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# 14.Lakshmi is a cashier in a bank. She has currency notes of denominations ₹ 100, ₹ 50 and ₹ 10, respectively. The ratio of these notes is 2 : 3 : 5. The total cash with Lakshmi is ₹ 4,00,000. How many notes of each denomination does she have?

Let the number of ₹ 100, ₹ 50 and ₹10 notes be 2x, 3x and 5x respectively as per the given ratio.
Converting all the denominations into rupees, we have

2x ×100, 3x × 50 and 5x × 10 i.e. 200x, 150x and 50x

As per the conditions given in the question, we have

200x + 150x + 50x = 4,00,000

$$\Rightarrow$$ 400x = 4,00,000

$$\Rightarrow$$ x = 4,00,000 ÷ 400 (transposing 400 to RHS)

$$\Rightarrow$$ x = 1,000

Hence, the required number of notes of

₹ 100 notes = 2×1000 = 2000

₹ 50 notes = 3 × 1000 = 3000

and ₹ 10 notes = 5 ×1000 = 5000