Question 69

₹8,000 is distributed among A, B and C suchthat they receive notes of ₹500, ₹200 and ₹100 respectively. The amounts received by them arein the ratio 15 : 2 : 3. What was the ratio of the number of notes of ₹500, ₹200 and ₹100?

Solution

Let A, B and C recieve 15x, 2x and 3x respectively

According to the question,

15x + 2x + 3x = 8000

20x = 8000

x = 400

Amount received by A, B and C = Rs 6000, Rs 800 and Rs 1200 respectively

Number of notes recieved by$$ A = \frac{6000}{500}=12$$

Number of notes recieved by$$ B = \frac{800}{200}=4$$

Number of notes recieved by $$C = \frac{1200}{100}=12$$

Required ratio = 12 : 4 : 12 = 3 : 1 : 3

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