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Question Bank [2022] — Maths (commerce) STD 12 Commerce / Arts — Question

Maharashtra BoardEnglish MediumSTD 12 Commerce / ArtsMaths (commerce)Question Bank [2022]4 Marks
Question
Find $x$ from following data if the Value Index Number is $200$.
Commodity Base Year Current Year
Prive Quantity Price Quantity
A 10 10 20 10
B 8 20 22 15
C 2 x 8 10
D 9 10 16 10
E 5 6 3 10
✓

Answer

Commodity Bae yer Current Year    
Price
$p_0$		 Quantity
$q_0$		 Price
$p_1$		 Quantity
$q_1$		 $p_0q_0$ $p_1q_1$
A 10 10 20 10 100 200
B 8 20 22 15 160 330
C 2 x 8 10 2x 80
D 9 10 16 10 90 160
E 5 6 3 10 30 30
Total         380 + 2x 800

Form the table, $\sum p _0 q _0=380+2 x , \sum p _1 q _1=800$
Value Index Number $\left(V_{01}\right)=\frac{\sum p_1 q_1}{\sum p_0 q_0} \times 100$
$\therefore 200=\frac{800}{380+2 x} \times 100$
$\therefore 380+2 x=\frac{800}{200} \times 100$
$\therefore 380+2 x=400$
$\therefore 2 x=20$
$\therefore x =10$

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