Nishu has six and a half dozen chocolates. She gave 1/6 of these to

1.	Nishu has six and a half dozen chocolates. She gave 1/6 of these to Ravi, 1/13 of these to Rahul and one half of these to her other friends. The number of chocolate left with her is:1. 272. 323. 204. 26
Answer» Correct Answer - Option 3 : 20 Given: Nishu has chocolates = \(6\frac{1}{2}\) dozens Nishu gave chocolates to Ravi = 1/6 of \(6\frac{1}{2}\) dozens Nishu gave chocolates to Rahul = 1/13 of \(6\frac{1}{2}\) dozens Half of the chocolates given to her friends = 1/2 of \(6\frac{1}{2}\) dozens Concept used: One dozen = 12 Calculations: \(6\frac{1}{2}\) dozens = (13/2) × 12 ⇒ 13 × 6 = 78 chocolates The number of chocolates given to Ravi = (1/6) × \(6\frac{1}{2}\) dozens ⇒ 78 × 1/6 = 13 chocolates The number of chocolates given to Rahul= (1/13) × \(6\frac{1}{2}\) dozens ⇒ 78 × 1/13 = 6 chocolates The number of chocolates given to her friends = (1/2) of 78 ⇒ (1/2) × 78 = 39 The number of chocolates given to friends, Ravi and Rahul = 39 + 6 + 13 ⇒ 58 The number of chocolates left with her = Total chocolates - The number of chocolates given to other friends, Ravi and Rahul ⇒ 78 - 58 = 20 ∴ The number of chocolates left with her is 20

Nishu has six and a half dozen chocolates. She gave 1/6 of these to Ravi, 1/13 of these to Rahul and one half of these to her other friends. The number of chocolate left with her is:1. 272. 323. 204. 26

Answer» Correct Answer - Option 3 : 20

Given:

Nishu has chocolates = \(6\frac{1}{2}\) dozens

Nishu gave chocolates to Ravi = 1/6 of \(6\frac{1}{2}\) dozens

Nishu gave chocolates to Rahul = 1/13 of \(6\frac{1}{2}\) dozens

Half of the chocolates given to her friends = 1/2 of \(6\frac{1}{2}\) dozens

Concept used:

One dozen = 12

Calculations:

\(6\frac{1}{2}\) dozens = (13/2) × 12

⇒ 13 × 6 = 78 chocolates

The number of chocolates given to Ravi = (1/6) × \(6\frac{1}{2}\) dozens

⇒ 78 × 1/6 = 13 chocolates

The number of chocolates given to Rahul= (1/13) × \(6\frac{1}{2}\) dozens

⇒ 78 × 1/13 = 6 chocolates

The number of chocolates given to her friends = (1/2) of 78

⇒ (1/2) × 78 = 39

The number of chocolates given to friends, Ravi and Rahul = 39 + 6 + 13

⇒ 58

The number of chocolates left with her = Total chocolates - The number of chocolates given to other friends, Ravi and Rahul