A trader marked his goods at 20 % above cost price. He sold half stock at marked price, one quarter

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7.Profit and Loss

easy

A trader marked his goods at $20 \%$ above the cost price. He sold half the stock at the marked price, one quarter at a discount of $20 \%$ on the marked price and the rest at a discount of $40 \%$ on the marked price. His total gain is.......$\%$

$2$

$4.5$

$13.5$

$15$

Solution

Marked price $=1.2 \times$ $C.P.$

Total $S.P.$ $=\frac{1}{2} \times(1.2 \times$ C.P. $)+\frac{1}{4} \times 0.8 \times 1.2 \times$ C.P. $+\frac{1}{4} \times 0.6 \times 1.2 \times$ $C.P.$

$=(0.6+0.24+0.18) C.P. =1.02 C.P.$

$\therefore \quad$ Total gain $=2 \%$

Standard 13

Quantitative Aptitude

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medium

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medium

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easy

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medium

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hard

A trader marked his goods at $20 \%$ above the cost price. He sold half the stock at the marked price, one quarter at a discount of $20 \%$ on the marked price and the rest at a discount of $40 \%$ on the marked price. His total gain is.......$\%$

Solution

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