Practice30Create account

Anand pays a ₹500 deposit for a bicycle and then clears the rest in 8 equal monthly instalments. The bicycle costs ₹4,900 altogether. How much is each instalment?

Class 7Simple EquationsSimple Equations
  • A₹612.50
  • B₹675
  • C₹550
  • D₹4,400

Step-by-Step Solution

Let each instalment be ₹m. 8m + 500 = 4900 → 8m = 4400 → m = 550. Check: ₹500 + 8 × ₹550 = ₹500 + ₹4,400 = ₹4,900 ✓. ₹612.50 divides the whole price by 8 and ignores the deposit; ₹675 adds the deposit instead of subtracting it; ₹4,400 is the total still owed, not one instalment.
Answer: C) ₹550

Key idea: The balance principle

An equation is like a balance scale: LHS on one pan, RHS on the other, and the scale is level. Whatever you do to one side, you must do to the other to keep it balanced. So if you add 5 to LHS, add 5 to RHS. If you divide LHS by 3, divide RHS by 3.

Goal: isolate the variable on one side. Get by itself by undoing every operation around it, in reverse order, applied to BOTH sides.

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Simple Equations practice questions

More Class 7 Simple Equations practice

Rani claims y = 5 satisfies 12 − 3y = 27, but substituting gives 12 − 15 = −3. Which…Which equation says 'when a number x is subtracted from 45, the result is 18'?For the statement 'a number is increased by 6, and the result is then multiplied by 4 to…Which statement about adding the same number to both sides of an equation is true?Which of these has the same solution as 4x − 7 = 13?