Question

14) If 10% of the sale price of an article is equal to 12% of its cost and 16% of the sale
price exceeds 18% of cost by Rs. 6, what were the sale and cost prices ?
(Ans. Rs. 600 : Rs. 500]
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Answer 1

Answer:

GIVEN THAT 10%S.P=12%C.P

I.E 10/100S.P=12/100C.P

5S.P = 6C.P..........(1)

GIVEN THAT 16%S.P=18%C.P+6

I.e 16SP - 18CP = 600,......(2)

FROM (1).. C.P = 5/6S.P

SUBSTITUTE IN (2)...

THEN 16SP - 18×5/6S.P = 600

..,..............I.E 16S.P - 15SP = 600

S.P = 600,.......(3)

FROM (1)&(3)..C.P = 500