Ramesh lends a sum of money in two parts, one at 9% per year and the other at 6% per year simple interest, and earns Rs 510 as interest in one year. Had the two rates been interchanged, he would have earned Rs 540 that year. Find the part (in Rs) lent at 9%.

Question

Accepted Answer

3000. Let the parts be Rs x at 9% and Rs y at 6%. 0.09x + 0.06y = 510 and 0.06x + 0.09y = 540. Adding: 0.15(x + y) = 1050, so x + y = 7000. Subtracting: 0.03(x - y) = -30, so x - y = -1000. Hence x = 3000 and y = 4000. Check: 270 + 240 = 510 and 180 + 360 = 540. 7000 is the whole sum lent; 1000 is only the difference between the two parts; 4000 is the part lent at 6%, the swapped unknown.

Ramesh lends a sum of money in two parts, one at 9% per year and the other at 6% per year simple interest, and earns Rs 510 as interest in one year. Had the two rates been interchanged, he would have earned Rs 540 that year. Find the part (in Rs) lent at 9%.

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