A car dealer received a shipment of cars, half of which were black, with the remainder consisting of equal numbers of blue, silver and white cars. During the next month, 70 percent. of the black cars, 80 percent of the blue cars, 30 percent of the silver cars and 40 percent of the white cars were sold. What percent of the cars in the shipment were sold during that month? (Percentage)

Shohan

9 views

2025-01-04 04:42

1 Answers

Shohan

$L e t, t h e n u m b e r o f t o t a l c a r s i s 60$

$W h e r e a s, t h e n u m b e r o f b l a c k c a r s i s 30$

$A n d t h e n u m b e r o f b l u e c a r s i s 10$

$A n d t h e n u m b e r o f s i l v e r c a r s i s 10$

$A n d t h e n u m b e r o f w h i t e c a r s i s 10$

$∴ T o t a l c a r i n i t i a l l y = 30 + 10 + 10 + 10 = 60$

$D u r i n g t h e n e x t m o n t h, B l a c k c a r s s o l d 70 % o f 30 = 21$

$∴ B l u e c a r s s o l d 80 % o f 10 = 8 ∴ S i l v e r c a r s s o l d 30 % o f 10 = 3$

$∴ W h i t e c a r s s o l d 40 % o f 10 = 4 ∴ T h e n u m b e r o f s o l d c a r s = 21 + 8 + 3 + 4 = 36$

$∴ T h e p e r c e n t a g e o f c a r s i n t h e s h i p m e n t w e r e s o l d d u r i n g t h a t m o n t h = (\frac{36}{60} \times 100) % = 60 %$

Answer: 60%

9 views Answered 2024-12-14 13:31

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