Question : A person sold two items each for INR 42,600. On the first item, he made a loss of 25%, while on the second, he gained 20%. Find his overall percentage gain or loss, giving your answer correct to one place of decimal.
Option 1: 7.7% gain
Option 2: 7.7% loss
Option 3: 8.3% loss
Option 4: 8.2% loss
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Correct Answer: 7.7% loss
Solution : Here the cost price is denoted by CP, the selling price is denoted by SP. He sold both the items for Rs. 42,600. On the first item, he made a loss of 25% CP of the first item $= 42,600\times \frac{100}{(100-25 \%)} = 56800$ On the second item, he gained $20$% CP of 2nd item $= 42,600\times \frac{100}{(100+20 \%)} = 35500$ Total CP of both items is = Rs. 56,800 + Rs. 35,500 = Rs. 92,300 Total SP of both items is = Rs. 42,600 + Rs. 42,600 = Rs. 85,200 Loss = Rs. 92,300 – Rs.85,200 = Rs. 7,100 Loss % = $\frac{7100}{92300}\times 100 = 7.7$% Hence, the correct answer is a 7.7% loss.
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Question : Sourabh purchased an article for INR 48,000 and sold it at a loss of 12%. With that amount, she purchased another item and sold it at a gain of 20%. What is the overall gain or loss in INR?
Option 1: INR 2,688 loss
Option 2: INR 14,208 loss
Option 3: INR 2,688 gain
Option 4: INR 14,208 gain
Question : A person purchased ten boxes of grapes for INR 2,000 per box. Each box contained 20 kgs of grapes. He sold each box at the rate of INR 2,500 per box. But on the whole, 10 kgs of grapes were damaged. Further, he paid INR 1,000 as transport charges. Find his gain or loss.
Option 1: Gain INR 2,050
Option 2: Loss INR 1,000
Option 3: Gain INR 2,750
Option 4: Loss INR 1,500
Question : A sold an item to B at a gain of 25% and B sold it to C at a loss of 10%. If C paid INR 6,520 for it, then the cost price of the item for A was:
Option 1: INR 4,355$\frac{4}{9}$
Option 2: INR 6,125$\frac{1}{9}$
Option 3: INR 4,785$\frac{4}{9}$
Option 4: INR 5,795$\frac{5}{9}$
Question : A seller sold a bag at a profit of 12%. If he had sold it for INR 900 more, he would have gained 27%. What is the cost price of the bag?
Option 1: INR 6000
Option 2: INR 6500
Option 3: INR 5500
Option 4: INR 7000
Question : A man buys an article for INR 80 and marks it at INR 125. He then allows a discount of 40%. What is his percentage of loss or gain?
Option 1: 12% gain
Option 2: 10% gain
Option 3: 6.25% loss
Option 4: 12% loss
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