In a box, there are 10p, 25p and 50p coins in the ratio 4:9:5 with the total…
2023
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
Attempted by 14 students.
Show answer & explanation
Correct answer: D
Answer: The box contains 160 ten‑paise coins, 360 twenty‑five‑paise coins, and 200 fifty‑paise coins.
Explanation:
Let the numbers of 10p, 25p and 50p coins be 4x, 9x and 5x respectively.
Work in paise to avoid decimals. Total value is Rs 206 = 20600 paise.
Equation in paise: 10(4x) + 25(9x) + 50(5x) = 20600
Simplify: 40x + 225x + 250x = 20600, so 515x = 20600, hence x = 40.
Number of 10p coins = 4 × 40 = 160
Number of 25p coins = 9 × 40 = 360
Number of 50p coins = 5 × 40 = 200
Check: 160×10 + 360×25 + 200×50 = 1600 + 9000 + 10000 = 20600 paise = Rs 206.