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SSC CGL Tier II 25 Oct 2015 Paper 1

Question : 3 of 100

Marks: +1, -0

Solution:

(2) Let the loans taken by A, B and C be Rs. x, Rs. y and Rs. z respectively.

∴ x + y + z = Rs. 7930

S.1.

= \frac{\text{Principal} \times \text{Time} \times \text{Rate}}{100}

According to the question,

x + \frac{x \times 2 \times 5}{100} = y + \frac{y \times 3 \times 5}{100}

= z + \frac{z \times 4 \times 5}{100}

\Rightarrow \frac{100x + 10x}{100}

= \frac{100y + 15y}{100} = \frac{100z + 20z}{100}

\Rightarrow 110x = 115y = 120z

\Rightarrow 22x = 23y = 24z

\Rightarrow \frac{22x}{6072} = \frac{23y}{6072} = \frac{24z}{6072}

[LCM of 22, 23 and 24 = 6072]

\Rightarrow \frac{x}{276} = \frac{y}{264} = \frac{z}{253}

\therefore x : y : z = 276 : 264 : 253

Sum of terms of ratio

= 276 + 264 + 253 = 793

\therefore

A's loan

= \frac{276}{793} \times 7930

=

Rs. 2760

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