Question 80

A, B and C invested amounts in the ratio 3 : 4 : 5 respectively. If the schemes offered compound interest at the rate of 20% per annum, 15% per annum and 10% per annum respectively, then what will be the ratio of their amounts after 1 year?

Solution

Let amount invested by A, B and C be Rs. 300, 400 and 500 respectively for 1 year.

Amount under compound interest = $$P(1+\frac{R}{100})^T$$

=> Amount A will get = $$300(1+\frac{20}{100})^1$$

= $$300\times\frac{120}{100}=Rs.$$ $$360$$

Similarly, amount B will get = $$4\times115=Rs.$$ $$460$$

and C = $$5\times110=Rs.$$ $$550$$

$$\therefore$$ Ratio of amounts received by A : B : C = 360 : 460 : 550

= 36 : 46 : 55

=> Ans - (C)


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