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The difference between simple interest received by Kamal and Vimal on the different sums at 8% rate of interest in 5 years is ₹2168. If the ratio of sum deposited by Kamal and Vimal is 3:4 respectively, then find the sum deposited by Kamal.?
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The difference between simple interest received by Kamal and Vimal on ...
Understanding the Problem
We need to determine the sum deposited by Kamal based on the given conditions about simple interest.
Given Data
- Rate of Interest: 8% per annum
- Time Period: 5 years
- Difference in Simple Interest: ₹2168
- Ratio of Sums: Kamal : Vimal = 3 : 4
Formulate the Simple Interest
The formula for simple interest (SI) is:
SI = (Principal × Rate × Time) / 100
Let the sums deposited by Kamal and Vimal be 3x and 4x respectively.
Calculate Simple Interest for Kamal and Vimal
- Kamal's Simple Interest:
SI_Kamal = (3x × 8 × 5) / 100 = (120x) / 100 = 1.2x
- Vimal's Simple Interest:
SI_Vimal = (4x × 8 × 5) / 100 = (160x) / 100 = 1.6x
Set Up the Equation
The difference in simple interest between Kamal and Vimal is given as ₹2168:
1.6x - 1.2x = 2168
This simplifies to:
0.4x = 2168
Solve for x
To find x, divide both sides by 0.4:
x = 2168 / 0.4 = 5420
Calculate Kamal's Sum
Since Kamal's sum is 3x:
Sum deposited by Kamal = 3 * 5420 = ₹16260
Final Result
Thus, the sum deposited by Kamal is ₹16260.
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The difference between simple interest received by Kamal and Vimal on the different sums at 8% rate of interest in 5 years is ₹2168. If the ratio of sum deposited by Kamal and Vimal is 3:4 respectively, then find the sum deposited by Kamal.?
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The difference between simple interest received by Kamal and Vimal on the different sums at 8% rate of interest in 5 years is ₹2168. If the ratio of sum deposited by Kamal and Vimal is 3:4 respectively, then find the sum deposited by Kamal.? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about The difference between simple interest received by Kamal and Vimal on the different sums at 8% rate of interest in 5 years is ₹2168. If the ratio of sum deposited by Kamal and Vimal is 3:4 respectively, then find the sum deposited by Kamal.? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference between simple interest received by Kamal and Vimal on the different sums at 8% rate of interest in 5 years is ₹2168. If the ratio of sum deposited by Kamal and Vimal is 3:4 respectively, then find the sum deposited by Kamal.?.
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