In a box, there are 10p, 25p and 50p coins in the ratio 4:9:5 with the total sum of Rs 206. How many coins of each kind does the box have?

**(A)** 200, 360, 160

**(B)** 135, 250, 150

**(C)** 90, 60, 110

**(D)** Cannot be determined

**Answer:** **(A)** **Explanation:** Let the number of 10p, 25p, 50p coins be 4x, 9x, 5x respectively. Then,

4x/10 + 9x/4 + 5x/2 = 206 (Since, 10p = Rs 0.1, 25p = Rs 0.25, 50p = Rs 0.5)

=> 8x + 45x + 50x = 4120 (Multiplying both sides by 20 which is the LCM of 10, 4, 2)

=> 103x = 4120

=> x = 40.

Therefore,

No. of 10p coins = 4 x 40 = 160 (= Rs 16)

No. of 25p coins = 9 x 40 = 360 (= Rs 90)

No. of 50p coins = 5 x 40 = 200 (= Rs 100)

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