01.Arithmetic - Basic 7 questions, 1 mark each Q 01. Rachel bought a bag for $750 and sold it for a loss of $32. What is the selling price of the bag? Ops: A. $718 B. $825 C. $850 D. $782 Q 02. The population of a town has increased from 12,000 to 16,000. Find the percentage increase. Ops: A. 33.33% B. 50% C. 45.67& D. 40% Q 03. If m : n = 6 : 7 and n = 19.6, then what is the value of m? Ops: A. 24.6 B. 16.8 C. 21.4 D. 12.9 Q 04. Jacob spends 8% of his income on transport and 60% of the remaining amount on food. After these expenses, he managed to save $662.4. His income is: Ops: A. $900 B. $1800 C. $1100 D. $1000 Q 05. Incomes of Sophia and Alice are in the ratio of 7 : 9 and each of them saves $360. Find Sophia's income, if the ratio of their expenditures is 2 : 3? Ops: A. $1420 B. $840 C. $1360 D. $1080 Q 06. If the cost price of an item is $840, the mark up is 15% and the discount is 10%, then find the profit percent. Ops: A. 6.2% B. 7% C. 3.5% D. 4.8% Q 07. The ratio of water and oil in a mixture of 72 litres is 11 : 13 . How many litres of water must be added to the mixture to make the ratio 5 : 4? Ops: A. 22.75 litres B. 19.56 litres C. 15.75 litres D. 14.89 litres
Question
01.Arithmetic - Basic 7 questions, 1 mark each Q 01. Rachel bought a bag for 32. What is the selling price of the bag? Ops: A. 825 C. 782
Q 02. The population of a town has increased from 12,000 to 16,000. Find the percentage increase. Ops: A. 33.33% B. 50% C. 45.67& D. 40%
Q 03. If m : n = 6 : 7 and n = 19.6, then what is the value of m? Ops: A. 24.6 B. 16.8 C. 21.4 D. 12.9
Q 04. Jacob spends 8% of his income on transport and 60% of the remaining amount on food. After these expenses, he managed to save 900 B. 1100 D. $1000
Q 05. Incomes of Sophia and Alice are in the ratio of 7 : 9 and each of them saves 1420 B. 1360 D. $1080
Q 06. If the cost price of an item is $840, the mark up is 15% and the discount is 10%, then find the profit percent. Ops: A. 6.2% B. 7% C. 3.5% D. 4.8%
Q 07. The ratio of water and oil in a mixture of 72 litres is 11 : 13 . How many litres of water must be added to the mixture to make the ratio 5 : 4? Ops: A. 22.75 litres B. 19.56 litres C. 15.75 litres D. 14.89 litres
Solution
Sure, here are the answers to the questions:
Q 01. The selling price of the bag is calculated by subtracting the loss from the cost price. So, 32 = 718.
Q 02. The percentage increase is calculated by subtracting the original number from the new number, dividing by the original number and then multiplying by 100. So, (16,000 - 12,000) / 12,000 * 100 = 33.33%. Therefore, the answer is A. 33.33%.
Q 03. If m : n = 6 : 7 and n = 19.6, then m can be found by cross multiplying. So, m = 6 * 19.6 / 7 = 16.8. Therefore, the answer is B. 16.8.
Q 04. If Jacob spends 8% of his income on transport and 60% of the remaining amount on food, then he saves 32% of his income. So, his income is 2070. Therefore, the answer is not in the options provided.
Q 05. If the ratio of Sophia and Alice's incomes is 7 : 9 and the ratio of their expenditures is 2 : 3, then Sophia's income can be found by subtracting her savings from her total expenditure. However, without knowing the total expenditure, this question cannot be answered.
Q 06. If the cost price of an item is 840 * 1.15 * 0.9 = $861. The profit percent is then (861 - 840) / 840 * 100 = 2.5%. Therefore, the answer is not in the options provided.
Q 07. If the ratio of water and oil in a mixture of 72 litres is 11 : 13, then the amount of water is 72 * 11 / 24 = 33 litres. To make the ratio 5 : 4, the amount of water must be 72 * 5 / 9 = 40 litres. Therefore, 7 litres of water must be added. The answer is not in the options provided.
Similar Questions
01. If m : n = 6 : 7 and n = 19.6, then what is the value of m? Ops: A. 12.9 B. 21.4 C. 16.8 D. 24.6 Q 02. The population of a town has increased from 12,000 to 16,000. Find the percentage increase. Ops: A. 50% B. 45.67& C. 40% D. 33.33% Q 03. Rachel bought a bag for $750 and sold it for a loss of $32. What is the selling price of the bag? Ops: A. $825 B. $782 C. $718 D. $850 Q 04. The ratio of water and oil in a mixture of 72 litres is 11 : 13 . How many litres of water must be added to the mixture to make the ratio 5 : 4? Ops: A. 15.75 litres B. 14.89 litres C. 19.56 litres D. 22.75 litres Q 05. Jacob spends 8% of his income on transport and 60% of the remaining amount on food. After these expenses, he managed to save $662.4. His income is: Ops: A. $1000 B. $900 C. $1100 D. $1800 Q 06. If the cost price of an item is $840, the mark up is 15% and the discount is 10%, then find the profit percent. Ops: A. 3.5% B. 4.8% C. 6.2% D. 7% Q 07. Incomes of Sophia and Alice are in the ratio of 7 : 9 and each of them saves $360. Find Sophia's income, if the ratio of their expenditures is 2 : 3? Ops: A. $840 B. $1420 C. $1360 D. $1080
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