Due to a 25% hike in the price of rice per kilogram, a person is able to purchase 5 kg less for ₹200. Find the increased price of rice per kilogram.

A fraction is such that if the double of the numerator and the triple of the denominator is changed by +10% and −30% respectively then we get 33% of 16/21. Find the fraction.

After receiving two successive hikes, Karun’s salary became equal to 15/8 times of his initial salary. By how much percent was the salary raised the first time if the second raise was twice as high (in percent) as the first?

After three successive equal percentage rise in the salary the sum of 1000 rupees turned into 1331 rupees. Find the percentage rise in the salary.

Sudhir, a very clever businessman, started off a business with very little capital. In the first year, he earned a profit of 50% and donated 50% of the total capital (initial capital + profit) to a charitable organisation. The same course was followed in the 2nd and 3rd years also. If at the end of three years, he is left with ₹33,750, then find the amount donated by him at the end of the 2nd year.

In an examination, 48% students failed in Physics and 32% students failed in Chemistry, 20% students failed in both the subjects. If the number of students who passed the examination was 880 (by passing both the subjects), how many students appeared in the examination if the examination consisted only of these two subjects?

A machine depreciates in value each year at the rate of 10% of its previous value. However, every second year there is some maintenance work so that in that particular year, depreciation is only 5% of its previous value. If at the end of the fourth year, the value of the machine stands at ₹1,46,205, then find the value of machine at the start of the first year.

Kaku’s project report consists of 25 pages each of 60 lines with 75 characters on each line. In case the number of lines is reduced to 55 but the number of characters is increased to 90 per lines, what is the percentage change in the number of pages. (Assume the number of pages to be a whole number.)

The price of soap is collectively decided by five factors: raw materials, research, labour, advertisements and transportation. Assume that the functional relationship is

Price of soap = (K × Raw material costs × Research costs × Labour costs × Advertising cost × Transportation cost).

If there are respective changes of 20%, 20%, −20%, 25% and 10% in the five factors, then find the percentage change in the price of soap.

The ratio of Jim’s salary for October to his salary for November was 9 : 8 and the ratio of the salary for November to that for December was 3 : 4. The worker got 40 rupees more for December than for October and received a bonus constituting 40 per cent of the salary for three months. Find the bonus. (Assume that the number of workdays is the same in every month.)