Question

the sum of money is divided among p, q, r in the ratio of 2:3:5. if amount of p and r together is ₹400 more than that of q. what is r amount​

Answer 1

Answer :

›»› The amount of r is ₹500.

Given :

• The sum of money is divided among p, q, r in the ratio of 2:3:5. if amount of p and r together is ₹400 more than that of q.

To Find :

• The amount of r = ?

Solution :

Let us assume that, the ratio of 2:4:5 is 2x, 3x, and 5x respectively.

As it is given that, the amount of p and r together is ₹400 more than that of q. So,

→ 2x + 5x = 3x + 400.

According to the given question,

→ 2x + 5x = 3x + 400

→ 7x = 3x 400

→ 7x - 3x = 400

→ 4x = 400

→ x = 400/4

→ x = 100.

Therefore,

The amount of r will be,

• 5x = 5 * 100 = ₹500.

Hence, the amount of 5 is ₹500.

Answer 2

Answer:

$\huge \bf \: given$

the sum of money is divided among p, q, r in the ratio of 2:3:5. if amount of p and r together is ₹400 more than that of q. what is r amount

$\huge \bf \: to \: find$

Amount of r

$\huge \bf \: required \: answer$

Let us assume that

p = 2x

q = 3x

r = 5x

As we know that sum of rupees of p and r = ₹400

$2x + 5x = 3x + 400$

$\sf \: 7x = 3x + 400$

$\sf \: 7x - 3x = 400$

$\sf4x = 400$

$\sf \: x = \frac{400}{4}$

$\sf \: x = 100$

Amount of r = 5 × 100 = ₹500