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GATE Overflow Test Series | Quantitative Aptitude | Test 1 | Question: 1

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All fifteen members of Indian cricket team planned to share equally the cost of buying a gift for their coach Ravi Shastri. When three of them decided not to contribute, each of the other player had to pay Rs. $5420$ more. The cost of the gift was ₹ ______
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2 Answers

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Let each player contribute $'x'$ rupees for the gift. Then, cost price $ = \, Rs. 15x.$

According to the question$,15 x = 12(x + 5420)$

$\implies 3x =12 \times 5420$

$\implies x = 21680$

$\therefore$ Cost of the gift $ = 15x = 15 \times 21680 = Rs.\,325200.$
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Let gift cost be P.

Priorly, each player is contributing equally so, let x

15x = P…….(i)

Later, 3 are not paying and remaining 12 had to pay 5420 extra,

12x + 12 * 5420 = P…...(ii)

 

Solving (i) and (ii) we get P = 325200
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