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The price of LED strap is directly proportional to square to its length. A shopkeepers cut the LED strap in the ratio of 5 ∶ 4 ∶ 3 and this leads to a loss of Rs 1880. What is the initial price of LED strap?

The price of LED strap is directly proportional to square to its length. A shopkeepers cut the LED strap in the ratio of 5 ∶ 4 ∶ 3 and this leads to a loss of Rs 1880. What is the initial price of LED strap? Correct Answer 2,880

Calculation:

Let initial length of the LED strap = (5 + 4 + 3) = 12 unit

So, initial price of the LED strap = 122 = 144

Price, after cutting the LED strap = 52 + 42 + 32 = 25 + 16 + 9 = 50

⇒ (144 - 50) unit = 1880

⇒ 94 unit = 1880

⇒ 1 unit = 20

∴ initial price of the LED strap = 144 × 20 = Rs 2,880

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