Question
Download Solution PDFA sum of Rs. 1550 is lent out into two parts, one at 8% and the other at 6%. If the total annual income is Rs. 106, then find the money lent out at each rate i.e., 8% and 6%, respectively.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A sum of Rs. 1550 is lent out into two parts, one at 8% and the other at 6%.
The total annual income is Rs. 106
Calculation:
Let's call the amount lent out at 8% as x.
So, the amount lent out at 6% is 1550 - x.
The annual income from the amount lent at 8% is 8/100 × x = 0.08x.
The annual income from the amount lent at 6% is
6/100 × (1550 - x)
⇒ 0.06 * 1550 - 0.06x.
The total annual income is the sum of the two:
0.08x + 0.06 × 1550 - 0.06x = 106
Simplifying the equation, we get:
0.02x = 106 - 0.06 × 1550
0.02x = 106 - 93
0.02x = 13
So, x = 13 / 0.02 = 650.
Therefore, the amount lent out at 8% is 650 and the amount lent out at 6% is 1550 - 650 = 900.
Last updated on Jun 6, 2025
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