1.

If a sum of Rs. 4400 is to be divided among three NGOs in such a way that simple interest for each at 8% per annum after 2, 4 and 6 years respectively remains the same, then find the difference between the share of 1st and 3rd NGO.1. Rs. 16002. Rs. 18003. Rs. 20004. Rs. 2200

Answer» Correct Answer - Option 1 : Rs. 1600

Given:

A sum of Rs. 4400 is to be divided among three NGOs in such a way that simple interest for each at 8% annum after 2 , 4 , 6 years respectively will be same .

Formula used:

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

Calculation:

Let the sum of 1st, 2nd and 3rd NGO be P1 , P2 and P3 respectively.

S.I of 1st NGO = (P1 × 8 × 2)/100

S.I of 2nd NGO = (P2 × 8 × 4)/100

S.I of 3rd NGO = (P3 × 8 × 6)/100

According to the question,

(S.I)1st = (S.I)2nd = (S.I)3rd

⇒ 2P1 = 4P2 = 6P3

⇒ P1 : P2 : P3 = 24 : 12 : 8 = 6 : 3 : 2

Share of 1st NGO = Rs. (4400 × 6/11) = 2400

Share of 3rd NGO = Rs. (4400 × 2/11) = 800

Difference between the share of first and third NGO = Rs. (2400 – 800) = Rs. 1600

∴ Difference between the share of first and third NGO is Rs. 1600


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