The cost of a washing machine is 25% less than the cost of a TV.
The cost of a washing machine is 25% less than the cost of a TV. If the cost of the washing machine increases by 87% and that of the TV decreases by 45%, then what is the percentage change in the total cost of 4 washing machines and 5 TVs?
एक वॉशिंग मशीन की कीमत, एक TV की कीमत से 25% कम है। यदि वॉशिंग मशीन की कीमत में 87% की वृद्धि होती है और TV की कीमत में 45% की कमी होती है, तो 4 वॉशिंग मशीनों और 5 TV की कुल कीमत में प्रतिशत परिवर्तन कितना होगा?
Detailed Solution & Logic
Increase by 4.5%/
Let the cost of a TV = ₹100 (for simplicity)
Then, cost of a washing machine = 25% less than TV
Cost of washing machine = 100 - 25 = 75
Step 1: Total cost before changes
4 washing machines + 5 TVs:
$ 4 \cdot 75 + 5 \cdot 100 = 300 + 500 = 800 $
Step 2: New costs after changes
-
Washing machine increases by 87% → New cost = $ 75 \cdot 1.87 = 140.25 $
-
TV decreases by 45% → New cost = $ 100 \cdot 0.55 = 55 $
Total new cost:
$ 4 \cdot 140.25 + 5 \cdot 55 = 561 + 275 = 836 $
Step 3: Percentage change in total cost
$ \text{Percentage change} = \frac{836 - 800}{800} \times 100 = \frac{36}{800} \times 100 = 4.5% $
✅ Answer: 4.5% increase
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