# RS-16X

Q51. A shopkeeper sold a TV set for Rs. 17940 with a discount of 8% and earned a profit of 19.6%. Wht would have been the percentage of profit earned if no discount was offered.
(a) 23.07%
(b) 23.89%
(c) 24.56%
(d) 24.98% S.P = 92% of Rs. 17940

= Rs. 92/100 X 17940 = Rs. 16504.80

Profit = 19.6 %

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At selling price Rs. 119.6 cost price be Rs. 100

∴ At selling price Rs. 1 cost price be Rs. 100/119.6

∴ At selling price Rs. 16504.80 cost price be Rs. (100/119.6) X 16504.80 = Rs. 13800

∴ C.P = Rs. 13800

S.P = Rs. 17940

∴ Profit = Rs. (17940 - 13800) = Rs. 4140

Profit % = (4140/17940) X 100 = 23.07 %

Q52. The marked price of a shirt and trousers are in the ratio 1:2. The shopkeeper gives 40% discount on the shirt. If the total discount on both is 30%, the discount offered on the trouser is
(a) 21%
(b) 23%
(c) 25%
(d) 29%

Let, the marked price of shirt be Rs. x

and the marked price of trousers be Rs. 2x

Let, the discount of trousers be y%

A/Q x X 40% + 2x X y% = (x + 2x) X 30%

 ⇒ 40x + 2xy = 30 X 3x 100 100 100

⇒ 40x + 2xy = 90x

⇒ 50x = 2xy

⇒ y = 50x/2x = 25

Q53. A wholeseller sells 20 pens at the marked price of 16 pens to a retailer. The retailer in turn sells them at the marked price. The gain percent to the retailer is
(a) 18%
(b) 22%
(c) 24%
(d) 25%

Let, the M.P of each pen be Rs. x

∴ S.P of 20 pens = M.P of 16 pens = Rs. 16 X x = Rs. 16x

∴ Retailer C.P of 20 pens = Rs. 16x

Retailer S.P of 20 pens = Rs. 20 X x = Rs. 20x Tagalog to english translation. ∴ Gain = Rs. (20x - 16x) = Rs. 4x

∴ Gain % = 4x/16x X 100 = 25%

Q54. A shopkeeper claims to sell his articles at a discount of 10%, but marks his articles by increasing the cost of each by 20%. His gain percent is
(a) 8%
(b) 12%
(c) 14%
(d) 17%

Let the C.P be Rs. 100

∴ M.P = Rs. 120

∴ S.P = Rs. (90/100) X 120 = Rs. 108

Gain = Rs. (108 - 100) = Rs. 8

Gain % = (8/100) X 100 = 8%

Q55. If the manufacturer gains 10%, the wholesale dealer 15% and the retailer 25%, then the cost of production of an article whose retail price is Rs. 1265 is
(a) Rs. 800
(b) Rs. 850
(c) Rs. 925
(d) Rs. 975

Let, the cost of production be Rs. x

 Now x X 110 X 115 X 125 = 1265 100 100 100
 ⇒ x X 11 X 23 X 25 = 1265 10 20 20
 ⇒ x = 1265 X 10 X 20 X 20 11 X 23 X 25

= 800

Q56. A fruit seller buys lemons at 2 for a rupee and sells them at 5 for 3 rupees. His gain percent is
(a) 17%
(b) 20%
(c) 22%
(d) 26%

C.P of 2 lemon = Rs. 1

C.P of 1 lemon = Rs. ½ S.P of 5 lemon = Rs. 3

S.P of 1 lemon = Rs. 3/5

 Gain = Rs. ( 3 - 1 ) = Rs. 6 - 5 = Rs. 1 5 2 10 10
 Gain % = 1/10 X 100 = 2 X 100 = 20% ½ 10

Q57. A shopkeeper sells a badminton racket whose marked price is Rs. 30 at a discount of 25% and gives a shuttle cock costing Rs. 1.50 free with each racket. Even then he makes a profit of 20%. His cost price per racket is
(a) Rs. 17
(b) Rs. 20
(c) Rs. 22
(d) Rs. 24 M.P = Rs. 30

Discount = 15% and Rs. 1.50

 ∴ S.P = Rs. ( 85 X 30 - 1.50 ) 100
 = Rs. ( 51 - 3 ) 2 2

### Rs Lcd 16x2

= Rs. 48/2 = Rs. 24

∴ Gain % = 20%

 ∴ C.P = Rs. ( 100 X 24 ) = Rs.20 120

Q58. An article passing through two hands, is sold at a profit of 38% at the original cost price. If the first dealer makes a profit of 20%, then the profit percent made by the second is
(a) 8%
(b) 12%
(c) 15%
(d) 18%

Let, the C.P be Rs. 100

∴ S.P = Rs. 138

Let, the profit made by 2nd dealer be x%

∴ (100 + x)% of 120% of Rs. 100 = Rs. 138

 ⇒ 100 + x X 120 X 100 = 138 100 100

⇒ 12000 + 120x = 13800

⇒ 120x = 13800 - 12000 = 1800

⇒ x = 1800/120 = 15

Q59. A merchant purchases a wrist watch for Rs. 450 and fixed the list price in such a way that after allowing a discount of 10% he earns a profit of 20%. The list price of the watch is
(a) Rs. 475
(b) Rs. 490
(c) Rs. 550
(d) Rs. 600

C.P = Rs. 450

Gain = 20%

∴ S.P = Rs. (120/100) X 450 = Rs. 540

Let the list price be Rs. x

∴ 90% of x = 540

⇒ (90/100) X x = 540

⇒ x = (540 X 100)/90 = 600

Q60. Two thirds of a consignment was sold at a profit of 6% and the rest at a loss of 3%. If there was an overall profit of Rs. 540, the value of consignment was
(a) Rs. 14750
(b) Rs. 15000
(c) Rs. 16500
(d) Rs. 18000

Let, the value of consignment be Rs. x

 ∴ S.P = Rs. ( 2 X x X 106 X 1 X x X 97 ) 3 100 3 100
 = Rs. ( 53x + 97x ) 75 300
 = Rs. 212x + 97x 300
 = Rs. 309 x 300
 ∴ 309 - x = 540 300

### Rs-16x Os X

⇒ 9x/300 = 540

⇒ x = (540 X 300)/9 = 18000 