If Rs 2574 is divided in the ratio of 3:8:10:12 among A, B, C and D respectively, what will be the share of D?

Options

A. Rs. 966
B. Rs. 936
C. Rs. 933
D. Rs. 999

Answer

To solve the problem of dividing Rs 2574 in the ratio of 3:8:10:12 among A, B, C, and D, we can follow these steps:

### Step 1: Understand the ratio
The ratio given is 3:8:10:12. This means that for every 3 parts A gets, B gets 8 parts, C gets 10 parts, and D gets 12 parts.

### Step 2: Calculate the total parts of the ratio
To find the total number of parts in the ratio, we add all the parts together:
\[ 3 + 8 + 10 + 12 = 33 \]
So, the total parts = 33.

### Step 3: Determine the value of one part
Now, we need to find the value of one part. We do this by dividing the total amount (Rs 2574) by the total number of parts (33):
\[ \text{Value of one part} = \frac{2574}{33} \]
Calculating this gives:
\[ \text{Value of one part} = 78 \]

### Step 4: Calculate D's share
D's share corresponds to the 12 parts in the ratio. To find D's share, we multiply the value of one part by the number of parts D receives:
\[ \text{D's share} = 12 \times 78 \]
Calculating this gives:
\[ \text{D's share} = 936 \]

### Final Answer
Thus, the share of D is Rs 936.

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