Question 20

Mr. Seth inherits 2505 gold coins and divides them among his three sons : Brij, Purab and Mohan in a certain ratio. Out of the total coins received by each of them, Brij sells 30 coins, Purab donates his 30 coins and Mohan loses 25 coins. Now, the ratio of gold coins with them is 46 : 41 : 34 respectively. How many coins did Purab receive from his father?

Given the ratio now isΒ 46 : 41 : 34.

Assume the constant of the ratio to be $$x$$

So, now the coins they have are $$46x$$, $$41x$$ and $$34x$$ respectively.

Before selling/donating/losing the number of coins will be $$\left(46x+30\right)$$, $$\left(41x+30\right)$$ and $$\left(34x+25\right)$$ respectively.

We knowΒ $$46x+30+41x+30+34x+25=2505$$

$$121x=2420$$

$$x=20$$

So, the number of coins Purab received will beΒ $$41x+30=41\times20+30=850$$

Hence, the answer is 850

Get AI Help

Video Solution

video

Create a FREE account and get:

  • All Quant Formulas and shortcuts PDF
  • 40+ previous papers with detau solutions PDF
  • Top 500 MBA exam Solved Questions for Free

Join CAT 2026 course by 5-Time CAT 100%iler

Crack CAT 2026 & Other Exams with Cracku!

Ask AI

Ask our AI anything

AI can make mistakes. Please verify important information.