = Rs. 900 is at 6%.
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