1.

Two friends Amit and Rahul invested an equal sum of Rs. P in a scheme. If simple interest of 9% and 6% respectively was offered to them at the end of 2 years the difference between the total amount received by Amit and Rahul was Rs. 2166, then find out the value of P.1. 366002. 361003. 240004. 540005. 18500

Answer» Correct Answer - Option 2 : 36100

Given:

Two friends Amit and Rahul invested an equal amount of sum Rs. P in two different schemes.

Simple interest offered by the two schemes were at the rate 9% and 6% respectively and at the end of 2 years

Difference between the total amount received by Amit and Rahul was Rs. 2166.

Formula used:

Simple Interest = {Sum (P) × rate of interest (r) × time (t)}/100

Amount (A) = Principal (P) + Simple interest (S.I)

Calculation:

After 2 years, Rahul’s amount from first scheme

⇒ P + (P × 9 × 2)/100 = 118P/100

Rahul’s amount from second scheme

⇒ P + (P × 6 × 2)/100 = 112P/100

Difference between the amounts received by Rahul from both schemes

118P/100 – 112P/100 = 2166

⇒ 6P = 2166 × 100

⇒ P = 36100

∴ The value of P is Rs. 36100



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