Question

A sum of money is divided into two parts in the ratio 3 : 5. If the sum of money is Rs. 504, then the smaller amount is

Answer 1

Answer:

The smaller amount is Rs. 189.

Step-by-step explanation:

We have to divide the money in the ratio 3 : 5. Let, after dividing the money, the first one gets Rs. 3x and another one gets Rs. 5x. ( let, x be some proportionality constant)

Hence, the total amount of money = Rs. (3x+5x) = Rs. 8x

Now the first one will get (3x/8x) = 3/8 portion of the money.

Another one will get (5x/8x) = 5/8 portion of the money.

The sum of money is Rs. 504.

The first one will get, Rs. (504 × 3/8) =Rs. (63×3) = Rs. 189

Another one gets  Rs. (504 × 5/8) =Rs. (63×5) = Rs. 315

Now, Rs. 189 < Rs. 315

The smaller amount is  Rs. 189.