a) ₹ 175

b) ₹ 185

c) ₹ 190

d) ₹ 205

correct answer is: a) ₹ 175

#### Explanation

*Here,*

A’s money : B’s money =\;6\;:\;7\;. *Let,* B's money ₹\;‘x’. *According to the question,*

6\;:\;7\;=\;₹\;150\;:\;₹\;x

\rightarrow\large\frac{6}{7}\normalsize=\large\frac{150}{x}

\rightarrow 6x=\left(150\times7\right)

\rightarrow x=\large\frac{\left(150\times7\right)}{6}

\rightarrow x=175

\therefore B’s money is ₹\;175. **Ans:** B’s money is ₹\;175.

###### You can find this math problem in different styles like:

**If the ratio of A’s money to B’s money is 6 : 7 and A has ₹ 150, calculate the amount of B’s money.****When the ratio of A’s money to B’s money is 6 : 7 and A owns ₹ 150, ascertain the value of B’s money.****If A’s money to B’s money is in the ratio of 6 : 7 and A’s amount is ₹ 150, what is the amount of money B has?**