81. Two type of rice mixed in the ratio of 26: 17 and the rate of rice is 17 per kg and 13 per kg respectively. Find the selling price of the mixer, if the profit is 29%.

दो प्रकार के चावल को 26: 17 के अनुपात में मिलाया जाता है और चावल की दर क्रमशः 17 प्रति किलोग्राम और 13 प्रति किलोग्राम है। मिश्रण का विक्रय मूल्य ज्ञात करें, यदि लाभ 29% है।

A. 19
B. 18
C. 23
D. 19.89
E. Can’t be determined

Option “D” is correct.

The ratio = 26: 17

The rate of rice = 17 and 13

Rate of 1st type of rice = 26 * 17 = 442

Rate of 2nd type of rice = 17 * 13 = 221

Price per kg of the mixer = (442 + 221)/(26 + 17) = 663/43

SP = (663/43) * (129/100) = 19.89

82. A shopkeeper mixes two types of Rice costing Rs.50/kg and Rs.75/Kg in the ratio of 3: 5 in container A. He mixes two types of wheat costing Rs.60/Kg and Rs.80/Kg in the ratio of 1: 3 in container B. Average cost of rice in container A is what percentage of the average cost of wheat in container B?

एक दुकानदार दो प्रकार के चावल लागत 50 रुपये/किलो और 75 रुपये/किलो की दर से 3: 5 के अनुपात में कंटेनर A में मिश्रण करता है। वह दो प्रकार के गेहूं को मिलाकर 60 रुपये/किलो और 80 रुपये/किलो की दर से 1: 3 के अनुपात में कंटेनर B में मिश्रण करता है। कंटेनर A में चावल की औसत लागत कंटेनर B में गेहूं की औसत लागत का कितना प्रतिशत है?

A. 86.2%
B. 87.5%
C. 85.4%
D. 82.5%
E. None of these

Option “B” is correct.

Let, average cost of rice in container A = Rs. k

And average cost of wheat in container B = Rs. n

(75 – k)/(k – 50) = 3/5

=> 375 – 5k = 3k – 150

=> 5k + 3k = 375 + 150

=> 8k = 525

=> k = 525/8

=> k = Rs.65.625

(80 – n)/(n – 60) = 1/3

=> 240 – 3n = n – 60

=> 3n + n = 240 + 60

=> 4n = 300

=> n = 300/4

=> n = Rs.75

Required percentage = 65.625/75 x 100 = 87.5%

83. Some quantity of rice costing Rs.30/kg is mixed with some quantity of rice costing Rs.35/kg. If final mixture costs Rs.32/kg, then find the ratio of quantity in which they are mixed?

रु .30 / किग्रा वाली चावल की कुछ मात्रा को रु .35 / किग्रा वाली चावल की कुछ मात्रा के साथ मिश्रण किया जाता है। यदि अंतिम मिश्रण की लागत रु32 / किग्रा है, तो उस मात्रा का अनुपात ज्ञात करें जिसमें वे मिश्रित हैं?

A. 2: 5
B. 3: 2
C. 1: 6
D. 6: 5
E. None of these

Option “B” is correct.
x/y = (35 – 32)/(32 – 30) = 3/2

84. The shopkeeper has two types of wheat A and B and the rate of type A wheat is Rs.80 per kg and the rate of type B wheat is Rs.150 per kg. If he mixed type A and B wheat and sold the mixture is Rs.100 per kg, then find the ratio of the mixture of type A wheat to type B wheat?

दुकानदार के पास दो प्रकार के गेहूं A और B हैं और प्रकार A गेहूं की दर 80 रुपये प्रति किलोग्राम है और B प्रकार के गेहूं की दर 150 रुपये प्रति किलोग्राम है। यदि वह A और B प्रकार के गेहूं को मिश्रित करता है और इस मिश्रण को 100 रुपये प्रति किलोग्राम में बेच देता है, तो प्रकार A गेहूं तथा प्रकार B गेहूं के मिश्रण का अनुपात ज्ञात कीजिए?

A. 5:2
B. 4:3
C. 3:2
D. 3:1
E. 4:1

Option “A” is correct.

= 5:2

85. Two varieties of wheat mixed with in the ratio of 4:5. The price of first variety of wheat is Rs.35 per kg and that of second type of wheat is Rs.40 per kg. Find the price of 36 kg of the mixture?

गेहूँ की दो किस्मों को 4: 5 के अनुपात में मिश्रित किया गया। पहली किस्म के गेहूं का मूल्य 35 रुपये प्रति किलोग्राम है और दूसरी किस्म के गेहूं का मूल्य 40 रुपये प्रति किलोग्राम है। मिश्रण के 36 किलोग्राम के मूल्य को ज्ञात कीजिये?

A. Rs.1280
B. Rs.1320
C. Rs.1340
D. Rs.1360
E. None of these

Option “D” is correct.

