model 7 sold at loss Practice Questions Answers Test with Solutions & More Shortcuts

Answer: (a)

Let the C.P. of article be Rs. x.

According to the question,

${x ×105}/100 - {x × 80}/100$ = 200

105x - 80x = 20000

25x = 20000

$x = 20000/25$ = Rs. 800

Using Rule 11,

Here, x = 20%, R= 200, y = 5%

C.P. = ${R × 100}/{y + x}$

= ${200 × 100}/{20 + 5}$

= ${200 × 100}/25$ = Rs.800

Answer: (b)

If the C.P. of watch be Rs.x, then

First S.P. = ${9x}/10$

${105x}/100 - {9x}/10 = 45$

${105x - 90x}/100 = 45$

${15x}/100 = 45$

$x = {45 × 100}/15$ = Rs.300

S. P. = ${300 × 9}/10$ = Rs.270

Using Rule 11,

Here, x = 10%, R = Rs.45, y = 5%

C.P. = ${R × 100}/{y + x}$

= $4500/{10 + 5} = 4500/15$ = 300

S.P. = 300 - 300 × $10/100$

S.P. = Rs.270

Answer: (c)

Let the CP of cycle be Rs.x.

S.P. = ${108x}/100$

${108x}/100 + 75 = {114x}/100$

108x + 7500 = 114x

114x - 108x = 7500

6x = 7500 ⇒ $x = 7500/6$ = Rs.1250

Using Rule 11,

Here, x = 8%, R= Rs.75, y = 14%

C.P. = ${R × 100}/{y - x}$

= ${75 × 100}/{14 - 8}$

= $7500/6$ = Rs.1250

Answer: (a)

Let the cost price of the article = Rs.x

S.P. at 10% loss

= $x × 90/100 = {9x}/10$

S.P. at $12{1}/2%$ gain

=$x × {100 + 12{1}/2}/100 = {225x}/200$

According to the question

${9x}/10 + 9 = {225x}/200$

180x + 1800 = 225x

225x - 180x = 1800

45x = 1800 ⇒ x = Rs.40

Here, x = 10%, R= 9, y = 12.5%

C.P. = ${R × 100}/{y + x}$

= ${9 × 100}/{12.5 + 10} = 900/{22.5}$ = Rs.40

Answer: (c)

C.P. of article = Rs.x

First S.P. = ${80x}/100$ = Rs.${4x}/5$

According to question,

${4x}/5 + 200 = {105x}/100 = {21x}/20$

${21x}/20 - {4x}/5$ = 200

${21x - 16x}/20 = 200$

${5x}/20$ = 200 ⇒ x = 4 × 200 = Rs.800

Using Rule 11,

Here, x = 20%, R = Rs.200, y=5%

C.P. = ${R × 100}/{y + x}$

= ${200 × 100}/{5 + 20}$

= $20000/25$ = Rs.800