If 20% of (x + y) is equal to 50% of (x – y), what is (x : y)?

Step 1: Start with the given equation: 20% of (x + y) = 50% of (x – y).

Step 2: Convert percentages to fractions: 0.2(x + y) = 0.5(x – y).

Step 3: Multiply both sides by 10 to eliminate decimals: 2(x + y) = 5(x – y).

Step 4: Expand both sides: 2x + 2y = 5x – 5y.

Step 5: Bring like terms together: 2y + 5y = 5x – 2x → 7y = 3x.

Step 6: Rearrange to find the ratio: x/y = 7/3 → x : y = 7 : 3.

हिन्दी उत्तर:

चरण 1: दिया गया समीकरण: (x + y) का 20% = (x – y) का 50%।

चरण 2: प्रतिशतों को भिन्न में बदलें: 0.2(x + y) = 0.5(x – y)।

चरण 3: दोनों तरफ 10 से गुणा करें: 2(x + y) = 5(x – y)।

चरण 4: दोनों तरफ का विस्तार करें: 2x + 2y = 5x – 5y।

चरण 5: समान पदों को एक साथ लाएँ: 2y + 5y = 5x – 2x → 7y = 3x।

चरण 6: अनुपात निकालें: x/y = 7/3 → x : y = 7 : 3।