Required price = 36 * 4/9 * 35 + 36 * 5/9 * 40

= 560 + 800

= Rs.1360

86. Two type of rice mixed in the ratio of 26: 17 and the rate of two types of rice is 17 per kg and 13 per kg respectively. Find the selling price of the mixer, if the profit is 29%.

दो प्रकार के चावल को 26: 17 के अनुपात में मिलाया जाता है और चावल की दर क्रमशः 17 रूपए प्रति किलोग्राम और 13 रूपए प्रति किलोग्राम है। मिश्रण का विक्रय मूल्य ज्ञात करें, यदि लाभ 29% है।

A. 19
B. 18
C. 23
D. 19.89
E. Can’t be determined

Option “D” is correct.

The ratio = 26: 17

The rate of rice = 17 and 13

Rate of 1st type of rice = 26 * 17 = 442

Rate of 2nd type of rice = 17 * 13 = 221

Price per kg of the mixer = (442 + 221)/(26 + 17) = 663/43

SP = (663/43) * (129/100) = 19.89

87. In what ratio must two varieties of rice worth Rs. 30 per kg and Rs. 40 per kg, so that selling price of the rice is Rs. 51 per kg, he may gain 50%?

किस अनुपात में चावल की दो किस्में जो रु.30 प्रति किलो और रु.40 प्रति किलो को मिलाया जाना चाहिए ताकि रु.51 प्रति किलो बेचने पर उसे 50% का लाभ हो ?

A. 3: 2
B. 1: 2
C. 3: 4
D. 4: 7
E. 3: 5

Option “A” is correct.
CP of the mixture = 51/150 * 100 = 34

The required ratio = 3: 2

88. The 48 kg of the rice bought at Rs.60 per kg and x kg of another type of rice bought at Rs.72 per kg. If the mixture of rice is sold at Rs.80 per kg at the profit of 25%, then find the value of x?

48 किलो चावल 60 रुपये प्रति किलो पर खरीदा गया और x किलो चावल 72 रुपये प्रति किलो पर खरीदा गया। यदि चावल के मिश्रण को 25% के लाभ पर 80 रु प्रति किग्रा की दर से बेचा जाता है, तो x का मान ज्ञात कीजिए।

A. 24 kg
B. 28 kg
C. 32 kg
D. 20 kg
E. None of these

Option “A” is correct.
Original mixture price = 80 * 100/125 = 64 per kg

=8:4=2:1

x=1/2 * 48=24 kg

89. A shopkeeper has 270 kg of wheat, part of which he sells at 9% profit and the rest at 18% profit. He gains 15% on the whole. The quantity of wheat sold at 9% profit is how much more or less than the quantity of wheat sold at 18% profit?

एक दुकानदार के पास 270 किग्रा गेहूँ है, जिसका एक भाग वह 9% लाभ पर तथा शेष 18% लाभ पर बेचता है। उसे कुल मिलाकर 15% का लाभ होता है। 9% लाभ पर बेचे गए गेहूं की मात्रा 18% लाभ पर बेची गई गेहूं की मात्रा से कितनी अधिक या कम है?

A. 180 kg less
B. 90 kg less
C. 135 kg less
D. 100 kg less
E. 125 kg less

Option “B” is correct.

Total quantity = 270 kg = 1x + 2x = 3x = 270kg

Quantity of wheat sold at 9% profit = (1/3) * 270 = 90 kg

Quantity of wheat sold at 18% profit = (2/3) * 270 = 180 kg

Required difference = 180 – 90 = 90 kg less

90. A shopkeeper mixes two types of Rice costing Rs.50/kg and Rs.75/Kg in the ratio of 3: 5 in container A. He mixes two types of wheat costing Rs.60/Kg and Rs.80/Kg in the ratio of 1: 3 in container B. Average cost of rice in container A is what percentage of the average cost of wheat in container B?

एक दुकानदार कंटेनर A में 3:5 के अनुपात में 50 रुपये/किलोग्राम और 75 रुपये/किलोग्राम के दो प्रकार के चावल मिलाता है। वह कंटेनर B में 1:3 के अनुपात में 60 रुपये/किलोग्राम और 80 रुपये/किलोग्राम के दो प्रकार के गेहूं मिलाता है। कंटेनर A में चावल की औसत लागत कंटेनर B में गेहूं की औसत लागत का कितना प्रतिशत है?

A. 86.2%
B. 87.5%
C. 85.4%
D. 82.5%
E. None of these

Option “B” is correct.

Let, average cost of rice in container A = Rs. k

And average cost of wheat in container B = Rs. n

(75 – k)/(k – 50) = 3/5

=> 375 – 5k = 3k – 150

=> 5k + 3k = 375 + 150

=> 8k = 525

=> k = 525/8

=> k = Rs.65.625

(80 – n)/(n – 60) = 1/3

=> 240 – 3n = n – 60

=> 3n + n = 240 + 60

=> 4n = 300

=> n = 300/4

=> n = Rs.75

Required percentage = 65.625/75 x 100 = 87.5%

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