Question

Study the table below and answer the question that follows :

$\begin{array}{ccccc}\text{Beverages}& \text{\% of vitamin}& \text{\% of minerals}& \text{\% of micronutrients}& \text{Cost/250gm~(In)}\\ \text{Orange juice}& 20& 10& 40& 8\\ \text{Pineapple juice}& 15& 20& 10& 10\\ \text{Litchi juice}& 12& 18& 30& 8\end{array}$

Which of the following beverages contains the maximum amount of Vitamins :
i) Litchi juice worth ₹ 16

ii) Pineapple juice worth ₹ 15

iii) Orange juice worth ₹ 8

iv) All the three worth ₹ 12.5 (125 grams each)

• A. Pineapple juice worth ₹ 15
• B. Litchi juice worth ₹ 16
• C. Orange juice worth ₹ 8
• D. All the three worth ₹ 12.5 (125 grams each)

Answer 1

The correct option is B

Litchi juice worth ₹ 16

Litchi juice worth ₹ 16

Amount of litchi juice for ₹16= $\frac{250}{8}\times$ 16 = 500 gm

Hence the Vitamin content in 500 gm of Litchi = 12 % of 500 = 60 gm------------------------------(1)

Pineapple Juice worth ₹ 15

Quantity of pineapple juice for ₹ 15= $\frac{250}{10}\times$ 15 = 375 gm

Hence the vitamin content in 375 gm of pineapple juice = 15 % of 375 = 56.25 gm--------------------------------------(2)

Orange juice worth ₹ 8

Quantity of orange juice for ₹ 8= 250 gm

Hence Vitamin content in 250 gm of orange = 20% of 250 = 50gm----------------------------------(3)

All the three worth ₹ 12.5

Quantity of mixed juice = 125+125+125= 375 gm

Vitamin content = 20 % of 125 + 15 % of 125 + 12% of 125

= 47% of 125

= $\frac{47}{100}\times$125

= 58.75gm---------------------------------------------------------(4)

From (1) ,(2) , (3) and ( 4) , we can conclude that

The highest vitamin content is in litchi worth ₹ 16.