Question

Comprehension:

Study the following table, (which shows the number of units of an item manufactured and sold by 5 companies) and answer the question.

Company	No of units Manufactured (in thousands)	Sold
A	42	30
B	45	32
C	36	26
D	51	36
E	54	40

Which Company sold the highest percentage of units as compared to manufactured by it?

• A. B
• B. A
• C. E
• D. C

Answer 1

Answer:

C. E

Solution: Solution : Concept used : % units sold = (No. of units sold)/(No. of units manufactured) × 100 Calculation : % units sold of A = (No. of units sold)/(No. of units manufactured) × 100 ⇒ 30/42 × 100 ⇒ 71.42% % units sold of B = (No. of units sold)/(No. of units manufactured) × 100 ⇒ 32/45 × 100 ⇒ 71.11% % units sold of E = (No. of units sold)/(No. of units manufactured) × 100 ⇒ 40/54 × 100 ⇒ 74.074% % units sold of C = (No. of units sold)/(No. of units manufactured) × 100 ⇒ 26/36 × 100 ⇒ 72.22% ∴ E has sold the highest percentage of units sold compared to units produced. Alternate method: Concept used : x/y = a/b ⇒ x × b = a × y Calculation : B = 32/45 A = 30/42 ⇒ 15/21 E = 40/54 ⇒ 20/27 C = 26/36 ⇒ 13/18 Now compare between B and A by cross multiplication B = 32 × 21 = 672 A = 15 × 45 = 675 ⇒ A > B Now compare between A and E by cross multiplication A = 15 × 27 = 405 E = 20 × 21 = 420 ⇒ E > A Now compare between E and C by cross multiplication E = 20 × 18 = 360 C = 13 × 27 = 351 ⇒ E > C ∴ E has sold the highest percentage of units sold compared to units produced.