# A Certain Sum Amounts to ₹ 1725 at 15% per Annum at Simple Interest :

A certain sum amounts to ₹ 1725 at 15% per annum at simple interest and ₹ 1800 in the same time at 20% per annum at simple interest. Find the sum.

1. ₹ 1700
2. ₹ 1500
3. ₹ 1650
4. ₹ 1200
Anurag Mishra Professor Asked on 7th October 2015 in

Explanation:-
Let the principal be Rs. X

If rate of simple interest per annum = 15%, Amount = Rs. 1725

And rate of simple interest per annum = 20 %, amount = Rs. 1800
Then, 5% of principal = 1800 – 1725 = Rs. 75

Therefore, 100% principal = 75 x 100/5
= 75 x 20
= Rs. 1500

Then, the principal is Rs. 1500.

Hence, the answer is (2) Rs. 1500.

Anurag Mishra Professor Answered on 7th October 2015.
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