Question

13. The Simple Interest on Rs.5000 in 4 years @ y% p.a. equals the Simple Interest on Rs.8000 @ 10% p.a. in 2 years. Find the value of y.​

Answer 1

Answer:

valur of y is 8

Step-by-step explanation:

I =PRT/100

I=5000×X×4/100

I=200X

NEXT

I=8000×10×2/100

I=1600

HENCE

1600/200=8

Answer 2

The value of y is 8.

Tips:

If I interest is obtained from an amount P for n years at the simple interest rate r% per year, then we have the relation,

$I=\dfrac{Ptr}{100}$

Step-by-step explanation:

Step 1.

The simple interest on Rs. 5000 in 4 years at y% p.a. is

$I_{1}=\dfrac{5000\times 4\times y}{100}$

$\Rightarrow I_{1}=200y$

Step 2.

The simple interest on Rs. 8000 in 2 years at 10% p.a. is

$I_{2}=\dfrac{8000\times 2\times 10}{100}$

$\Rightarrow I_{2}=1600$

Step 3.

According to the question, $I_{1}=I_{2}$

⇒ 200y = 1600

$\Rightarrow y=\dfrac{1600}{200}$

⇒ y = 8

Thus the value of y is 8.

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