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A sum of Rs. 1550 is lent out into two parts, one at 8% and the other at 6%. If the total annual income…

Let \(x\) be lent at 8 percent, so \(1550-x\) is lent at 6 percent. Then \(0.08x+0.06(1550-x)=106\), which gives \(0.02x=13\) and \(x=650\). The amounts are Rs 650 at 8…

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A 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.

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Correct answer A

Let xx be lent at 8 percent, so 1550−x1550-x is lent at 6 percent. Then 0.08x+0.06(1550−x)=1060.08x+0.06(1550-x)=106, which gives 0.02x=130.02x=13 and x=650x=650. The amounts are Rs 650 at 8 percent and Rs 900 at 6 percent.

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