A purse has only one rupee and two rupee coins in it. The number of two rupee coins is one third the number of one rupee coins. If the purse has $R s . 115$ . Find the number of two rupee coins.

20

No worries! We‘ve got your back. Try BYJU‘S free classes today!

23

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

18

No worries! We‘ve got your back. Try BYJU‘S free classes today!

25

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $23$
Let the number of one rupee coins be $3 x$ .
So, the number of two rupee coins be $x .$
Now, value of $3 x$ one rupee coins $=$ Rs. $1 \times 3 x =$ Rs. $3 x$ and
value of $x$ two rupee coins $=$ Rs. $2 \times x =$ Rs. $2 x$
Given, value of coins $=$ Rs. $115$
$\Rightarrow 3 x + 2 x = 115 \Rightarrow 5 x = 115 \Rightarrow x = 23$
Hence, there are $23$ two rupee coins in the purse.

Suggest Corrections

Similar questions

A purse has only one-rupee and two-rupee coins in it. The number of two-rupee coins is one-third the number of one-rupee coins. If the purse has Rs. $115$ , find the number of two-rupee coins.

Q. A purse has only two-rupee and five rupee coins. The sum of the coins is

36

and the total value of the coins is

R s . 84

. Find the number of five-rupee coins.

Q. A purse contains n coins of unknown value, a coin drawn at random is found to be a rupee, what is the chance that it is the only rupee in the purse? Assume all numbers of rupee coins in the purse to be equally likely.

Q. A purse contains four coins each of which is either a rupee or two rupees coin. Find the expected value of a coin in that purse.

Q. Purse

I

contains a one rupee coin and nine 50 paise coins and purse

I I

contains ten 50 paise coins. 9 coins are transferred from purse

I

to purse

I I

and again from purse

I I

to purse

I

randomly. The probability of finding one rupee coin in the purse

I

after these transfers is

Join BYJU'S Learning Program

A purse has only one rupee and two rupee coins in it. The number of two rupee coins is one third the number of one rupee coins. If the purse has Rs. 115. Find the number of two rupee coins.

A purse has only one rupee and two rupee coins in it. The number of two rupee coins is one third the number of one rupee coins. If the purse has $R s . 115$ . Find the number of two rupee coins.