Question

(A) A sum of Rs. 980 is divided to give 7 cash prizes to students of a school for their
performances in different games. If each prize is Rs. 30 less than its preceding
prize, find value of each of the prizes.​

Answer 1

Step-by-step explanation:

Given:

• Total sum of money is Rs 980
• It has to be distributed in 7 cash prizes to students
• Each prize for the student is 30 less than , it's preceding prize

To Find:

• What is the value of each prize

Solution: Let the first prize be Rs x .

∴ Second prize will be: (x – 30) and so on......

∴ Last prize will be ( x – 30 x 6 )

• Total amount is Rs 980

A/q

$\small\implies{\sf }$ x + ( x – 30) + ( x – 60 ) + ( x – 90 ) + ( x – 120 ) + ( x – 150 ) + ( x – 180 ) = Rs 980

$\small\implies{\sf }$ 7x – 180 – 450 = Rs 980

$\small\implies{\sf }$ 7x – 630 = Rs 980

$\small\implies{\sf }$ 7x = 980 + 630

$\small\implies{\sf }$ 7x = 1610

$\small\implies{\sf }$ x = 1610/7

$\small\implies{\sf }$x = 230

Therefore, Prizes will be

• x = 230

• x – 30 = 230 – 30 = 200

• x – 60 = 230 – 60 = 170

• x – 90 = 230 – 90 = 140

• x – 120 = 230 – 120 = 110

• x – 150 = 230 – 150 = 80

• x – 180 = 230 – 180 = 50