Between Shivani and Parinita, a money was distributed in the ratio of

1.	Between Shivani and Parinita, a money was distributed in the ratio of 5 : 7. If Parinita gives Rs. 5 to Shivani, the ratio will change to 3 : 4. What is the amount divided?1. Rs. 3962. Rs. 4083. Rs. 4204. Rs. 432
Answer» Correct Answer - Option 3 : Rs. 420 Given: Money was distributed in the ratio of 5 : 7. New ratio = 3 ∶ 4 Concept used: Using linear equation. Calculation: The money distributed between Shivani and Parinita be 5x and 7x. Parinita gives Rs. 5 to Shivani , Parinita's money = 7x – 5. Shivani's money = 5x + 5. According to question, (5x + 5)/(7x – 5) = 3/4 ⇒ 4(5x + 5) = 3(7x – 5) ⇒ 20x + 20 = 21x – 15 ⇒ 20 + 15 = 21x – 20x ⇒ x = 35 Total amount = 5x + 7x = 12x = 12 × 35 = 420 ∴ The amount divided is Rs.420.

Between Shivani and Parinita, a money was distributed in the ratio of 5 : 7. If Parinita gives Rs. 5 to Shivani, the ratio will change to 3 : 4. What is the amount divided?1. Rs. 3962. Rs. 4083. Rs. 4204. Rs. 432

Answer» Correct Answer - Option 3 : Rs. 420

Given:

Money was distributed in the ratio of 5 : 7.

New ratio = 3 ∶ 4

Concept used:

Using linear equation.

Calculation:

The money distributed between Shivani and Parinita be 5x and 7x.

Parinita gives Rs. 5 to Shivani ,

Parinita's money = 7x – 5.

Shivani's money = 5x + 5.

According to question,

(5x + 5)/(7x – 5) = 3/4

⇒ 4(5x + 5) = 3(7x – 5)

⇒ 20x + 20 = 21x – 15

⇒ 20 + 15 = 21x – 20x

⇒ x = 35

Total amount = 5x + 7x

= 12x

= 12 × 35

= 420

∴ The amount divided is Rs.420.

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