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 refrigerator and a washing machine were sold for Rs. 24000 each. If the refrigerator was sold at a gain of 20% and the washing machine at a loss of 20%. What is the overall profit or loss percent in the whole transaction?
Option 1: 4% profit
Option 2: 5% profit
Option 3: 4% loss
Option 4: 5% loss
Question : The enhanced salary of a man becomes Rs. 24,000 after a 20% increment. His previous salary was:
Option 1: Rs. 20,000
Option 2: Rs. 21,000
Option 3: Rs. 16,000
Option 4: Rs. 18,000
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
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