Study the given pie chart and answer the question that follows.

The given chart represents the percentage-wise distribution of the total number of vanilla cakes and chocolate cakes sold on each day of the week. The total number of cakes sold in a week = 10500.

SSC revannath 21-6-2022 F2

The ratio of vanilla cakes sold to chocolate cakes sold on Friday is 4 ∶ 3. If the price of one vanilla cake is Rs.8 and that of one chocolate cake is Rs. 7, then the total amount earned by selling all vanilla cakes and chocolate cakes on Friday is:

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SSC MTS 2020 (Held On : 26 Oct 2021 Shift 3 ) Official Paper 36
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  1. Rs. 7,950
  2. Rs. 7,500
  3. Rs. 8,000
  4. Rs. 6,950

Answer (Detailed Solution Below)

Option 1 : Rs. 7,950
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Detailed Solution

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DAYS Percentage of cakes sold Number of cakes sold
Sunday 20% of 10,500 2100
Monday 8% of 10,500 840
Tuesday 9% of 10,500 945
Wednesday 22% of 10,500 2310
Thursday 15% of 10,500 1575
Friday 10% of 10,500 1050
Saturday 16% of 10,500 1680
 

Ratio of vanilla cake and chocolate cake sold on Friday = 4 ∶ 3

4x + 3x = 1050

⇒ 7x = 1050

⇒ x = 150

Number of vanilla cake sold = 4 × 150

⇒ 600

Number of chocolate cake sold = 3 × 150

⇒ 450

Amount earned on cake sold = 600 × 8 + 450 × 7

⇒ 4800 + 3150

⇒ 7950

∴ The total amount earned by selling all vanilla cakes and chocolate cakes on Friday is Rs.7950

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