Question

a man borrowed some money from a private organisation at 5% simple interest per annum he landed 50% of this money to another person at 10% compound interest per annum and thereby made a profit of Rupees 3205 in 4 years find the borrowed money​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Let the money borrowed at 5% per annum at simple interest = Rs 10000

Interest on Rs 10000/ @5% per annum for 4 years = ( 100 × 5 × 4)/100 = Rs 2000

Amount the person would be required to return to the lender = Principal + interest = Rs 100 + Rs 20 = Rs 12000.

He lends the borrowed money @ 10% per annum at compound interest Compounded annually. The amount A he would get after 4 years would be:

A =10000 × [ 1 + (10/100)]⁴ = 10000 × [ 110/100]⁴ = 10000 × [ 11/10]⁴ = (10000 × 11× 11 × 11 × 11)/ (10 × 10 × 10 × 10) = 11 × 11 × 11 × 11 = Rs 14, 641

Profit made by the person = Rs 14, 641 - Rs 2641

In case profit made is Rs 2641 then money borrowed = Rs 10,000

If profit made is Rs 26, 410 then money borrowed = (26,410/2641) × 10, 000 = Rs 1,00,000.