Question

Rs. 324 is divided into four parts such that if the first is increased by 5 the second part is diminished by 5, the third is multiplied by 5 and the fourth part divided by 5 the result shall be all equal .the third part is ​

Answer 1

Answer:

Let the parts are a, b, c and d.

According to question -

a + 5 = b - 5 = 5c = d/5

Case 1: a + 5 = b - 5 → b = a + 10

Case 2: a + 5 = 5c → ( a + 5 ) / 5 = c

Case 3: a + 5 = d/5 → d = 5( a + 5 )

Total sum = 324

→ a + b + c + d = 324

→ a + ( a + 10 ) + (a+5)/5 + 5(a+5) = 324

→ [ 5a + 5( a + 10 ) + ( a + 5 ) + 25( a + 5 )] = 5 * 324

→ 5a + 5a + 50 + a + 5 + 25a + 125 = 1620

→ 36a + 180 = 1620

→ a = 40

Hence

Third part = { 40 + 5} / 5 = 9