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Question 1
An amount of Rs. 2143 is split into two parts. The first part is invested @10% for 4 years, and the second @4% for 10 years. What is the ratio of the first part is to the second part if they yield the same amount of simple interest?
1.
$1{1/40}$.
${39/40}$.
$1{1/20}$.
Ans: a
Let the amounts be x and y. We have x × r1 × t1 = y × r2 × t2. We can see that x : y is same as r2t2 : r1t1. The ratio is (4 × 10) : (10 × 4) = 40 : 40, or same as 1. Please note that the answer is independent of the value of the total amount.
Question 2
What is the interest on Rs. 9500 @2% for 73 days starting from Jan 1, 2201?
Question 3
A sum of Rs. 1900 is split into two parts. The first part is invested at 8% p.a. and the second at 6% p.a. What is the amount invested at 8% if the total simple interest at the end of 5 years is Rs. 620?
Rs. 500.
Rs. 600.
Rs. 400.
Rs. 700.
Ans: a
Let the amount x be invested at r1% and remaining (P - x) at r2%, and let the sum of interests be I. Then, I = ${x × r_1 × 5}/100$ + ${(P - x) × r_2 × 5}/100$, which simplifies to 100I = 5 × ($x × (r_1 - r_2) + P × r_2$). Putting r1 = 8, r2 = 6, P = 1900, I = 620, we get x = Rs. 500.
Question 4
The simple interest on a certain principal sum @2% for a period of 4 years is Rs. 360. What is the sum?
Question 5
An amount of Rs. 2143 is split into two parts. The first part is invested @17% for 4 years, and the second @4% for 17 years. What is the ratio of the first part is to the second part if they yield the same amount of simple interest?
1.
$1{1/68}$.
${67/68}$.
$1{1/34}$.
Ans: a
Let the amounts be x and y. We have x × r1 × t1 = y × r2 × t2. We can see that x : y is same as r2t2 : r1t1. The ratio is (4 × 17) : (17 × 4) = 68 : 68, or same as 1. Please note that the answer is independent of the value of the total amount.
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This Blog Post/Article "Simple Interest Quiz Set 003" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2020-02-07. Published on: 2016-05-01