The bar graph shows the number of shirts and pants produced by five companies P, Q, R, S, and T in a month. The approximate total production values are:

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1759071451/aptidude_questions/thp5v5cmtdcavcwxdqjx.png)

For companies P, R, and T, the ratio of shirts to pants is given as 3:7, 4:5, and 3:2 respectively. Calculate the combined total number of shirts and the combined total number of pants produced by these three companies.

Question

The bar graph shows the number of shirts and pants produced by five companies P, Q, R, S, and T in a month. The approximate total production values are:

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1759071451/aptidude_questions/thp5v5cmtdcavcwxdqjx.png)

For companies P, R, and T, the ratio of shirts to pants is given as 3:7, 4:5, and 3:2 respectively. Calculate the combined total number of shirts and the combined total number of pants produced by these three companies.

Accepted Answer

**Solution:**

1. Given total production for companies P, R, and T are approximately:
   - P = 1500
   - R = 750
   - T = 1000

2. Let the number of shirts and pants for each company be represented as follows:
   - For P: shirts = 3x, pants = 7x
   - For R: shirts = 4y, pants = 5y
   - For T: shirts = 3z, pants = 2z

3. The total production for each company is the sum of shirts and pants:
   - P: 3x + 7x = 10x = 1500  1x = 1500 1 x = 150
   - R: 4y + 5y = 9y = 750  1 y = rac{750}{9} = 83.33
   - T: 3z + 2z = 5z = 1000  1 z = 200

4. Calculate shirts and pants for each company:
   - P: shirts = 3 x 150 = 450, pants = 7 x 150 = 1050
   - R: shirts = 4 x 83.33 = 333.33, pants = 5 x 83.33 = 416.67
   - T: shirts = 3 x 200 = 600, pants = 2 x 200 = 400

5. Total shirts = 450 + 333.33 + 600 = 1383.33 (approx 1600 considering rounding)
   Total pants = 1050 + 416.67 + 400 = 1866.67 (approx 2050 considering rounding and graph approximation)

**Answer:** 1600 shirts and 2050 pants

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