Question

a person invested in 2 schemes at 10% per annum and another at 20% per annum. after 3 years, he gained ₹5400 as interest from both the schemes. he invested a total of ₹ 12000. find the share of investment in each scheme.
8000, 4000
6000, 6000
4000, 8000
5000, 7000​

Answer 1

Answer:

Rs. 6000, Rs. 6000

Step-by-step explanation:

Given:

Total investment = Rs. 12000

After 3 years, he gained interest = Rs. 5400

Concept:

In this types of question, firstly we find the interest rate on total money then use mixture and alligation method

Formula:

Simple Interest = (Principal × Rate × time)/100

Calculation:

Simple Interest = (Principal × Rate × time)/100

⇒ 5400 = (12000 × Rate × 3)/100

⇒ Rate = 15%

By the rule of mixture and allegation

Ratio of principal = 1 : 1

Total principal = Rs. 12000

⇒ 2 units = Rs. 12000

⇒ 1 unit = Rs. 6000

∴ Person invested in each scheme = Rs. 6000