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Profit and Loss





Question


Q1. A person sell 18 articles for the same money as he paid for 24 article . Find gain percent ?

(a) 33.3% (b) 43% (c) 39% (d) 42%

Solution.
=
x - y/y
x 100%

Where x = purchase articles, y = sold articles

=
24 - 18/18
x 100

=
6/18
x 100

= 33.3%
Solution

Q2. A sells a good to B at a profit of 20% and B sells it to C at a profit of 15%. If C pays Rs. 215 for it , What did A pay for it ?

(a) 155.8 (b) 160 (c) 179.6 (d) 182

Solution.
= 215 x 100/120 x 100/115

= 155.8
Solution

Q3. A dishonest dealer claims to sell his goods at a loss of 10% but weight 900 gms in the place of a Kg .

(a) 2% loss (b) 2% profit (c) 6% profit (d) no profit no loss

Solution.
no profit no loss

= (100 - 10)(1000/900) - 100

(90 x 1000)/900 - 100

= (100 - 100)

= 0%
Solution

Q4. A shopkeeper gives 10% discount on watch , whose listed price is Rs.1100, Apart from this the shopkeeper gets profit of 10%. Find the cost price of a watch .

(a) Rs.400 (b) Rs.900 (c) Rs.700 (d) Rs.600

Solution.
(b) Rs.900
Solution

Q5. If 12 bananas are bought for Rs.11 and 11 bananas are sold for Rs.12. find gain or loss percent .

Solution.
C.P of 12 bananas = Rs.11
C.P of 1 banana = 11/12
S.P of 11 bananas = Rs.12
S.P of 1 bananas = 12/11
S.P > C.P
gain = 12/11 - 11/12
= (144 - 121/132) = 23/132
gain % = (23/132) x (12/11) x 100
= 2300/121
Solution

Q6. A person bought an article and sold it at a loss of 10% . If he had bought it for 20% less and sold it for Rs. 66 more he would have had a profit of 40% . find C.P .

(a) Rs. 600 (b) Rs.300 (c) Rs.400 (d) Rs.500

Solution.
(b) Rs.300
Solution

Q7. A shopkeeper buys some juice . He sells it at Rs.10 a litre, he loses Rs.300, but when he sells it at Rs.11 a litre, he gains 200, How much Juice did he purchase ?

(a) 150 litres (b) 300 litres (c) 400 litres (d) 500 litres

Solution.
Quantity of juice =
Different in amount / Different in rate
=
200 - (-300) / 11 - 10
= 500 litres
Solution

Q8. Each of the two tables is sold for Rs.720 the first one is sold at 25% profit and the other one at 25% loss. what is the percentage of loss or gain in this deal ?

(a) 7% (b) 6.25% (c) 6% (d) 5.5%

Solution.
In this,there is always loss.

% loss = (25)2/100

= 625/100

= 6.25%
Solution

Q9. A sells a good to B at a profit of 20% and B sells it it C at a profit of 25% . If C pays Rs.500 for it, what did A pay for it.

(a) Rs.400 (b) Rs.394 (c) Rs.334 (d) Rs.500

Solution.
Trick = a + b + ab/100
a and b are profit percentage
= 20 + 25 + 500/100 = 50%
Rs.334
Solution

Q10. A student sold a book at a profit of of 12%. If he sold it for Rs.30 more, then he gained 18% . Find the cost price .

(a) Rs 200 (b) Rs 300 (c) Rs 400 (d) Rs 500

Solution.
18% of cost - 12% of cost = Rs 30
6% of cost = Rs 30
cost price = 30 x 100/6 = 500
Solution