Question

Reena gave 20% of the money. she had to rita spent 25% of the money received on school fee, 40% on buying books. If she is left with rs 1680, how much money reena has initially? ​

Answer 1

If Rita was left with rs 1680 after spending 25% on school fee and 40% on buying books out, then Reena initially has Rs. 24000.

Step-by-step explanation:

Let the initially Reena had Rs. “x”.

It is given that,

Reena gave 20% of the money to Rita i.e., Rita has = Rs. $\frac{20}{100}$x

Rita had spent 25% & 40 % of the amount Reena gave her on school fee and on buying books respectively.

After spending Rita is left with Rs. 1680

Therefore, we can write the equation as,

$\frac{20}{100}$*x = [$\frac{25}{100}$ * ($\frac{20x}{100}$)] + [$\frac{40}{100}$ * ($\frac{20x}{100}$)] + 1680

⇒ 0.2x = 0.05x + 0.08x + 1680

⇒ 0.2x – 0.13x = 1680

⇒ 0.07x = 1680

⇒ x = Rs. 24000

Thus, Reena initially has Rs. 24000.

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