Question : On selling a painting at Rs. 1,498, the gain is 25% more than the loss incurred on selling it at Rs. 1,300. To gain 25%, the selling price will be:
Option 1: Rs. 1,735
Option 2: Rs. 1,335
Option 3: Rs. 1,755
Option 4: Rs. 1,388
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Correct Answer: Rs. 1,735
Solution : Let the cost price (CP) be $x$ According to the question, (1498 – $x$) = ($x$ – 1300) × $\frac{125}{100}$ ⇒(1498 – $x$) = ($x$ – 1300) × $\frac{5}{4}$ ⇒ 4 × (1498 – $x$) = ($x$ – 1300) × 5 ⇒ 5992 – 4$x$ = 5$x$ – 6500 ⇒ 9$x$ = 12492 $x$ = CP = 1388 $\therefore$ For gaining 25%, selling price (SP) = 1388 × $\frac{125}{100}$ = Rs. 1,735 Hence, the correct answer is Rs. 1,735.
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Question : If the selling price of 40 articles is equal to the cost price of 50 articles, the loss or gain percent is:
Option 1: 25% gain
Option 2: 20% gain
Option 3: 25% loss
Option 4: 20% loss
Question : The profit obtained by selling an article for Rs. 625 is the same as the loss incurred if it is sold for Rs. 545. The price at which it is to be sold to realize a profit of Rs. 65 on the cost price is:
Option 1: Rs. 640
Option 2: Rs. 630
Option 3: Rs. 650
Option 4: Rs. 660
Question : A T.V. is sold at 8% gain. Had it been sold for Rs. 714 more, the gain would have been 15%. To gain 18%, the selling price of the T.V. should be:
Option 1: Rs. 12,036
Option 2: Rs. 12,138
Option 3: Rs. 11,934
Option 4: Rs. 12,240
Question : The profit earned by a shopkeeper by selling a bucket at a gain of 8% is Rs. 28 more than when he sells it at a loss of 8%. The cost price (in Rupees) of the bucket is:
Option 1: 170
Option 2: 190
Option 3: 175
Option 4: 165
Question : A dealer marks his goods at 20% above the cost price and allows a discount of 15% on the marked price. What is his gain or loss percentage?
Option 1: 4% gain
Option 2: 2% loss
Option 3: 2% gain
Option 4: 4% loss
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