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Gyaan Maths
CBSE · Class 6-10
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CBSE Maths · Class 6

Chapter 12: Ratio and Proportion

Name: ________________________
Date: ______________
Marks: ____ / 10

Concepts of ratio and proportion; unitary method.

Questions

  1. Simplify 45:6045:60.
  2. Are 3,5,12,203, 5, 12, 20 in proportion?
  3. If 66 pens cost \rupee90\rupee 90, cost of 1010 pens?
  4. Simplify the ratio 18:2418:24.
  5. If 55 pens cost ₹4040, cost of 99 pens?
  6. Are ratios 2:32:3 and 8:128:12 in proportion?
  7. Divide ₹120120 in ratio 2:32:3.
  8. Ratio of 3030 minutes to 22 hours.
  9. 5:7::15:x5:7 :: 15:x; find xx.
  10. If 88 notebooks cost ₹9696, cost of 1515 notebooks?

Extra Practice (Optional)

  • Divide \rupee750\rupee 750 in ratio 2:32:3.
  • Find xx if 3:5::x:203:5 :: x:20.
  • Mean proportional between 1616 and 2525.

Answer Key (For Teachers)

  1. Answer: 3:43:4.
    Working: HCF =15= 15.
  2. Answer: Yes.
    Working: 3⋅20=60,  5⋅12=603\cdot 20 = 60,\; 5\cdot 12 = 60.
  3. Answer: \rupee150\rupee 150.
    Working: Per pen =15= 15; 10×1510 \times 15.
  4. Answer: 3:43:4
    Working: HCF =6= 6; 18/6:24/6=3:418/6 : 24/6 = 3 : 4.
  5. Answer: ₹7272
    Working: 11 pen =₹8= ₹8; 9×89\times 8.
  6. Answer: Yes.
    Working: Cross product: 2×12=242\times 12 = 24, 3×8=243\times 8 = 24.
  7. Answer: ₹4848 and ₹7272
    Working: Total parts 55; each part =24= 24. 2×24:3×242\times 24 : 3\times 24.
  8. Answer: 1:41:4
    Working: Convert: 3030 min : 120120 min =1:4= 1:4.
  9. Answer: x=21x = 21
    Working: Cross product: 5x=1055x = 105.
  10. Answer: ₹180180
    Working: Unit cost =₹12= ₹12; 15×1215\times 12.
Gyaan Maths · CBSE Class 6 · Chapter 12
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026