Kashish invested a total amount of Rs. 20,000 which is divided into two different schemes 1 & 2 at the simple interest rate of 9% pa and 13% pa respectively. If the total amount of simple interest earned in two years would be Rs. 4400, calculate the principle that is invested initially by her in scheme 2?

Rs. 18000
Rs. 17000
Rs. 15000
Rs. 10000

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 4 : Rs. 10000

Given:

Total principal = Rs. 20,000

Simple interest = 9% and 13%

Time = 2 yeras

Total interest = Rs. 4400

Formula Used:

S.I = Principal × rate × time/100

Calculation:

Let the principle invested in scheme 1 be Rs. X and that in scheme 2 would be Rs. (20,000 – X)

According to the condition given in the problem,

(x × 9 × 2)/100 + ((20000 – x) × 13 × 2)/100 = 4400

⇒ 18x + 520000 – 26x = 440000

⇒ –8x = –80000

⇒ x = 10000

Kashish invested in scheme 2 = Rs. (20000 – 10000) = Rs. 10000

∴ Kashish invested in scheme 2 is Rs. 10000.

5 views Answered 2022-09-04 04:29

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