Solution suppose the price of milk 1 rs per ml

Solution: Suppose the price of milk = 1 Rs per ml shopkeeper takes 120 ml, and pays only Rs.
100
While selling he gives only 75 ml and shows 100 ml.
Total selling price of 120 ml
100/75×120 = 160, hence percentage profit = 60%
Example 4: A sells an item at a profit of 20% to B and B sells it to C at a profit of 10%. Find the
resultant profit percent?
Solution: When there are two successive profit of x% and y% , net profit percentage
= {x+y+(xy/100)}
= 20+ 10 + {(20 x 10)/100} = 32%
Example 5: The cost price of 25 articles is equal to selling price of 20 ar-ticles. The gain percent is?
Solution: Profit percentage = (x-y/y) * 100%
%Gain = {(25-20)/20} x100 = 5/20 x 100 = 25%
Example 6: A man sold an article at a loss of 20%. If he has sold that article for Rs. 12 more he
would have gained 10%. Find the cost price of that article
Solution: Let the CP be x
SP at 20% loss = Rs 0.8x

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Department of Analytical Skills
0.8x + 12 = 1.1x
=>0.3x = 12
=> x = Rs 40
Example 7: In a transaction, the profit percentage is 80% of the cost. If the cost further increases by
20% but the selling price remain the same, how much is the decrease in profit percentage?
Solution: Let us assume CP = Rs. 100.
Then Profit = Rs. 80 and selling price = Rs. 180.
The cost increases by 20% → New CP = Rs. 120, SP = Rs. 180.
Profit % = 60/120 * 100 = 50%.
Therefore, Profit decreases by 30%.
Example 8: A man bought some toys at the rate of 10 for Rs. 40 and sold them at 8 for Rs. 35. Find
his gain or loss percent.
Solution: Cost price of 10 toys = Rs. 40 → CP of 1 toy = Rs. 4.
Selling price of 8 toys = Rs. 35 → SP of 1 toy = Rs. 35/8
Therefore, Gain = 35/8 – 4 = 3/8.
Gain percent = (3/8)/4 * 100 = 9.375%
Example 9: A shopkeeper allows a discount of 10% on the marked price and still gains 17% on the
whole. Find at what percent above the cost price he marked his goods.
Solution: Let the cost price be 100. Then SP = 117.
Let the marked price be x.
So, 90% of x = 117 → x = 130.
Therefore, he marked his goods 30% above the cost price.
Example 10: A shopkeeper offers a discount of 20% on the selling price. On a special sale day, he
offers an extra 25% off coupon after the first discount. If the article was sold for Rs. 3600, find
I. The marked price of the article and
II. The cost price if the shopkeeper still makes a profit of 80% on the whole after all discounts are
applied.
Solution: Let the marked price of the article be x.
First a 20% discount was offered, on which another 25% discount was offered.
So, 75% of 80% of x = 3600
75/100 * 80/100 * x = 3600 → x = 6000.
So the article was marked at Rs. 6000.
Cost price of the article = [100 / (100+80)]*3600 = Rs. 2000.

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Department of Analytical Skills
LEVEL – I