Question

A merchand bought two calculators which together cost him 4800.He sold one of them at a loss of 15% and other at a gain of 19% . If the selling price of both the calculator is equal find the cost price of the lower priced calculator.

Answer 1

Let S.P. = a

C.P. of 1st calculator= a x 100/( 100 - 15 ) = a x 100/85 = 20a/17

C.P. of 2nd calculator = a x 100/( 100 + 19 ) = a x 100/119 = 100a/119

a/q

20a/17 + 100a/119 = 4800

240a/119 = 4800

a = 2380

C.P. Of 1st cal. = 20 x 2380/17 = 2800

C.P. of 2nd cal. = 4800 - 2800 = 2000

C.P. of lower priced calculator = Rs. 2000

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Answer 2

Let Sp=a

CP of 1 it calculator $=a\times 100/(100-15)$

$=a\times \frac{100}{85}$

$=\frac{20a}{119}$

CP of a 2nd calculator $=a\times 100/(100+19)$

$=a\times \frac{100}{119}$

$=\frac{100a}{119}$

According to question,

$20a/17+100a/119=4800$

$240a/119=4800$

$a=2380$

CP of 1st calculator =$20\times 2380/18=2800$

CP of 2nd calculator =$4800-2800=2000$

The CP of lower price calculator $=Rs 2000$

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