Question

Manavi and Kuber each receives an equal allowance. The table shows the fraction of their allowance each deposits into his/her saving account and the fraction each spends at the mall. If allowance of each is Rs. 1260 find the amount left with each.

Where money goes	Fraction of allowance
	Manavi	Kuber
Saving Account	`1/2`	`1/3`
Spend at mall	`1/4`	`3/5`
Left over	?	?

Answer 1

Let total cost be ₹ 1.

For Manavi,

Left over = Total cost – All spends

= `1 - (1/2 + 1/4)`

= `1 - 3/4`

= `1/4`

∴ Amount = `1260 xx 1/4` = ₹ 315

For Kuber,

Left over = Total cost – All spends

= `1 - (1/3 + 3/5)`

= `1 - 14/15`

= `1/15`

∴ Amount = `1260 xx 1/15` = ₹ 84

Answer 2

Allowance given to Manavi = ₹ 1260

Left over amount of Manavi = Allowance – Saving – Spend at mall

= `1260 - 1/2 xx 1260 - 1/4 xx 1260`

= `1260 (1 - 1/2 - 1/4)`

= `1260 xx ((4 - 2 - 1)/4)`

= `1260 xx ((4 - 3)/4)`

= `1260 xx 1/4`

= ₹ 315

Hence, the amount left with Manavi is ₹ 315.

Allowance given to Kuber = ₹ 1260

Left over amount of Kuber = Allowance – Saving – Spend at mall

= `1260 - 1/3 xx 1260 - 3/5 xx 1260`

= `1260 (1 - 1/3 - 3/5)`

= `1260((15 - 5 - 9)/15)`

= `1260((15 - 14)/15)`

= `1260 xx 1/15`

= ₹ 84

Hence, the amount left with Kuber is ₹ 84.