Question

Three prizes are to be distributed in a quiz . The value of second prize is 5/6 of the value of first prize and the value of third prize is 4/5 of second prize. If total value of three prizes is rupees 1500, find the value of each prize.​

Answer 1

Answer:

GIVEN :

• Total value of the three prizes = ₹ 1500

Let the value of the 1st prize = x

2nd prize = $\frac{5x}{6}$

3rd prize = × ( $\frac{5x}{6}$) = $\frac{2x}{3}$ x + 5x/6 + 2x/3 = 1500

[6x + 5x + 4x]/6 = 1500 [LCM = 6]

→15x/6 = 1500

→15 x = 1500 × 6

→15x = 9000

→x =9000/15

→x = 600

Value of 1st prize = x = ₹ 600

Value of 2nd prize = 5x/6 = (5 x 600)/6 = 5× 100= ₹ 500

3rd prize = 2x/3 =( 2 × 600)/3 =  2 × 200 = 400

Hence , the value of 1st prize, 2nd prize  & 3rd prize is ₹ 600, ₹ 500 & ₹ 400

Step-by-step explanation:

Hope it helps!