Question 49: If the number B B is 10% less than another number C C and C C is 5% more than 150, then B B is equal to:

 

Question 49:
If the number BB is 10% less than another number CC and CC is 5% more than 150, then BB is equal to:
(a) 157.85 (b) 153.85 (c) 151.75 (d) 141.75

Step 1: Find C

C=150+5% of 150=150+7.5=157.5C = 150 + 5\% \text{ of } 150 = 150 + 7.5 = 157.5

Step 2: Find B (10% less than C)

B=C10% of C=157.515.75=141.75B = C - 10\% \text{ of } C = 157.5 - 15.75 = 141.75

Answer: (d) 141.75

Tip for fast calculation:

  • Quickly find percentages using decimal form:

5% of 150=0.05×150=7.55\% \text{ of 150} = 0.05 \times 150 = 7.5 10% of 157.5=0.1×157.5=15.7510\% \text{ of 157.5} = 0.1 \times 157.5 = 15.75
  • Subtract/add directly to get the final number.

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