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1. A shopkeeper marks his goods 20% above cost price, but allows 30% discount for cash payment. His net loss is ?

A. 8%

B. 10%

C. 16%

D. 20%

Solution:

Let the cost price of goods = Rs. 100
Market price of goods

\begin{aligned} =  120 % of 100 \\ = \frac{120}{100} \times 100 \\ =  Rs . 120 \end{aligned}

After discount selling price of goods
= 70% of 120
= Rs. 84

\begin{aligned} Loss  =  100 - 84 = Rs .16 \\ Loss % = \frac{16}{100} \times 100 = 16 % \end{aligned}

Alternate :

\begin{aligned} Formula  = x \pm y \pm \frac{x \times y}{100} \\ Loss % =  20 - 30 - \frac{20 \times 30}{100} \\ = - 10 - 6 \\ = - 16 % (Loss) \end{aligned}

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