Question Details

The pie chart shows the total number of (sold and unsold) goods by four companies (A, B, C & D). The table shows the items sold out of total good manufactured by these companies.

Companies Goods sold out of total goods manufactured
A 90%
B 80%
C 75%
D 4X%

The Goods sold by B are at the rate of 5 Rs each. If he gets the profit of 25%, then find the cost price of all the goods (in Rs).

Options

A

148

B

96

C

106

D

132

E

80

Show Answer

Correct Answer :

Option B

96

96

Solution :

The correct answer is 96.

Step-by-Step Explanation:

Step 1: Extract data from the given pie chart and table.
![Image](file://C:\Users\chira\Desktop\Crey\.tmp-images\crey-ai-FMy3hx\image_0.png)
From the pie chart titled "Total goods manufactured = 200", we observe:
• Total goods manufactured by all four companies combined = 200
• Percentage share of Company B (represented by the orange sector) = 15%
From the given table, the percentage of goods sold out of total manufactured by Company B = 80%.

Step 2: Calculate total goods manufactured by Company B.

Goods manufactured by B = 15 % of 200

Goods manufactured by B = 15 100 × 200 = 30

Step 3: Calculate the number of goods sold by Company B.

Goods sold by B = 80 % of 30

Goods sold by B = 80 100 × 30 = 24

Step 4: Calculate the total Selling Price (SP) of the goods sold by Company B.
Given that the goods sold by B are at the rate of Rs. 5 each:

Total Selling Price (SP) = 24 × 5 = Rs. 120

Step 5: Calculate the Cost Price (CP) of all the goods.
Company B earns a profit of 25%. Using the formula for Selling Price in terms of Cost Price and Profit percentage:

SP = CP × 1 + Profit % 100

Substitute the known values into the equation:

120 = CP × 1 + 25 100

120 = CP × 1.25

CP = 120 1.25 = 96

Therefore, the cost price of all the goods is Rs. 96.

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