Question

The simple interest on certain sum is 5 years at 8℅per annum is 600 rupee less than the simple interest on the same amount for 3 years and 4 months at 18℅ per annum. find out the sum.
Help me with this qs with correct and proper explaination.
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Answer 1

Answer:

1000

Step by Step explanation:

Let P be sum of money invested.

For 5 years at 8 %,

SI1 = P × 5 × 8/100

SI1 = P × 40/100

SI1 = 2P/5

For 3.33 years at 18 %,

SI2 = P × 3.333 × 18/100

SI2 = P × 60/100

SI2 = 3P/5

Given that SI1 is Rs.200 less than SI2.

SI1 - SI2 = 3P/5 - 2P/5

200 = P/5

P = 200 × 5

P = Rs. 1000

Hence, the sum invested is Rs. 1000.