Question

8. If the selling price of 16 water bottles is equal to the cost price of 17
gain per cent earned by the dealer.​

Answer 1

Let us assume that the cost price (C.P.) of 1 water bottle is xx.

Then the cost price of 17 water bottles is equal to 17x17x.

It is given that the cost price of 17 water bottles is equal to the selling price (S.P.) of 16 bottles.

C.P. of 17 water bottles = S.P. of 16 water bottles

From the above, we have shown that the cost price of 17 water bottles is equal to 17x17x.

C.P. of 17 water bottles = S.P. of 16 water bottles = 17x17x

From the above,

S.P. of 16 water bottles = 17x17x

∴ S.P. of 1 water bottle = 1716x1716x

We have to find the gain percent which we know the formula for gain percent is:

Gain percent =(S.P. - C.P.)C.P. ×100Gain percent =(S.P. - C.P.)C.P. ×100

The gain percent on 1 bottle is calculated by subtracting C.P. of 1 water bottle from the S.P. of 1 water bottle and then divide this subtraction by C.P. of 1 water bottle and further multiply by 100.

Gain percent =(S.P. - C.P.) of 1 water bottleC.P. of 1 water bottle×100Gain percent =(S.P. - C.P.) of 1 water bottleC.P. of 1 water bottle×100

(S.P. – C.P.) of 1 water bottle=1716x−x=x16=1716x−x=x16.

And C.P. of 1 water bottle = xx

Substituting these values in the gain percent formula we get,

Gain percent =x16x×100⇒Gain percent =116×100=6.25Gain percent =x16x×100⇒Gain percent =116×100=6.25

From the above solution, the gain percent we have calculated is 6.25%6.25%.

Hence, the gain per cent of a dealer is 6.25%6.25%.