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Q1. A dishonest dealer marks up the price of his goods by 20% and gives a discount of 10% to the customer. He also uses a 900 gram weight instead of a 1 kilogram weight. Find his percentage profit due to these due to these maneuvers.
Q2. A shopkeeper gave an additional 15 per cent concession on the reduced price after giving 25 per cent standard concession on an article. If Arpita bought that article for Rs. 2040, what was the original price?
Q3. A certain product C is made of two ingredients A and B in the proportion of 2: 5. The price of A is three times that of B. The overall cost of C is Rs. 5.20 per kg including labour charges of 80 paisa per kg. Find the cost of B per kg ?
1kg of C contains 2/7 kg of A and 5/7 kg of B
Price of 1 kg of C = (2/7) × 3X + (5/7) X = (11/7) X
By the given condition, 11X/7
= 5.20 – 0.80
= Rs. 4.40
⇒ X = 4.40 × (7/11) = Rs. 2.80
Hence the price of B per kg = Rs. 2.80.
Q4. Meera purchased an item for Rs 52,000 and sold it at a loss of 30 percent. With that amount she purchased another item and sold it at a gain of 40 percent. What was her overall gain/loss?
Q5. A person sells 1/4th part of his property at 20% gain, 2/3rd part of the property at 21% gain and the remaining part at 12% loss what is the overall% gain or % loss incurred by him.
Q6. Rashmi and Dhaxmi invested in the ratio 3 : 2 in a business. If 20% of the total profit goes to charity and Rashmi’s share’s was Rs 960 in the total profit, find the total profit.
Q7. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is
Q8. The cost price of article A is Rs. 100 more than the cost price of article B. Article A was sold at 40% profit and article B was sold at 40% loss. If the overall profit earned after selling both the articles is 5%, what is the cost price of article B ?
Q9. Padma invested an amount of Rs 12000 at the simple interest rate of 10 per cent annum and another amount at the simple interest rate of 20 per cent per annum. The total interest earned at the end of one year on the total amount invested became 14 per cent per annum. Find the total amount invested.
Q10. A bucket contains a mixture of two liquids A and B in the proportion 5: 7 . If 6 litres of the mixture is replaced by 6 litres of liquid B, then the ratio of the two liquids becomes 3 : 5. How much of the liquid B was there in the Bucket initially?
Q11. The income of A and B are in the ratio 7 : 4. The expenses of A, B and C are in the ratio 9 : 7 :3. If C spends Rs. 4500 and B saves Rs. 1500, the How much amount would be saved by A?
Q12. Nandita goes to a shop to buy a radio costing Rs 2568 excluding sales tax. The rate of sales tax is 7%. He tells the shopkeeper to reduce the cost of the radio to such an extent that he has to pay Rs 2568, inclusive of sales tax. Find the reduction needed in the cost of the radio.
Q13. A watch is sold at a profit of 20%. If both the cost price and the selling price of the watch are decreased by Rs 100, the profit would be 25%. Original cost price of the watch is
Q14. The average score of boys in an examination of a school is 71 and that of the girls is 73. The average score of the whole school in that examination is 71.8. Find the ratio of the number of boys to the number of girls that appeared in the examination.
x = No.of boys
y = No.of girls
∴ 71x + 73y = 71.8 (x+ y)
⇒ 8x = 12y
⇒ x : y = 3 : 2
Q15. Two casks of 48 L and 42 L are filled with mixtures of wine and water, the proportions in the two casks being respectively 13 : 7 and 18 : 17. If the contents(wine and water) of the two casks be mixed and 20 L of water is added to this mixture then what will be the proportion of wine to water in the resultant solution?