**2 **Find the population of a city after 2 years, which is at present 12 lakh, if the rate of increase is 4%.

Current population of city
= 12 lakh
1200000
Population after two years =
Thus, the population after two years is 1297920.

**1 **A machinery worth Rs. 10,500 depreciated by 5%. Find its value after one year.

Price of machinery = Rs. 10,500
Value after one year = Rs 10,500- Rs 525 = Rs 9975

Find the amount to be paid

2. At the end of 1 year on Rs. 1800 at 8% per annum compounded quarterly.

Find the amount to be paid

1. At the end of 2 years on Rs. 2,400 at 5% per annum compounded annually.

Find the time period and rate for each.

2. A sum taken for 2 years at 4% per annum compounded half yearly.

Since the sum taken is compounded half yearly:
Time period = 4 half years.
Rate = 2% per half year

Find the time period and rate for each.

1. A sum taken for years at 8% per annum is compounded half yearly.

Since the sum taken is compounded half yearly:
Time period = 3 half years
Rate = 4% per half year

**Q **Find interest and amount to be paid on Rs 15000 at 5% per annum after 2 years.

**Q: 2 **By what percent is Rs 2,000 less than Rs 2,400? Is it the same as the percent by which Rs 2,400 is more than Rs 2,000?

Difference between Rs 2400 and Rs 2000 = Rs 2400- Rs 2000 = Rs 400
The per cent by which Rs 2,000 is less than Rs 2,400 is
(Less with respect to 2400. Hence, 2400 will be in the denominator!)
Rs 2000 is less than Rs 2400 by 16.66%
Now,
The per cent by which Rs 2,400 is more than Rs 2,000 is
(More with respect to 2000. Hence, 2000 will be in the denominator!)
Rs 2400 is more...

**1 **Two times a number is a 100% increase in the number. If we take half the number what would be the decrease in percent?

Let the number be x.
Half the number =
= 50 %
Therefore, If we take half the number, the decrease in percent is 50%

**1 **A shopkeeper bought two TV sets at Rs 10,000 each He sold one at a profit of 10% and the other at a loss of 10%. Find whether he made an overall profit or loss.

Net profit = Rs 1000 - Rs 1000 = 0
He neither made an overall profit or loss since the profit made on the first tv equals the loss suffered on the second one.

**1 **Find selling price (SP) if a profit of 5% is made on

(c) a fan bought at Rs 560 and expenses of Rs 40 made on its repairs.

We know, Cost price = Buying price + Overhead expenses
Cost price = Rs 560 + Rs 40 = Rs 600
Profit percent = 5%
Profit = Rs 30
Now, Selling price (SP) = Cost price + Profit =Rs 600 + Rs 30 = Rs 630
Therefore, the selling price (SP) is Rs 630

**1. **Find selling price (SP) if a profit of 5% is made on

(b) a lawn mower bought at Rs 1150 with Rs 50 as transportation charges.

If a profit of 5% is made on a lawnmower bought at Rs 1150 with Rs 50 as transportation charges then selling price is:

**1 **Find selling price (SP) if a profit of 5% is made on

(a) A cycle of Rs 700 with Rs 50 as overhead charges.

We know, Cost price = Buying price + Overhead expenses
Cost price = Rs 700 + Rs 50 = Rs 750
Profit percent = 5%
We know,
Profit = Rs 37.5
Now, Selling price (SP) = Cost price + Profit =Rs 750 + Rs 37.5 = Rs 787.50
Therefore, the selling price (SP) is Rs 787.50

**3 **An almirah is sold at Rs 5,225 after allowing a discount of 5%. Find its marked price.

**2. **A table market marked ar Rs 15,000 is available for Rs 14,400. Find the discount given and the discount per cent.

Marked price = Rs 15000
Selling Price = Rs 14400
We know, Discount amount = Marked price - Selling price
Discount amount = Rs 15000-Rs 14400 = Rs 600
Therefore, Discount percentage = 4%

**1 **A shop gives 20% discount. What would the sale price of each of these be?

(c) A bag marked at Rs 250

Marked price of bag = Rs 250
Discount rate=20%
Selling price = Marked price - Total discount = Rs (250- 50) = Rs 200.

**1 **A shop gives 20% discount. What would the sale price of each of these be?

(b) A pair of shoes marked at Rs 750

Marked price of shoes=Rs 750
Discount rate = 20%
Selling price= Marked price- Total discount =Rs (750- 150) = Rs 600.

**1 **A shop gives 20% discount. What would the sale price of each of these be?

(a) A dress marked at Rs 120.

Marked price of dress = Rs120
Discount rate = 20%
Selling price (SP) = Marked price - Total discount = Rs (120- 24) = Rs 96.

In a primary school, the parents were asked about the number of hours they spend per day in helping their children to do homework.There were 90 parents who helped for hour

to hours. The distribution of parents according to the time for which they said they helped is given in the adjoining figure; 20% helped for more than hours; 30% helped for hour to hours; 50 % did not help at all.

Using this, answer the following :

(iii) How many said that they helped for more than hours?

from the first question number of parents surveyed X = 300
Given, 20% helped for more than hours.
Therefore, number of such parents = 20% of 300 = 2 x 30 = 60.

In a primary school the parents were asked about the number of hours they spend per day in helping their children to do homework. There were 90 parents who helped for to hours. The distribution of parents according to the time for which they said they helped is given in the adjoining figure; 20% helped for more than hours; 30% helped for hour to hours; 50% did not help at all.

Using this, answer the following :

(ii) How many said that they did not help?

from the previous question number of parents surveyed X = 300.
Given, 50% did not help.
Therefore, number of parents that did not help = 50% of 300 = 150.

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