Model 1 Basic Concepts of C.P and S.P Section-Wise Topic Notes With Detailed Explanation And Example Questions

Answer: (d)

Let the S.P. of the bedsheet be Rs. x.

$450 + {10 × x}/100 = x$

$x - x/10 = 450$

${9x}/10 = 450$

$x = {450 × 10}/9$ = Rs.500

Using Rule 1,

C.P. = Rs. 450,

Profit = ${10\text"S.P."}/100 = \text"S.P."/10$

Profit = S.P. - C.P.

$\text"S.P."/10$ = S.P. - 450

450 = S.P. - $\text"S.P."/10$

S.P. = ${450 × 10}/9$ = Rs.500

Answer: (b)

S.P. - C.P.=${10\text"S.P."}/100 = \text"S.P."/10$

S.P.- $\text"S.P."/100$ = 100= 27

S.P.= ${27 × 10}/9$ = Rs.30

Using Rule 1,

C.P. = 27, Profit = $10/100$

S.P. = $\text"S.P."/10$

Profit = S.P. - C.P.

$\text"S.P."/10$ = S.P. - 27

27 = S.P. - $\text"S.P."/10$

S.P. = ${27 × 10}/9$ = Rs.30

Answer: (d)

If the S.P. of article be x, then its

CP = $x - x/4$ = Rs.${3x}/4$

Gain % = ${x/4}/{{3x}/4} × 100$

= $100/3 = 33{1}/3$%

Answer: (d)

CP of 75 litres of mixture of milk and water = Rs.630

SP of 75 litres of mixture of milk

and water = 9 × 75 = Rs.675

Gain = 675 - 630 = Rs.45

Gain per cent = $45/630 × 100 = 50/7 = 7{1}/7$%

Answer: (d)

If the cost price be Rs.x, then

S.P. = $100/95x = Rs.20/19x$

Gain = ${20x}/19 - x = Rs.x/19$

Gain per cent = ${x/19}/x × 100 = 5.26%$

Using Rule 3,

Here C.P. = $95/100$ S.P.

C.P. = S.P.$(100/{100 + Profit%})$

$95/100$ S.P.

= S.P.$(100/{100 + Profit%})$

9500 + 95 profit% = 10000

Profit % = $500/95$ = 5.26%

Answer: (b)

C.P. of article = Rs.x (let)

S.P. of article = Rs.${4x}/3$

Gain = ${4x}/3 - x = {4x - 3x}/3$ = Rs.$x/3$

Gain per cent = ${x/3}/x × 100$

= $100/3 = 33{1}/3%$