| (i) A shopkeeper bought a cycle for Rs. 1200 and sold it for Rs. 1500, then his gain percentage is 25%. |
| (ii) 200 kg of sugar was purchased at the rate of Rs. 15 per kg and sold at a profit of 5%. Then selling price of sugar is Rs. 16 per kg, |
| (iii) A person sells an article for Rs. 550 and gain \[{{\left( \frac{\text{1}}{\text{10}} \right)}^{\text{th}}}\]of the cost price. Then the gain percent is 11%. |
| (iv) The cost price of a dinning table is Rs. 1500 and its marked price is Rs. 1800. If a shopkeeper sells it at a loss of 8%, then the discount offered by him is \[\text{23}\frac{1}{3}%\]. |
A)
(i) (ii) (iii) (iv) T T F T
B)
(i) (ii) (iii) (iv) F F T F
C)
(i) (ii) (iii) (iv) T F F T
D)
(i) (ii) (iii) (iv) F F T T
Correct Answer: C
Solution :
(i) \[\text{C}\text{.P}\text{. =Rs}\text{. 1200, S}\text{.P}\text{. =Rs}\text{. 1500}\] \[\therefore \,\,\text{ Gain }\!\!%\!\!\text{ =}\frac{(1500-1200)}{1200}\times 100=\frac{300}{1200}\times 100\] \[=25%\] (ii) C.P. of 1 kg of sugar \[\text{= Rs}\text{. 15}\] C.P. of 200 kg of sugar \[\text{=Rs}\text{.(200}\times \text{15)}\] \[\text{= Rs}\text{. 3000}\] Profit = 5% \[\therefore \text{ S}\text{.P}\text{. =}\frac{\text{105}}{100}\times \text{3000= 3150}\] \[\therefore \,\,\text{S}\text{.P}\text{. of 1 kg of sugar =}\frac{3150}{200}=\text{Rs}\text{. 15}\text{.75}\] (iii) \[\text{S}\text{.P}\text{. of article = Rs}\text{. 550}\] \[\text{Gain =}{{\left( \frac{\text{1}}{\text{10}} \right)}^{\text{th}}}\text{of}\,\,\text{C}\text{.P}\] \[\text{Gain }\!\!%\!\!\text{ =}\frac{\left( \frac{\text{1}}{\text{10}} \right)\text{ }\!\!\times\!\!\text{ C}\text{.P}}{\text{C}\text{.P}}\times 100=10%\] (iv) C.P. of dinning table =Rs. 1500 Marked price =Rs. 1800 Loss =8% \[\text{S}\text{.P}\text{.=}\frac{\text{1500 }\!\!\times\!\!\text{ 92}}{\text{100}}\text{=Rs}\text{.1380}\] Now. Discount =1800-1380=Rs. 420 \[\therefore \] Discount%=\[=\frac{420}{1800}\times 100=23\frac{1}{3}%\]
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