A person has Rs. 30000 and he invested in four schemes. In 1st scheme he invested 10% of the sum at the rate of 20% per annum, while in 2nd scheme he invested 12% of the amount at the rate of 10% per annum, while in 3rd scheme he invested 25% at the rate of 20% per annum, while in 4th scheme he invested remaining amount at the rate of 25% per annum. After 2 years what is the total amount received by the person.
A person has Rs. 30000 and he invested in four schemes. In 1st scheme he invested 10% of the sum at the rate of 20% per annum, while in 2nd scheme he invested 12% of the amount at the rate of 10% per annum, while in 3rd scheme he invested 25% at the rate of 20% per annum, while in 4th scheme he invested remaining amount at the rate of 25% per annum. After 2 years what is the total amount received by the person. Correct Answer Rs. 42870
Given:
Sum invested in 1st scheme = (10/100) × 30000 = Rs. 3000
Sum invested in 2nd scheme = (12/100) × 30000 = Rs. 3600
Sum invested in 3rd scheme = (25/100) × 30000 = Rs. 7500
Sum invested in 4th scheme = 30000 - (3000 + 3600 + 7500) = Rs. 15900
Formula:
Simple Interest = (Principal × Time × Rate of interest)/100
Amount = Principal + Simple Interest
Calculation:
Interest earned from 1st scheme = (3000 × 20 × 2)/100 = Rs. 1200
Amount received = 3000 + 1200 = Rs. 4200
Interest earned from 2nd scheme = (3600 × 10 × 2)/100 = Rs. 720
Amount received = 3600 + 720 = Rs. 4320
Interest earned from 3rd scheme = (7500 × 20 × 2)/100 = Rs. 3000
Amount received = 7500 + 3000 = Rs. 10500
Interest earned from 4th scheme = (15900 × 25 × 2)/100 = Rs. 7950
Amount received = 15900 + 7950 = Rs. 23850
Total amount received after 2 years from all the schemes
⇒ Rs. 4200 + Rs. 4320 + Rs. 10500 + Rs, 23850 = Rs. 42870