There are two pockets A and B. Pocket A contains Rs. 1, 50p and 25p coins and Pocket B contains 50p, 25p and 10p coins. If the ratio of total amount in A and B is 5 : 4 and coins are in the ratio of 2 : 3 : 5 in pocket A and 3 : x : 8 in pocket B. Find the value of x.
Answer & explanation
Correct answer: option 4
Pocket A:
1 Rs. : 50 p : 25 p
No. of coins : 2 : 3 : 5
Value of coins: 2 : 1.5 : 1.25 = 4.75R (total)
Pocket B:
50 p : 25 p : 10 p
No. of coins : 3 : x : 8
Value of coins: 1.5 : \(\frac{x}{4}\) : 0.8 = (2.3 + \(\frac{x}{4}\))R (total)
ATQ,
⇒ \(\frac{4.75}{2.3 + \frac{x}{4}}\) = \(\frac{5}{4}\)
⇒ 12.5 + \(\frac{5}{4}\) x = 19
⇒ \(\frac{5}{4}\) x = 7.5
⇒ x = \(\frac{30}{5}\) = 6