As the sale was very low at this price level, he decided to fix the selling price at 10% profit. Find the new

selling price.

1) Rs.450 2) Rs.490 3) Rs.500 4) Rs.550 5) None of these

Solution: (4).

Let cost price = Rs.x

According to the question,

x * (100+40)/100

=700

x = (700 x 100)/140

=500

Therefore New selling price = [500 x (100 + 10)/100]

= 5 x 110 = 550 = Rs.550

2. A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He

gains 14% on the whole. The quantity sold at 18% profit is

1) 500 kg 2) 600kg 3) 400kg 4) 640 kg 5) None of these

Solution: (2).

Let the sugar sold at 8% gain = x

Therefore sugar sold at 18% gain = ( 1000 – x )

Let CP of sugar = Rs.y per kg

Total CP = Rs.1000y

Therefore [(108/100) * xy ] + 118/100 (1000-x)y

= 114/100 *1000y

= 108xy + 118000y – 118xy = 114000y

= 10x = 4000

Therefore x = 400

Therefore Quantity sold at 18% profit

= 1000 – 400 = 600 kg

3. By selling an umbrella for Rs.30, a shopkeeper gains 20%. During a clearance sale, the shopkeeper

allows a discount of 10% of the marked price. His gain percentage during the sale season is :

1) 7 2) 7.5 3) 8 4) 9 5) None of these

Solution: (3).

Given, selling price of an umbrella = Rs.30

Profit percentage = 20 %

Therefore Cost price of an umbrella

= ( 30 x 100) / 120

= Rs.25

During the clearance sale, selling price of an umbrella

= (30 x 90)/100

= Rs.27

Therefore required profit percentage = (27- 25)/25 * 100 = 8%

4. Cost of a packet of coffee powder and a litre of milk are Rs.20 and Rs.30, respectively. 10 cups of

coffee is made with one packet coffee powder and for each cup 200 ml of milk is used.If coffee is sold

at25% profit, the selling price of each cup of coffee is

1) Rs.12.50 2) Rs.6.25 3) Rs.8 4) Rs.10 5) None of these

Solution: (4).

Cost of coffee powder used in one cup = 20/10 = Rs.2

Cost of milk used in one cup

= 30/100 x 200 = Rs.6

Therefore cost of each cup of coffee

= 2+6 = Rs.8

To gain 25% profit, sale price of each cup of coffee = 125% of 8 = Rs.10

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