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A pouch contains 50 Paisa, 25 Paisa and 10 Paisa coins in the ratio 18 : 12 : 10, amounting to ₹130. Find the number of 10 Paisa coins.​
Question

A pouch contains 50 Paisa, 25 Paisa and 10 Paisa coins in the ratio 18 : 12 : 10, amounting to ₹130. Find the number of 10 Paisa coins.​

A.

149

B.

184

C.

100

D.

180

Correct option is C

Given:

The ratio of 50 Paisa, 25 Paisa, and 10 Paisa coins = 18 : 12 : 10

Total amount = ₹130 = 130 × 100 = 13000 Paisa

Solution:

Let the number of 50 Paisa coins be 18x

the number of 25 Paisa coins be 12x,

and the number of 10 Paisa coins be 10x

Now, 

(50×18x)+(25×12x)+(10×10x)(50 \times 18x) + (25 \times 12x) + (10 \times 10x) ​= 13000

900x + 300x + 100x = 13000

1300x = 13000

x = 130001300\frac{13000}{1300}​ = 10

Now, the number of 10 Paisa coins = 10x = 10 × 10 = 100

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