Question

Dolma took a loan from a friend to buy a moped for Rs 9,588. She has to pay it back in equal amounts every month for six months.
• How much will she have to pay every month? She asked her children to calculate.

$$\begin{gathered} \mathrm{Her}\mathrm{daughter}\mathrm{did}\mathrm{it}\mathrm{this}\mathrm{way}. \\ 500+500+500+90+8 \\ \mathbf{6}\overline{)9588} \\ -3000 \\ \overline{6588} \\ -3000 \\ \overline{3588} \\ -3000 \\ \overline{588} \\ -540 \\ \overline{48} \\ -48 \\ \overline{\underline{\times }} \end{gathered}$$ $$\begin{gathered} \mathrm{Her}\mathrm{son}\mathrm{started}\mathrm{this}\mathrm{way}.\mathrm{Now}\mathrm{you}\mathrm{complete}\mathrm{it}. \\ 1000+ \\ \mathbf{6}\overline{)9588} \\ -6000 \\ \overline{} \\ \underline{} \\ \underline{} \\ \underline{} \\ \underline{} \end{gathered}$$

Will both of them get the same answer? Discuss.

Answer 1

The method followed by Dolma's son is given below.



Answer calculated by her daughter = 500 + 500 + 500 + 90+ 8
= 1598
Answer calculated by her son = 1000 + 500 + 90 + 8
= 1598
So, both the children get the same answer.
Thus, Dolma has to pay Rs 1,598 every month for 6 months to her friend.