Question

A toy was sold at a gain of 12% Had it been sold for Rs 33 more, the gain would have been 14% Find the C.P of Toy? ​

Answer 1

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Let C.P of toy be Rs x

Gain% = 12%

Gain = 12x/100

S.P = C.P + Gain

= x+ 3x/25

= Rs 28x/25

◆New Gain % = 14%

◆New Gain =14x/100= Rs 7x/50

◆New S.P = x+7x/50 = Rs 57x/50

It is given that difference between New S P and original S.P is Rs 33

◆57x/50 - 28x/25 = 33

◆ 57x-56x/50 = 33

◆ x/50 = 33

◆ x = 33×50

◆ x = 1650

C.P of toy = Rs 1650

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Answer 2

Answer:

Let the cp of the toy =100 rs

If the gain is 12 %then 1sp =100+12=112rs

If he had been sold 33 more gain=14 %

Therefore second SP =100 +14=114 rs

Difference in second SP and first SP=114 - 112=2 rs

So the Cost price =100/2*33=50*33 =1650 rs