A seller marks the price 50\% above the cost price and gives 10\% discount on an item. While selling, he cheats the customer by giving 20\% less in weight. Find his overall profit percent (approximate).

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**Solution:**

1. Assume the cost price (CP) of 100 grams of the item is Rs. 100.

2. The seller marks the price 50% above the cost price, so the marked price (MP) is:
   $$	ext{MP} = 100 + 50\% 	imes 100 = 100 + 50 = Rs. 150$$

3. The seller gives a 10% discount on the marked price, so the selling price (SP) per 100 grams is:
   $$	ext{SP} = 150 - 10\% 	imes 150 = 150 - 15 = Rs. 135$$

4. However, the seller cheats by giving 20% less weight. Instead of 100 grams, he gives only 80 grams.

5. So, the customer pays Rs. 135 but receives only 80 grams.

6. The effective cost price for the seller for 80 grams is:
   $$	ext{CP for 80 grams} = \frac{100}{100} 	imes 80 = Rs. 80$$

7. Profit made by the seller:
   $$	ext{Profit} = 	ext{SP} - 	ext{CP for 80 grams} = 135 - 80 = Rs. 55$$

8. Profit percentage on cost price:
   $$	ext{Profit \%} = \frac{	ext{Profit}}{	ext{CP for 80 grams}} 	imes 100 = \frac{55}{80} 	imes 100 = 68.75\% \approx 68\%$$

**Answer:** 68\%

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