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Mathematics

The cost of making an umbrella is divided between material, labour and overheads in the ratio 6 : 4 : 1. If the material costs ₹ 132, find the cost of production of an umbrella.

Ratio Proportion

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Answer

Given,

The ratio of material : labour : overheads = 6 : 4 : 1

Let the cost of material be 6x, labour be 4x and overheads be x.

Given,

Cost of material = ₹ 132

⇒ 6x = 132

⇒ x = 1326\dfrac{132}{6}

⇒ x = 22.

The total cost of production of an umbrella = 6x + 4x + 1x = 11x

= 11 × 22

= ₹ 242.

Hence, cost of production of an umbrella = ₹ 242.

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