Question

On decreasing the price of mobiles by 22% ,the sales is increased by 12%. What is theeffect on money received by the trader​

Answer 1

Answer:

If he had decreased price of mobile 22% and gained profit 12% then it's a loss

Answer 2

The money received by the trader is decreased by 12.64%

Given :

On decreasing the price of mobiles by 22% ,the sales is increased by 12%.

To find :

The effect on money received by the trader

Solution :

Step 1 of 2 :

Calculate increase or decrease on money received by the trader

Let initially the price of mobiles was Rs. 100p and the sales was Rs. 100x

∴ Initially money received by the trader

= Rs. (100p × 100x)

= Rs. 10000px

After decreasing the price of mobiles by 22% the price of mobiles becomes Rs. 78p

Also after increasing the sales by 12% the sales becomes Rs. 112x

∴ Now The money received by the trader

= Rs. (78p × 112x)

= Rs. 8736px

Since 10000px > 8736px

So there is decrease on money received by the trader

Step 2 of 2 :

Calculate the percentage of decrease on money received by the trader

∴ Amount of decrease in money received by the trader

= Rs. (10000px - 8736px)

= Rs. 1264px

Hence the percentage of decrease on money received by the trader

$\displaystyle \sf = \frac{1264px}{10000px} \times 100\%$

$\displaystyle \sf = \frac{1264}{10000} \times 100\%$

$\displaystyle \sf = \frac{1264}{100} \%$

$\displaystyle \sf = 12.64\%$

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