Ques 1.A dealer buys 30 dolls of which 8 are grade and the rest second grade , for Rs 4725. Find at what rate he must sell the first grade doll, so that if he sells the second grade doll at three - quarters of the price, he makes a profit of 40% on his outlay.
Ques 2.I buy 190 screws at 40 paise each from a wholesaler .I fix the selling price per screw to give me a profit of 45% of the cost price and sell two-fifths of the screws at this price. I then lower the selling price per screw so that my profit on the remaining screws is only 20% of the cost price. Find my total profit if all the screw are sold .
Ans 2. As per principle of weighted average, the average profit %
Ques 3.A dealer sell two scooters, one at a profit of 15% and the other at a loss of 15%.The selling price of both the scooters is the same as Rs 9775. The gain or loss in the transaction is
(a) 2% loss
(b) 2% gain
(c) 2.25% loss
(d) Neither gain or loss
Ans 3. 2. 25% loss
Ques 4.Anita sold a painting at a profit of 11%. Had she sold it for Rs 175 more, she would have gained 18%.The cost price of the painting is Rs
Ans 4. 2500
Ques 5.A merchant purchased 5 quintals of sugar for Rs 2900 and spent Rs 45 on transport, 5 paise per kg as octroi duty and Rs 30 as coolie charges . He sold the sugar at Rs 6.30 per kg. What was his gain per cent ?
(a) 8 1/3%
(d) 6 2/3%
Ans 5. 5%
Hint : Effective cost price per kg
= Rs [ 2900/500 + 45/500 + 0.05 + 30/500 ]
Ques 6.A trade purchases two types of sugar at the rate of Rs 5 per kg. and Rs 4 per kg. In what ratio should he mix them to earn a profit of 10% by selling the mixture at Rs 5 per kg ?
(a) 5 : 6
(b) 4 : 5
(c) 5 : 4
(d) 6 : 5
Ans 6. 6 : 5
Hint : Let the quantities mixed be x kg and y kg
110/100 x ( 5x + 4y) = 5 ( x+ y)
Ques 7.X sold his goods to Y at a loss of 25%. Y sold it to Z at a price that would have given X a gain of 50%. Determine the gain per cent of Y.
Ans 7. 100%
Hint : C.P of X = Rs 100, C.P. of Y = rs 75.
C.P. of Z = Rs 150
Ques 8.A cloth merchant has announced 255 rebate in prices .If one needs to have a rebate of Rs 42, then how many shirts costing Rs 28 each should he purchase ?
Ans 8. 6
Hint : No. of shirts = ( 100/25 x 42) ÷ 28
Ques 9.A dishonest seller professes to sell his goods at cost price but use a weight of 900 g for a kilogram weight. His gain % is
(a) 11 1/9%
(b) 16 1/4 %
(c) 3 1/8%
(d) None of these
Ans 9. 11 1/9%
Ques 10.Marked price of an article is 30% above cost price. What will be the gain % after allowing a 20% discount to a customer ?
Ans 10. 4%
Hint : Gain % = ( 30-20- 30 x 20/100) %
Ques 11.A man bought goods 1/3rd of which he sold at a profit of 14% 3/5th at a profit of 17 1/2% and the remainder at a profit of 20%. The profit % on the whole consignment was
(a) 16 1/2%
Ans 11. 16 1/2%
Hint : Use weighted mean concept
Ques 12.A merchant marked his goods at 40% above what he had paid for them.He was able to sell half the goods at their marked price, but to sell the remainder , he had to allow a discount of 10% . His gain per cant is
Ans 12. 33