Finding Increase or Decrease Percentage in Situations

Q.

The price of sugar is increased by 20%. By what percent must the consumption of sugar be decreased so that the expenditure on sugar may remain the same ?

Q.

If the price of sugar is increased by 25% today. By what percent should it be decreased tomorrow to bring the price back to the original ?

Q.

A dishonest shopkeeper professes to sell pulses at his cost price but uses a false weight of 950 for each kilogram. Find his gain percent.

Q.

The price of petrol goes up by 10$\%$. By how much per cent must a motorist reduce the consumption of petrol so that the expenditure on it remains unchanged ?

Q.

A shopkeeper offers Buy $1$ Get $1$ Free offer on t-shirts marked at $₹2,400$‘. If after a sale, the shopkeeper earns a profit of ’$33.33\%$. Then what is the actual price of the t-shirt?​

Q.

The value of a machine depreciates every year by 20$\%$. If the present value of the machine be Rs. 160000, what was its value last year ?

Q.

The cost of an article is first increased by 20% and then decreased by 30%, find the percentage change in the cost of the article.

Q.

The value of a machine depreciates every year by 5%. If the present value of the machine be Rs. 100000, what will be its value after 2 years?

Q.

If the selling price of 18 oranges is equal to the cost price of 16 oranges, find the loss percent.

Q.

A man spends 35% of his income on food, 25% on childrens education, and 80% of the remaining on house rent. What percent of his income he is left with?

Q.

In an election, the winner obtained 54% of the total votes and defeated his opponent by 320 votes. The number of votes obtained by the winner is ___

Q.

Selling price of a toy car is $Rs540$. If the profit made by shopkeeper is$20\%$, what is the cost price of this toy?

Q.

A tricycle is sold at a gain of $15\%$. Had it been sold for$Rs108$ more the profit would have been$20\%$. Find its cost price.

Q.

A number is increased by 10% and the resulting number is again increased by 20%. What is the overall percentage increase in the number ?

Q.

A number is increased by $20\%$ and the increased number is decreased by $20\%$. Find the increase or decrease percent.

Q.

A number is first increased by $20\%$ and the resulting number is then decreased by $10\%$. Find the overall change in the number as percent.

Q.

A number is first increased by 10$\%$ and then reduced by 10$\%$. The number (a) does not change (b) decreases by 1$\%$ (c) increases by 1$\%$ (d) none of these

Q.

A's income is 25% more than B's. Find, B's income is how much percent less than A's.

Q.

The salary of an officer is increased by 25$\%$. By what per cent should the new salary be decreased to restore the original salary ?

Q.

A number is increased by $40\%$ and then decreased by $40\%$. Find the net increase or decrease percent.

Q. On Sunday, 845 people went to the zoo. On Monday, only 169 people went to the zoo. What is the percent decrease in the number of people visiting the zoo on Monday?

1. 50%
2. 80%
3. 60%
4. 70%

Q.

In an army camp, there was food for 1000 soldiers for one month. After 10 days 1000 more soldiers joined. How long would the remaining food be sufficient for the soldiers?

1. 8 days

2. 10 days

3. 12 days

4. 11 days

Q. A toy was sold at a gain of $12\%$. Had it been sold for Rs. 33 more, the gain would have been $14\%$. Find the cost price of the toy. [3 MARKS]

Q.

A person sells an article for Rs. 550, gaining $\frac{1}{10}$ of its C.P. Find gain percent.

Q. By selling 50 pens, a shopkeeper lost the amount equal to the selling price of 10 pens. Find his loss percentage.

1. 
2. 
3. 
4. None of these

Q.

The cost of an article is first decreased by 25% and then further decreased by 40%. Find the percentage change in the cost of the article.

Q.

If the selling price of $10$ pens is equal to cost price of $14$ pens, find the gain percent.

Q.

(i) A number when increased by 23% becomes 861; find the number. (ii) A number when decreased by 16% becomes 798; find the number.

Q.

During 2003, the production of a factory decreased by 25%. But, during 2004, it (production) increased by 40% of what it was at the beginning of 2004. Calculate the resulting change (increase or decrease) in production during these two years.

Q.

On the eve of Gandhi Jayanti, a saree is sold for Rs. 720 after allowing $20\%$ discount. What is the marked price?