Exercise 11.3

1. A bag of 25 marbles is shared between Rahul and Kiran in the ratio 2: 3

The total number of marbles =

The ratio between Rahul and Kiran = :

Sum of the ratio parts = 2 + 3 =

(i) How many marbles does Kiran receive?

Kiran's share = 35 × 25 =

Kiran receives marbles

(ii) How many marbles does Rahul receive?

Rahul's share = 25 × 25 =

Rahul receives marbles

2. A point X on AB = 14 cm divides it in the ratio 3 : 4.Find the length of AX and XB.

The total length of AB = cm

The ratio in which X divides AB = :

Sum of the ratio parts = 3 + 4 =

AX = 37 × 14 = cm

XB = 37 × 14 = cm

3.Geetha and Laxmi won ₹ 1050 in a game. They agreed to share the amount in the ratio of 3:4. How much does each person receive?

Sum of the ratio parts = 3 + 4 =

Geetha's share = 37 × 1050 =

Laxmi's share = 47 × 1050 =

4. Divide ₹3600 between Satya and Vishnu in the ratio of 3:5.

Satya and vishnu will share ₹3600 in the ratio 3:5.

Sum of ratio parts = 3 + 5 =

Satya's share = 38 × 3600 =

Vishnu's share = 58 × 3600 =

Satya receives = ₹

Vishnu receives = ₹

5. Two numbers are in the ratio 5:6. If the sum of the numbers is 132, find the two numbers.

Let the two numbers be 5x and 6x.

Form an equation 5x + 6x =

Solve for x = 11x =

x = 13211 =

First number = 5 × 12 =

Second number = 6 × 12 =

The two numbers are 60 and 72.

6. Estimate the ratio in which X divides AB and then check your estimation by measuring it.

Look at the placement of X on AB.

If X is closer to AB, the ratio may be 1:2 or similar.

If X is near the middleend, the ratio could be 1:1.

Measure AX and XB and assume that we get AX =4 cm and XB = 6 cm

Ratio = AXXB

The ratio would be : or :

7. The income and savings of an employee are in the ratio 11:2. If his expenditure is ₹5346,then find his income and savings.

Income = x , savings = x

Expenditure = Income - Savings

Expenditure = ₹

Income - Savings = 5346

x - x = 5346

x = 5346

x =

Now,calculating income and savings

Income = 11x = 11 × = ₹

Savings = 2x = 2 × = ₹