out of rupees 75000 to invest for 1 year a man invested Rs 30,000 at 5% per annum and Rs 24000 at 4% per annum. At what percent per annum should he invest the remaining money to get 6% interest on the whole money.
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given ,total money = Rs 75 ,000
simple interest on Rs 30, 000 at 5% per annum
S.I = 30,000 × 5 × 1 / 100
S.I = Rs 1500
simple interest on Rs 24,000 at 4 % per annum
S.I = 24000 × 4 × 1 / 100
S.I = Rs 960
total simple interest
= 1500 + 960 = Rs 2460
total invested money
= 30,000 + 24, 000= 54,000
Remaining money = total money - total invested money
= 75,000 - 54,000 = Rs 21,000
Required interest
= 6% of 75,000 = 6/ 100 × 75,000 = Rs 4,500
remaining interest = 4,500 - 2460
= Rs 2040
S.I = 2040 , P = 21,000, T = 1 yr ,R = ?
S.I = P × R × T / 100
2040 = 21,000 × R × 1 / 100
R = 2040 × 100 / 21,000 = 204 / 21
R = 9. 7 %
therefore, required rate of interest on the remaining money to get 6% on the the whole = 9.7 %
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Your Answer : R = 9.7 %
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simple interest on Rs 30, 000 at 5% per annum
S.I = 30,000 × 5 × 1 / 100
S.I = Rs 1500
simple interest on Rs 24,000 at 4 % per annum
S.I = 24000 × 4 × 1 / 100
S.I = Rs 960
total simple interest
= 1500 + 960 = Rs 2460
total invested money
= 30,000 + 24, 000= 54,000
Remaining money = total money - total invested money
= 75,000 - 54,000 = Rs 21,000
Required interest
= 6% of 75,000 = 6/ 100 × 75,000 = Rs 4,500
remaining interest = 4,500 - 2460
= Rs 2040
S.I = 2040 , P = 21,000, T = 1 yr ,R = ?
S.I = P × R × T / 100
2040 = 21,000 × R × 1 / 100
R = 2040 × 100 / 21,000 = 204 / 21
R = 9. 7 %
therefore, required rate of interest on the remaining money to get 6% on the the whole = 9.7 %
_______________________________
Your Answer : R = 9.7 %
_______________________________
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