Mathematics

The ratio of Faheem's salary to Imran's salary to Naveed's salary is calculated by dividing each salary by the greatest common divisor. The salaries are 80,000, 70,000, and 50,000 rupees respectively. Dividing each by 10,000 gives 8:7:5, which matches option B.

Given AB = 5 cm, AC = 3 cm, so CB = 2 cm. Increasing AC by 6% means AC_new = 3 × 1.06 = 3.18 cm. Since AB is fixed, CB_new = 5 - 3.18 = 1.82 cm. The decrease in CB is 2 - 1.82 = 0.18 cm. The percentage decrease in CB is (0.18 / 2) × 100% = 9%. Therefore, the correct answer is 9%, which corresponds to option D.

When the length of a rectangle is increased by 40% and the width is decreased by 20%, the new area is calculated by multiplying the new length factor and the new width factor: (1 + 0.40) × (1 - 0.20) = 1.40 × 0.80 = 1.12. This means the new area is 1.12 times the original area, which corresponds to a 12% increase in area. Therefore, the correct answer is that the area has increased by 12%.

If the cost price (C.P) of 15 books equals the selling price (S.P) of 18 books, then the selling price of one book is (C.P of 15 books) / 18. The cost price of one book is (C.P of 15 books) / 15. Comparing these, the selling price per book is less than the cost price per book, indicating a loss. Calculating the loss percentage: Loss% = [(C.P - S.P) / C.P] × 100 = [(15/15 - 15/18) / (15/15)] × 100 = (1 - 5/6) × 100 = (1/6) × 100 = 16 2/3% loss. However, since the selling price per book is less than the cost price, the loss is 16 2/3%. The correct answer is A.

Let the cost of the book sold at a loss be x. Then the other book costs 480 - x. Both are sold at the same price. The selling price of the first book is x - 15% of x = 0.85x. The selling price of the second book is (480 - x) + 19% of (480 - x) = 1.19(480 - x). Equating the selling prices: 0.85x = 1.19(480 - x). Solving gives x = Rs.140.

Given 60% employees are men, and 40% of men earn more than Rs. 50,000, so men earning >50,000 = 0.6 * 0.4 = 24%. Total employees earning >50,000 is 36%, so women earning >50,000 = 36% - 24% = 12%. Since women are 40% of employees, women earning less than Rs. 50,000 = 40% - 12% = 28%, which is 70% of women (28%/40% = 0.7 or 70%). Therefore, 70% of women earn less than Rs. 50,000 per year.

The plant depreciates by 10% annually, so after 1 year its value is 100000 × 0.9 = 90000. After 2 years, it is 90000 × 0.9 = 81000. Hence, the value after 2 years is Rs. 81000.

Let the original price be Rs. x per kg. At original price, quantity bought = 385/x kg. After 20% reduction, price = 0.8x, quantity bought = 385/0.8x = 385/(0.8x) kg. The increase in quantity = 385/(0.8x) - 385/x = 3.5 kg. Solving gives x = Rs. 25 per kg.

The gain is equal to the selling price of 30 mangoes when selling 150 mangoes. Gain percent = (Gain / Cost Price) × 100. Cost price of 150 mangoes = Selling price of 150 mangoes - Gain = Selling price of 150 mangoes - Selling price of 30 mangoes = Selling price of 120 mangoes. Therefore, gain percent = (30 / 120) × 100 = 25%.

The total votes cast are 1136 + 7636 + 11628 = 20400. The winning candidate received 11628 votes. The percentage of total votes received by the winning candidate is (11628 / 20400) × 100 ≈ 57%. Since 57% is not among the given options (11.6%, 60%, 76.4%), the correct choice is 'None of these'.