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Rs.800 becomes Rs.956 in 3 years at certain rate of simple interest. If the rate of interest is increased by 3%,What amount will Rs.800 becomes in 3 years?

A1,028

B1,128

C1,228

D1,328

Answer:

A. 1,028

Read Explanation:

Let’s solve it step by step.

Step 1:

Find the original rate of interest Simple Interest (SI) formula:

SI=P×R×T100SI = \frac{P \times R \times T}{100}

Given:

* Principal (P) = 800

* Amount = 956

* Time (T) = 3 years

So, SI=956800=156SI = 956 - 800 = 156

Now, 156=800×R×3100156 = \frac{800 \times R \times 3}{100}

156=24R156 = 24R

R=15624=6.5%R = \frac{156}{24} = 6.5\%

Step 2: Increase rate by 3%

New rate =6.5%+3%=9.5%6.5\% + 3\% = 9.5\%

Step 3:

Find new amount SI=800×9.5×3100=228SI = \frac{800 \times 9.5 \times 3}{100}= 228

New Amount = 800+228=1028800 + 228 = 1028


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