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An almirah is sold at Rs 5,225 after allowing a discount of 5%. Find its marked price.


Sale price of the almirah = Rs 5225

Discount rate = 5%

Since,             Discount = 5% of marked price

∴  [Marked price] - Discount = Sale price

or     [Marked price] - 5 over 100 cross times left square bracket Marked space price right square bracket = Sale price

or                        Marked price open square brackets 1 minus 5 over 100 close square brackets = Sale price

or                            Marked price 95 over 100 = Sale price (= Rs 5225)
or                                 Marked price = Rs 5225 cross times100 over 95
                                                     = Rs 5500

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A table marked at Rs 15,000 is available for Rs 14,400. Find the discount given and the discount per cent.


Marked price of the table = Rs 15000

Sale price of the table = Rs 14400

∴                    Discount = [Marked price] - [Sale price]
                                 =[Rs 15000] - [Rs 14400]
                                 = Rs 600

Discount per cent =   fraction numerator Discount over denominator Marked space price end fraction space cross times space 100

                       = 600 over 15000 cross times 100 %
                    
                       = (2 cross times 2)%

                       = 4%

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Find selling price (SP) if a profit of 5% is made on a cycle of Rs 700 with Rs 50 as overhead charge.


∵  Total cost price = Rs 700 + Rs 50 (Overhead expenses)
                       = Rs 750

          Profit = 5% of Rs 750

                   = Rs 5 over 100 cross times Rs space 750 space equals space fraction numerator Rs space 5 cross times 15 over denominator 2 end fraction

                    = Rs 75 over 2 equals Rs space 37.50

Now,             SP = CP + Profit
                        = Rs 750 + Rs 37.50
                        = Rs 787.50
                  

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Find selling price (SP) if a profit of 5% is made on

(a) a cycle of Rs 700 with Rs 50 as overhead charges.

(b) a lawn mower bought at Rs 1150 with Rs 50 as transportation charges.

(c) a fan bought for Rs 560 and expenses of Rs 40 made on its repairs.


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A shopkeeper bought two TV sets at Rs 10,000 each. He sold one at a profit 10% and the other at a loss of 10%. Find whether he made an overall profit or loss.


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