Question

A bag contains 50 P, 25 P and 10 P coins in the ratio 5: 9: 4, amounting to Rs. 206. Find the number of coins of each type respectively.

• A. 360, 160, 200
• B. 160, 360, 200
• C. 200, 360,160
• D. 200,160,300

Answer 1

The Correct Option is C

Let the number of 50 P, 25 P, and 10 P coins be 5x, 9x, and 4x, respectively, based on the given ratio of 5:9:4. 

The total amount in the bag is Rs. 206, which is equal to 20600 P. Therefore, we can write the equation for the total value of coins:

50 × 5x + 25 × 9x + 10 × 4x = 20600

Simplifying:

250x + 225x + 40x = 20600 ⇒ 515x = 20600 ⇒ x = 40

So, the number of 50 P coins is 5 × 40 = 200, the number of 25 P coins is 9 × 40 = 360, and the number of 10 P coins is 4 × 40 = 160.