For every question, four probable answers as (A), (B), (C) and (D) are given. Only one out of these is correct. Choose the correct answer.
If the number B is 10% less than another number C and C is 5% more than 150, then B is equal to:

Options

A. 157.85
B. 153.85
C. 151.75
D. 141.75

Answer

To solve the problem step by step, we will first determine the value of C and then find the value of B based on the relationship given in the question.

### Step 1: Calculate the value of C
We know that C is 5% more than 150.

To find C:
1. Calculate 5% of 150:
\[ 5\% \text{ of } 150 = \frac{5}{100} \times 150 = \frac{750}{100} = 7.5 \]
2. Add this value to 150 to find C:
\[ C = 150 + 7.5 = 157.5 \]

### Step 2: Calculate the value of B
We know that B is 10% less than C.

To find B:
1. Calculate 10% of C (which we found to be 157.5):
\[ 10\% \text{ of } 157.5 = \frac{10}{100} \times 157.5 = \frac{1575}{100} = 15.75 \]
2. Subtract this value from C to find B:
\[ B = 157.5 - 15.75 = 141.75 \]

Thus, the value of B is **141.75**.

### Final Answer
B is equal to **141.75**.

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