In a game, each participant got points that are 2% of the total number

1.	In a game, each participant got points that are 2% of the total number of participants and each organizer got points that are 72% of the total number of organizers. If the number of points received by the participants is the same as that received by organizers and the number of participants exceeds the number of organizers by 200. Find the total number of points distributed.1. 23042. 24563. 23564. 28565. 2956
Answer» Correct Answer - Option 1 : 2304 Given: Each participant got points that are 2% of total number of participants Each organizer got points that are 72% of the total number of organizers Calculation: Let participants be p Let organizers be o (2% of p) × p = (72% of o) × o ⇒ (p)²/(o)² = 72%/2% ⇒ (p)²/(o)² = 36 ⇒ p/o = 6 ⇒ p = 6 × o We know that ⇒ 6 × o – o = 200 ⇒ o = 40 ⇒ p – o = 200 ⇒ p = 240 Total number of points distributed ⇒ 2(2/100) × 240 × 240 ⇒ 2304 ∴ The total number of points distributed is 2304.

In a game, each participant got points that are 2% of the total number of participants and each organizer got points that are 72% of the total number of organizers. If the number of points received by the participants is the same as that received by organizers and the number of participants exceeds the number of organizers by 200. Find the total number of points distributed.1. 23042. 24563. 23564. 28565. 2956

Answer» Correct Answer - Option 1 : 2304

Given:

Each participant got points that are 2% of total number of participants

Each organizer got points that are 72% of the total number of organizers

Calculation:

Let participants be p

Let organizers be o

(2% of p) × p = (72% of o) × o

⇒ (p)²/(o)² = 72%/2%

⇒ (p)²/(o)² = 36

⇒ p/o = 6

⇒ p = 6 × o

We know that

⇒ 6 × o – o = 200

⇒ o = 40

⇒ p – o = 200

⇒ p = 240

Total number of points distributed

⇒ 2(2/100) × 240 × 240

⇒ 2304

∴ The total number of points distributed is 2304.