Class 8: Chapter 14 Profit and Loss Exercise 14C

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Dennis Grant
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1 Class 8: Chapter 14 Profit and Loss Exercise 14C Q1. The marked price of a refrigerator is Rs The shopkeeper offers on off-season discount of 16% on it. Find its selling price. Marked Price = Rs Off season discount = 16% 16 Discount = Rs. Market Price 16 = Rs = Rs Selling Price = Marked Price Discount = = Rs. Q2. The price of a sweater was slashed down by a shopkeeper from Rs.850 to Rs.731. Find the rate of discount given by him. Market Price of the sweater = Rs. 850 Selling Price = Rs. 731 Discount = Marked Price Selling Price = Rs. 850 Rs. 731 = Rs. 119 % age Discount = 119 x = 14% 850 Q3. Find the rate of discount being given on mini toy-gun whose selling price is Rs.345 after deducting a discount being given on a mini toy-gun whose selling price is Rs. 345 after deducting a discount of Rs.30 on its marked price. Selling Price of a mini toy gun = Rs. 345 Discount = Rs. 30 Marked Price = Selling Price + Discount = Rs Rs. 30 = Rs

2 % age Discount = 30 = 8% 375 Q4. After allowing a discount of 15%, a baby-suit was sold for Rs.1156.find its marked price. Selling Price of a baby suit = Rs Discount = 15% Let Marked Price = Rs. x Discount = 15 x Selling Price = x 15x = 85 Equating the above with actual selling price 85 x = x ( ) = Marked Price of the body Suit = Rs Q5. A calculator was bought for Rs.435 after getting a discount of 13%. Find the marked price of the calculator. Purchase Price of the calculator = Selling Price of the calculator = Rs. 435 Discount = 13% on the marked price Let Marked Price = Rs. x Discount = 13 M. P. = S. P. + Discount x = x 13 x = x = x = = Marked price of the calculate = Rs

3 Q6. A dealer marked his goods 35% above cost price and allowed a discount of 20% on the market price. Find his gain or loss per cent. Let Cost Price = Rs. x Marked Price = x + 35 = 135 Discount = 20% on M. P. = ( ) M. P. = ( ) (135 ) x S. P. = M. P. Discount = x 135 = Profit = S. P. Cost Price = x x = 1.08 x x = 0.08 x % age profit = Profit C. P. = 0.08x x = 8% Q7. An article was marked 40% above cost price and a discount of 35% was given on its marked price. Find the gain or loss per cent made by the shopkeeper. Let Cost Price = Rs. x Marked Price = x + 40 = 140 Discount = 35% of the M. P. = S. P. = M. P. Discount = 140 x

4 Gain = Cost S. P. = x = x 0.91x = 0.09x % Gain = 0.09x x = = 9% Q8. A dealer purchased a washing machine for Rs after allowing a discount of 12% on its marked price, he gains 10%. Find the marked price. The cost price = Rs Let M. P. = Rs. x Discount = 12 S. P. = M. P. Discount = Rs. x 12 = Rs. Gain is 10% of the cost Price 10 = Rs = Rs. 766 Gain = S. P. Cost Price = x = x 7660 x = = x = Rs. ( ) = Rs Q9. A shopkeeper bought a sewing machine for Rs after allowing a discount of 10% on its marked price, he gains 26%. Find the marked price of the sewing machine. 4

5 Cost of the sewing machine = Rs Let Mark Price. = Rs. x Discount = 10 Selling Price = x 10 = 90 Gain = Selling Price Cost Price = ( 90 x 3750).. (1) Gain is 26% of the CP. = = 975 (2) Equating 1) and 2) 90 x 3750 = 975 x = ( ) 90 = 5250 Marked Price = Rs Q10. After allowing a discount of 10% on the marked price, a trader still makes a profit of 17%. By what per cent is the marked price above cost price? Let Marked Price = Rs. x S. P. = x Discount of 10% of x = x 10 = 90 S. P C. P % Gain = x C. P (% of gain) (C. P. ) = S. P. CP (% gain) (C. P. ) + C. P. = S. P. S. P. C. P. = % gain + 90 x = 17 + = x 5

6 Difference between M. P. and CP. = x x = x % age of difference in marked price over cost price = x x = 30% Q11. After allowing a discount of 12% on the marked price, a shopkeeper still gains 21%. By what per cent is the marked price above cost price? Let marked price in Rs. x S. P. = x 12% discount on x = x 12 = S. P. C. P. = % gain + = x 21 + = Difference between M. P. and C. P. = x = 33 % of difference in marked price over cost price 33 = = 33 = = 37.5% Q12. Find a single discount equivalent to two successive discounts of 20% and 10% Let the M. P. of the article be Rs. Ist Discount is 20%, Discount = Rs. 20 Reduced Price after the first discount = Rs. ( 20) = Rs. 80 Second discount is 10% of Rs. 80 = = Rs. 8

7 Price after the second discount = Rs. 80 Rs. 8 = Rs. 72 S. P. of the article Rs. 72 Net discount = Rs. Rs. 72 = Rs. 28 Thus, net discount on M. P. of Rs. is Rs. 28 Single discount equivalent to given successive discounts = Rs. 28% Q13. Find a single discount equivalent to two successive discounts of 40% and 5%. Let the M. P. of an article is Rs. Discount on it is = 40% of Rs. = Rs. 40 Reduced Price after first discount = Rs. ( 40) = Rs. 60 Next Discount is = 5% of Rs. 60 = Rs. ( 5 60) = Rs. 3 Price after second Discount = Rs. (60 3) = Rs. 57 That is S. P. = Rs. 57 Net Discount = M. P. S. P. = Rs. 57 = Rs. 43 Thus, net discount on MP. Of Rs. is Rs. 43, Single discount equivalent to given successive discounts = 43% Q14. Find a single discount equivalent to three successive discounts of 20%, 5% and 1% Let the M. P. of an article in Rs. It discount on it is = 20% of Rs. = Rs. 20 Reduced price after the its discount = Rs. 20 = Rs. 80 Second discount on it = 5% of Rs. 80 = 5 80 = Rs. 4 Price after second discount = Rs = Rs. 76 Third discount on it is 1% of Rs = 76 = 0.76 Price after Third discount = Rs = Rs S. P. of the article = Rs Thus, net discount on M. P. of Rs. in Rs Single discount equivalent to given successive discounts = 24.76% 7

Einstein Classes, Unit No. 102, 103, Vardhman Ring Road Plaza, Vikas Puri Extn., Outer Ring Road New Delhi , Ph. : ,

Einstein Classes, Unit No. 102, 103, Vardhman Ring Road Plaza, Vikas Puri Extn., Outer Ring Road New Delhi , Ph. : , P&L - PROFIT AND LOSS. When the selling price of an article is Rs 280, the loss percentage is 20%. What is the loss or gain percentage, if the selling price is increased to Rs 80? 4 5 (a) 8 %, profit (b)