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A man invested 6000 in bank at simple interest rate of 10% per annum and another at 20% per annum total interest for whole sum after 4 years is at simple interest rate of 14% per annum find total amount?

A4000

B11000

C10000

D8000

Answer:

C. 10000

Read Explanation:

6000 is invested for 4 years at 10% per annum and Rs X is invested for 4 years at 20% per annum And total interest for whole sum after 4 years is at simple interest rate of 14% per annum ⇒ 6000 × 4 ×10/100 + X × 4 × 20/100 = (6000 + X) × 4 × 14/100 2400 + 80X/100 = 3360 + 56X/100 2400 + 4X/5 = 3360 + 14X/25 4X/5 - 14X/25 = 3360 - 2400 {20X - 14X}/25 = 960 6X/25 = 960 X = 960 × 25/6 = 4000 Total amount = 6000 + 4000 = 10000


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