In a bag, there are three types of coins – 1 rupee, 50 paise and 25 paise in the ratio 3 : 8 : 20. Their total value is Rs. 372. Find the total number of 50 paise coins?
A) 260
B) 248
C) 93
D) 620
Answers
Answer:
248 coins
Step-by-step explanation:
Given
the ratio of no. of coins of Rs 1 . 50ps, 25ps = 3:8:20
Let no of 1 rs coin be 3x
no.of 50ps coin be 8x
and no of 25ps coins be 20x
total value of Rs1 = 1×3x = 3x
total value of 50ps = 50× 8x ps = (50×8x)/100 rupees = 4x
total value of 25ps = 25×20ps = (25×20)/100 rs = 5x
total amount = 3x +4x +5x
which must be equal to 372
3x+4x+5x = 372
12x = 372
Thus x = 31
no.of 1 Rs coin = 3x = 3×31 = 93
no.of 50ps coins = 8x = 8×31 = 248
no.of 25ps coins = 20x = 20×31 = 620
Answer:
In a bag, there are three types of coins – 1 rupee, 50 paise and 25 paise in the ratio 3 : 8 : 20. Their total value is Rs. 372.
Then the total number of 50 paise coins = 248
Step-by-step explanation:
Let say 50 Paise coins = 8x
Then 1 ruppe coins = 3x
25 Paise coins = 20x
Value of 1 Rs coins = 3x Rs
Value of 50 paise coins = (50/100)8x = 4x Rs
Value of 25 Paose coins = (25/100)20x = 5x Rs
Total value = 3x + 4x + 5x = 12x Rs
12x = 372
=> x = 31
50 paise coins = 8x = 8 *31 = 248
option B is correct