Question : A man bought a horse and a carriage for Rs. 40,000. He sold the horse at a gain of 10% and the carriage at a loss of 5%. He gained 1% on his whole transaction. The cost price of the horse was:
Option 1: Rs. 15,000
Option 2: Rs. 16,000
Option 3: Rs. 18,000
Option 4: Rs. 20,000
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Correct Answer: Rs. 16,000
Solution : Let the cost price of the horse as $\mathrm{H}$ and the cost price of the carriage as $\mathrm{C}$. Given that the man bought a horse and a carriage for $\mathrm{Rs.}\;40,000$. $\mathrm{H + C }= 40,000$____(i) The man sold the horse at a gain of $10\%$, so the selling price of the horse was $\mathrm{1.1H}$. Also, he sold the carriage at a loss of $5\%$, so the selling price of the carriage was $\mathrm{0.95C}$. Given that he gained $1\%$ on the whole transaction, The total selling price $=1.01\mathrm{(H + C)} = 1.01 \times 40000 = \mathrm{Rs.}\;40,400$ $⇒\mathrm{1.1H + 0.95C} = 40,400$____(ii) From equation (i), $⇒\mathrm{C = 40000 - H}$ Substituting this into the second equation, $⇒\mathrm{1.1H + 0.95(40000 - H) = 40,400}$ $⇒\mathrm{0.15H=2,400}$ $⇒\mathrm{H =16,000}$ Hence, the correct answer is Rs. 16,000.
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Question : A man bought two flats for INR 60,75,000 each. He sold one flat at a 10% gain and another at a 15% loss. How much percent does he gain or lose on the whole?
Option 1: 5% loss
Option 2: 5% gain
Option 3: 2.5% loss
Option 4: 3% gain
Question : A radio dealer sold a radio at a loss of 2.5%. Had he sold it for Rs. 100 more, he would have gained $7\frac{1}{2}$%. In order to gain $12\frac{1}{2}$% he should sell it for_______
Option 1: Rs. 1080
Option 2: Rs. 1125
Option 3: Rs. 850
Option 4: Rs. 925
Question : A merchant sold an article at a 20% loss. If he had sold it for Rs. 390 more, 6% would have been gained on the cost price. What is the cost price of the article?
Option 1: Rs. 1,200
Option 2: Rs. 2,600
Option 3: Rs. 1,500
Option 4: Rs. 1,800
Question : A businessman bought an article and sold it at a loss of 5%. If he had bought it for 10% less and sold it for Rs. 33 more, he would have had a profit of 30%. The cost price of the article is:
Option 1: Rs. 330
Option 2: Rs. 155
Option 3: Rs. 150
Option 4: Rs. 300
Question : A man sells an article at a loss of 10%. If he had sold it for Rs. 75 more he would have gained 20%. The cost price of the article is (in Rs.):
Option 1: 225
Option 2: 300
Option 3: 150
Option 4: 250
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