A shopkeeper marks his goods at 20% above the cost price. He sells thr

1.	A shopkeeper marks his goods at 20% above the cost price. He sells three - fourths of his goods at the marked price. He sells the remaining goods at 50% of the marked price. Determine his profit per cent on the whole transaction. (a) 10% (b) 8% (c) 5% (d) 7%
Answer» (c) 5% Let the C.P. = Rs 100. Then, M.P. = Rs 120 S.P of \(\frac{3}{4}\)th of goods = \(\frac{3}{4}\) x Rs 120 = Rs 90 S.P. of remaining \(\frac{1}{4}\)th of goods = \(\frac{50}{100}\)x \(\frac{1}{4}\) x Rs 120 =Rs 15 \(\therefore\) Total S.P. = Rs 90 + Rs 15 = Rs 105 \(\therefore\) Gain = Rs 105 – Rs 100 = Rs 5, i.e., Gain% = 5%

A shopkeeper marks his goods at 20% above the cost price. He sells three - fourths of his goods at the marked price. He sells the remaining goods at 50% of the marked price. Determine his profit per cent on the whole transaction. (a) 10% (b) 8% (c) 5% (d) 7%

Answer»

(c) 5%

Let the C.P. = Rs 100. Then, M.P. = Rs 120

S.P of \(\frac{3}{4}\)th of goods = \(\frac{3}{4}\) x Rs 120 = Rs 90

S.P. of remaining \(\frac{1}{4}\)th of goods = \(\frac{50}{100}\)x \(\frac{1}{4}\) x Rs 120

=Rs 15

\(\therefore\) Total S.P. = Rs 90 + Rs 15 = Rs 105

\(\therefore\) Gain = Rs 105 – Rs 100 = Rs 5, i.e., Gain% = 5%

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