Question 45

A took two loans altogether for Rs. 1200 from B an C. B claimed 14% simple interest per annum, while C claimed 15% per annum. The total interest paid by A in one year was Rs. 172.Then, A borrowed

Solution

let money borrowed from B = x

money borrowed from C = 1200 - x

B claimed 14% simple interest in 1 year SI = $$ \frac{x \times 14 \times 1}{100} $$

C claimed 15% simple interest in 1 year SI = $$ \frac{(1200 - x) \times 15}{100} $$

total interest = $$ \frac{x \times 14}{100} + \frac{(1200 - x)15}{100} = 172 $$

$$ \frac{14x + 15 \times 1200 - 15x}{100} = 172 $$

18000 - x = 17200

x = 800

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