A wholesaler allows a discount of 20% on the list price to a retailer. The retailer sells at 5%discount on the list price. If a customer paid Rs. 114 for an article, what profit is made by the retailer ?
Find, also, the retailer's percentage profit on his cost.

Rs. 20; 19.75%

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Rs. 18; 18.75%

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Rs. 22; 20.75%

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none of the above

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Solution

The correct option is B Rs. 18; 18.75%
Let the list price of the article be $R s x$
So, the retailer bought it from the wholesaler at $(100 - 20) = 80$ % of $x = R s . 0.8 x$
And the retailer sold it at $(100 - 5) = 95$ % of $x = R s . 0.95 x$
Given, $0.95 x = R s 114$
$=> x = R s 120$
So, for the retailer,
$C . P . . = R s 0.8 x = R s . 0.8 \times 120 = R s 96$
And given $S P = R s . 114$
$=> P r o f i t = S . P . - C . P . = R s . 114 - R s . 96 = R s . 18$
Hence, profit % $= \frac{S . P . - C . P .}{C . P .} \times 100 = \frac{18}{96} \times 100 = 18.75$ %

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A wholesaler allows a discount of 20% on the list price to a retailer. The retailer sells at 5%discount on the list price. If a customer paid Rs. 114 for an article, what profit is made by the retailer ?Find, also, the retailer's percentage profit on his cost.

A wholesaler allows a discount of 20% on the list price to a retailer. The retailer sells at 5%discount on the list price. If a customer paid Rs. 114 for an article, what profit is made by the retailer ?
Find, also, the retailer's percentage profit on his cost.