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A manufacturer sells his goods to a wholesaler at 10% gain, the wholesaler to the retailer at 20% gain and the retailer to the customer at 30% gain. Find what percent the customer has to pay more on the manufactured price?

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60%

66 \frac{2}{3} %

48 \frac{1}{5} %

71 \frac{3}{5} %

answer is D.

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Detailed Solution

Let the price of goods = Rs. 100.
Selling price at 10% profit
=Rs. (100+10)
= Rs. 110.
∴ Selling price of retailer at 20% gain =

Rs (110 + 110 \times \frac{20}{100})

= Rs . 132

∴ Selling price to consumer at 30% gain

= (132 + 132 \times \frac{30}{100})

= Rs . 171.6

The net increase in consumer price = Rs. (171.6−100)
= Rs. 71.6 over Rs. 100
=71.6%

= 71 \frac{3}{5} %

Correct option is 4.

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