ML Aggarwal Solutions Class 8 Mathematics Solutions for Direct and Inverse Variation Exercise 9.3 in Chapter 9 - Direct and Inverse Variation

Question 8 Direct and Inverse Variation Exercise 9.3

A can do a job in 10 days while B can do it in 15 days. If they work together and earn ₹3500, how should they share the money?

Answer:

Given:

A can do a job in = 10 days

A’s 1-day job is = 1/10

B can do a job in 15 days

B’s 1-day job is = 1/15

Both A and B can do a job in one day = 1/10 + 1/15

= (3+2)/30

= 5/30

= 1/6

For 1/6 part of the work the earnings are = ₹3500

For 1 part of work, the earnings are = ₹3500 × 6

For 1/10 part of work earning = ₹ (3500×6)/10 = ₹2100

For 1/15 part of work earning = ₹ (3500×6)/15 = ₹1400

∴ A gets ₹2100 and B gets ₹ 1400

Related Questions

Exercises

Direct and Inverse Variation Exercise 9.1

Direct and Inverse Variation Exercise 9.2

Direct and Inverse Variation Exercise 9.3

Chapters

Rational Numbers

Exponents and Powers

Squares and Square Roots

Cubes and Cube Roots

Playing with Numbers

Operation on sets Venn Diagrams

Percentage

Simple and Compound Interest

Direct and Inverse Variation

Algebraic Expressions and Identities

Factorisation

Understanding Quadrilaterals

Constructions of Quadrilaterals

Circle

Symmetry Reflection and Rotation

Visualising Solid Shapes

Mensuration

Data Handling