If 12 members family spend Rs. 850 in 10 days. Then a family of 8 people will spend Rs. 340 in how many days.

If 12 members family spend Rs. 850 in 10 days. Then a family of 8 people will spend Rs. 340 in how many days.

Explanation
Given:
  • 12 people → Rs. 850 in 10 days

  • 8 people → Rs. 340 in ? days

Let the required number of days be x.

Use the formula for compound proportion:

850=8×x/340

Step 2: Solve the equation

850=8x/340

Cross-multiply:


120 times 340 = 850 times 8x Rightarrow 40800 = 6800x Rightarrow x = frac{40800}{6800} = 6
6800=6