CGL 21 Tier 2 Maths


Question 1

A sum of ₹1250 has to be distributed among A, B, C and D. Total share of B and D is equal to (14/11) of total share of A and C. Share of D is half of share of A. Share of C is 1.2 of Share of A. What are the shares of A, B, C and D respectively?

₹1250 को A, B, C तथा D में विभाजित किया जाना है। B तथा D का कुल हिस्सा, A तथा C के कुल हिस्से का (14/11) है। D का | हिस्सा, A के हिस्से का आधा है। C का हिस्सा, A के हिस्से का 1.2 गुना है। A, B, C तथा D के हिस्से क्रमशः कितने-कितने है?


Options

A

₹350, ₹525, ₹300, ₹125

₹350, ₹525, ₹300, ₹125

B

₹250, ₹575, ₹300, ₹175

₹250, ₹575, ₹300, ₹175

C

₹250, ₹575, ₹300, ₹125

₹250, ₹575, ₹300, ₹125

D

₹250, ₹525, ₹300, ₹125

₹250, ₹525, ₹300, ₹125


Solution:

Correct Answer:

C

₹250, ₹575, ₹300, ₹125

₹250, ₹575, ₹300, ₹125


A + B + C + D = 1250

11(B + D) = 14(A + C)

A = 2D, C = 1.2A = 2.4D

11(B + D) = 14(2D + 2.4D) = 14 × (4.4D)

10B + 10D = 56D

B = 4.6D

2D + 4.6D + 2.4D + D = 1250

10D = 1250

D = 125

A = 2D = 250

B = 4.6D = 575

​​​​​​​C = 2.4D = 300

A + B + C + D = 1250

11(B + D) = 14(A + C)

A = 2D, C = 1.2A = 2.4D

11(B + D) = 14(2D + 2.4D) = 14 × (4.4D)

10B + 10D = 56D

B = 4.6D

2D + 4.6D + 2.4D + D = 1250

10D = 1250

D = 125

A = 2D = 250

B = 4.6D = 575

​​​​​​​C = 2.4D = 300

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