Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

The prices and quantities of some commodities are given below :

Commodities Prices in (₹) Quantities
$p_0$ $p_1$ $q_0$ $q_1$
A 140 180 10 12
B 400 550 7 8
C x 250 6 8
D 125 y 8 11
E 200 300 4 6

Given that $∑p_0q_0= 6600, $ and $∑p_1q_1=12-10.$ Based on the above information the value of x is :

Options:

80

100

90

110

Correct Answer:

100

Explanation:

The correct answer is Option (2) → 100

$∑p_0q_0= 6600$

$140(10)+400(7)+x(6)+125(8)+200(4)=6600$

$⇒6000+6x=6600$

$⇒6x=600$

$⇒x=100$