Question

Ratna has `200 more than three times the amount Rafik has. If ` 300 from the
amount with Ratna are given to Rafik, amount with Ratna will be 7
4 times the
amount with Rafik. Find the initial amount with Rafik.
To find the initial amount, complete the following acitivity.
Solution: The amount with Ratna is ` 200 more than three times the amount with
Rafik.
Let the initial amount with Rafik be ` x \ Ratna has `
\ ` 300 from Ratna are given to Rafik.
\ Remaining amount with Ratna is .
\ Now Rafik has `( x + 300)
Now the amount with Ratna is 7
4 times the amount with Rafik
\
Amount with Ratna
Amount with Rafik =
\
3 100
300
x
x


=
\ 4 = 7
\ 12x -400 = 7x + 2100
\ 12x - 7x =
\ 5x =
\ x =
\ Rafik initially has ` with him.

Answer 1

Solution: The amount with Ratna is ₹ 200 more than three times the amount with Rafik. Let the initial amount with Rafik be ₹ x. ​ ∴ Ratna has ₹ ∴ ₹ 300 from Ratna are given to Rafik. ∴ Remaining amount with Ratna is ₹ ∴ Now Rafik has ₹ ( x + 300) Now the amount with Ratna is 7/4 times the amount with Rafik ∴ Amount with Ratna / Amount with Rafik = ∴ (3x - 100) / (x + 300) = ∴ 4 (3x - 100) = 7 (x + 300) ∴ 12x - 400 = 7x + 2100 ∴ 12x - 7x = 2100 + 400 ∴ 5x = 2500 ∴ x = 2500/5 = 500 ∴ Rafik initially has ₹ 500 with him.