If Ram rsquo s income exceeds Shyam rsquo s income by 70 and Shyam rsquo s income is less than Sohan...........

Quantitative Aptitude (CPO) Profit and loss

If Ram’s income exceeds Shyam’s income by 70% and Shyam’s income is less than Sohan’s income by 30%, then find the ratio

of the incomes of Ram and Sohan.

This questions was previously asked in

SSC CPO 10th Nov 2022 Shift 1

119 : 100

121 : 102

120 : 101

118 : 99

- Let's define variables: Let Shyam's income be `s`.

- Ram's income exceeds Shyam's income by 70%. This means Ram's income is `s + 0.70s = 1.70s`.

- Shyam's income is 30% less than Sohan's income. Therefore, Shyam's income `s = 0.70x`, where `x` is Sohan's income.

- Rearranging for `x`, Sohan's income `x = s / 0.70`.

- So, the ratio of Ram's income to Sohan's income is `(1.70s) / (s / 0.70)` = `1.70 / 0.70` = `170 / 70` = `17 / 7`.

- To compare with options given, convert this to a ratio with a denominator of 100:

- `(17 / 7) * (100 / 100) = (17 * 100) / (7 * 100) = 1700 / 700 = 1190 / 700` = `119 / 100`.

- Therefore, the correct option is:

Option 1: 119 : 100

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