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You want to decorate your house with 300 light bulbs of four selected colors. You already have 32 red, 26 green and 9 yellow bulbs. You have no blue bulbs, each bulb costs Rs. 15 and you get 20% discount if you purchase 50 or more bulbs of the same color and 30% discount when you purchase 70 or more bulbs of new color. How much would you spend if you decorated your house with an equal number of bulbs of each color?

You want to decorate your house with 300 light bulbs of four selected colors. You already have 32 red, 26 green and 9 yellow bulbs. You have no blue bulbs, each bulb costs Rs. 15 and you get 20% discount if you purchase 50 or more bulbs of the same color and 30% discount when you purchase 70 or more bulbs of new color. How much would you spend if you decorated your house with an equal number of bulbs of each color? Correct Answer Rs. 2959.50

Total bulb = 300

⇒ Red + blue + green + yellow = 300

⇒ 32 Red + 26 Green + 9 Yellow

According to question,

4x = 300

⇒ x = 75

So we have to purchase

Red bulb = 75 – 32 = 43

Green bulb = 75 – 26 = 49

Yellow bulb = 75 – 9 = 66

Blue bulb = 75

⇒ Total cost = (43 × 15) + (49 × 15) + {66 × 15 × (80/100)} + {75 × 70/100 × 15}

⇒ 645 + 735 + (198 × 4) + 787.5

⇒ 2959.5

∴ Total cost will be Rs. 2959.5

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