1.

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 activity.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 ..... = 7 .....∴ 12x -400 = 7x + 2100∴ 12x - 7x = .....∴ 5x = .....∴ x = .....∴ Rafik initially has ₹ ..... with him.

Answer»

\mathit{\underline{<klux>200</klux> + <klux>3X</klux>}}\mathit{\underline{ - 300 + 200 + 3x}}\mathit{\underline{\frac{7/4*(x + 300)}{x + 3}}}\mathit{\underline{7/4}}
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.


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